XOR-Based Progressively Secret Image Sharing Article Swipe
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/math9060612
Secret image sharing technology is a strategy for jointly protecting secret images. The (n, n) secret image sharing problem can be solved by conventional Boolean calculation easily. However, how to recover secret images with progressive steps is not addressed. In this study, we proposed an XOR-based (m, t, Ti) multi-secret image sharing scheme that shares m secret images among m participants and recovers m shared images progressively with t thresholds. The proposed secret images partition strategy (SIPS) partitions m secret images to generate intermediate images for different thresholds in the sharing procedure. Based on progressive recovery property, the proposed recovery method recovers parts of the secret images by gathering consecutive shared images. Moreover, gathering all shared images can perfectly recover all secret images. The experimental results show that the proposed XOR-based multi-secret image sharing method has high security and efficiency.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/math9060612
- https://www.mdpi.com/2227-7390/9/6/612/pdf?version=1616050279
- OA Status
- gold
- Cited By
- 5
- References
- 34
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3138619437
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W3138619437Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.3390/math9060612Digital Object Identifier
- Title
-
XOR-Based Progressively Secret Image SharingWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-03-12Full publication date if available
- Authors
-
Cheng-Shian Lin, Chien-Chang Chen, Yucheng ChenList of authors in order
- Landing page
-
https://doi.org/10.3390/math9060612Publisher landing page
- PDF URL
-
https://www.mdpi.com/2227-7390/9/6/612/pdf?version=1616050279Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://www.mdpi.com/2227-7390/9/6/612/pdf?version=1616050279Direct OA link when available
- Concepts
-
Secret sharing, Image sharing, Homomorphic secret sharing, Image (mathematics), Computer science, Exclusive or, Shamir's Secret Sharing, Secure multi-party computation, Shared secret, Bitwise operation, Theoretical computer science, Verifiable secret sharing, Partition (number theory), Computer vision, Artificial intelligence, Mathematics, Cryptography, Algorithm, Combinatorics, Decoding methods, Programming language, Set (abstract data type)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
5Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 1, 2023: 2, 2022: 2Per-year citation counts (last 5 years)
- References (count)
-
34Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W3138619437 |
|---|---|
| doi | https://doi.org/10.3390/math9060612 |
| ids.doi | https://doi.org/10.3390/math9060612 |
| ids.mag | 3138619437 |
| ids.openalex | https://openalex.org/W3138619437 |
| fwci | 0.51109739 |
| type | article |
| title | XOR-Based Progressively Secret Image Sharing |
| biblio.issue | 6 |
| biblio.volume | 9 |
| biblio.last_page | 612 |
| biblio.first_page | 612 |
| topics[0].id | https://openalex.org/T10388 |
| topics[0].field.id | https://openalex.org/fields/17 |
| topics[0].field.display_name | Computer Science |
| topics[0].score | 1.0 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/1707 |
| topics[0].subfield.display_name | Computer Vision and Pattern Recognition |
| topics[0].display_name | Advanced Steganography and Watermarking Techniques |
| topics[1].id | https://openalex.org/T11017 |
| topics[1].field.id | https://openalex.org/fields/17 |
| topics[1].field.display_name | Computer Science |
| topics[1].score | 0.996399998664856 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/1707 |
| topics[1].subfield.display_name | Computer Vision and Pattern Recognition |
| topics[1].display_name | Chaos-based Image/Signal Encryption |
| topics[2].id | https://openalex.org/T10237 |
| topics[2].field.id | https://openalex.org/fields/17 |
| topics[2].field.display_name | Computer Science |
| topics[2].score | 0.984499990940094 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/1702 |
| topics[2].subfield.display_name | Artificial Intelligence |
| topics[2].display_name | Cryptography and Data Security |
| is_xpac | False |
| apc_list.value | 1800 |
| apc_list.currency | CHF |
| apc_list.value_usd | 1949 |
| apc_paid.value | 1800 |
| apc_paid.currency | CHF |
| apc_paid.value_usd | 1949 |
| concepts[0].id | https://openalex.org/C3087436 |
| concepts[0].level | 3 |
| concepts[0].score | 0.908860445022583 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q1386603 |
| concepts[0].display_name | Secret sharing |
| concepts[1].id | https://openalex.org/C2780639701 |
| concepts[1].level | 3 |
| concepts[1].score | 0.8147477507591248 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q354869 |
| concepts[1].display_name | Image sharing |
| concepts[2].id | https://openalex.org/C132161212 |
| concepts[2].level | 4 |
| concepts[2].score | 0.7563807368278503 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q5891458 |
| concepts[2].display_name | Homomorphic secret sharing |
| concepts[3].id | https://openalex.org/C115961682 |
| concepts[3].level | 2 |
| concepts[3].score | 0.6575645804405212 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q860623 |
| concepts[3].display_name | Image (mathematics) |
| concepts[4].id | https://openalex.org/C41008148 |
| concepts[4].level | 0 |
| concepts[4].score | 0.6333001852035522 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[4].display_name | Computer science |
| concepts[5].id | https://openalex.org/C35898486 |
| concepts[5].level | 3 |
| concepts[5].score | 0.5942850112915039 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q498186 |
| concepts[5].display_name | Exclusive or |
| concepts[6].id | https://openalex.org/C131755552 |
| concepts[6].level | 5 |
| concepts[6].score | 0.5769512057304382 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q935125 |
| concepts[6].display_name | Shamir's Secret Sharing |
| concepts[7].id | https://openalex.org/C18396474 |
| concepts[7].level | 3 |
| concepts[7].score | 0.5749583840370178 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q2465888 |
| concepts[7].display_name | Secure multi-party computation |
| concepts[8].id | https://openalex.org/C184660509 |
| concepts[8].level | 3 |
| concepts[8].score | 0.5337382555007935 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q462624 |
| concepts[8].display_name | Shared secret |
| concepts[9].id | https://openalex.org/C134765980 |
| concepts[9].level | 2 |
| concepts[9].score | 0.5020725727081299 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q879126 |
| concepts[9].display_name | Bitwise operation |
| concepts[10].id | https://openalex.org/C80444323 |
| concepts[10].level | 1 |
| concepts[10].score | 0.4607395529747009 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q2878974 |
| concepts[10].display_name | Theoretical computer science |
| concepts[11].id | https://openalex.org/C85847156 |
| concepts[11].level | 3 |
| concepts[11].score | 0.45521068572998047 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q59015987 |
| concepts[11].display_name | Verifiable secret sharing |
| concepts[12].id | https://openalex.org/C42812 |
| concepts[12].level | 2 |
| concepts[12].score | 0.434894859790802 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q1082910 |
| concepts[12].display_name | Partition (number theory) |
| concepts[13].id | https://openalex.org/C31972630 |
| concepts[13].level | 1 |
| concepts[13].score | 0.39286625385284424 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q844240 |
| concepts[13].display_name | Computer vision |
| concepts[14].id | https://openalex.org/C154945302 |
| concepts[14].level | 1 |
| concepts[14].score | 0.3891531527042389 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q11660 |
| concepts[14].display_name | Artificial intelligence |
| concepts[15].id | https://openalex.org/C33923547 |
| concepts[15].level | 0 |
| concepts[15].score | 0.3209420442581177 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[15].display_name | Mathematics |
| concepts[16].id | https://openalex.org/C178489894 |
| concepts[16].level | 2 |
| concepts[16].score | 0.30365580320358276 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q8789 |
| concepts[16].display_name | Cryptography |
| concepts[17].id | https://openalex.org/C11413529 |
| concepts[17].level | 1 |
| concepts[17].score | 0.25774991512298584 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q8366 |
| concepts[17].display_name | Algorithm |
| concepts[18].id | https://openalex.org/C114614502 |
| concepts[18].level | 1 |
| concepts[18].score | 0.08153009414672852 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q76592 |
| concepts[18].display_name | Combinatorics |
| concepts[19].id | https://openalex.org/C57273362 |
| concepts[19].level | 2 |
| concepts[19].score | 0.0669841468334198 |
| concepts[19].wikidata | https://www.wikidata.org/wiki/Q576722 |
| concepts[19].display_name | Decoding methods |
| concepts[20].id | https://openalex.org/C199360897 |
| concepts[20].level | 1 |
| concepts[20].score | 0.0 |
| concepts[20].wikidata | https://www.wikidata.org/wiki/Q9143 |
| concepts[20].display_name | Programming language |
| concepts[21].id | https://openalex.org/C177264268 |
| concepts[21].level | 2 |
| concepts[21].score | 0.0 |
| concepts[21].wikidata | https://www.wikidata.org/wiki/Q1514741 |
| concepts[21].display_name | Set (abstract data type) |
| keywords[0].id | https://openalex.org/keywords/secret-sharing |
| keywords[0].score | 0.908860445022583 |
| keywords[0].display_name | Secret sharing |
| keywords[1].id | https://openalex.org/keywords/image-sharing |
| keywords[1].score | 0.8147477507591248 |
| keywords[1].display_name | Image sharing |
| keywords[2].id | https://openalex.org/keywords/homomorphic-secret-sharing |
| keywords[2].score | 0.7563807368278503 |
| keywords[2].display_name | Homomorphic secret sharing |
| keywords[3].id | https://openalex.org/keywords/image |
| keywords[3].score | 0.6575645804405212 |
| keywords[3].display_name | Image (mathematics) |
| keywords[4].id | https://openalex.org/keywords/computer-science |
| keywords[4].score | 0.6333001852035522 |
| keywords[4].display_name | Computer science |
| keywords[5].id | https://openalex.org/keywords/exclusive-or |
| keywords[5].score | 0.5942850112915039 |
| keywords[5].display_name | Exclusive or |
| keywords[6].id | https://openalex.org/keywords/shamirs-secret-sharing |
| keywords[6].score | 0.5769512057304382 |
| keywords[6].display_name | Shamir's Secret Sharing |
| keywords[7].id | https://openalex.org/keywords/secure-multi-party-computation |
| keywords[7].score | 0.5749583840370178 |
| keywords[7].display_name | Secure multi-party computation |
| keywords[8].id | https://openalex.org/keywords/shared-secret |
| keywords[8].score | 0.5337382555007935 |
| keywords[8].display_name | Shared secret |
| keywords[9].id | https://openalex.org/keywords/bitwise-operation |
| keywords[9].score | 0.5020725727081299 |
| keywords[9].display_name | Bitwise operation |
| keywords[10].id | https://openalex.org/keywords/theoretical-computer-science |
| keywords[10].score | 0.4607395529747009 |
| keywords[10].display_name | Theoretical computer science |
| keywords[11].id | https://openalex.org/keywords/verifiable-secret-sharing |
| keywords[11].score | 0.45521068572998047 |
| keywords[11].display_name | Verifiable secret sharing |
| keywords[12].id | https://openalex.org/keywords/partition |
| keywords[12].score | 0.434894859790802 |
| keywords[12].display_name | Partition (number theory) |
| keywords[13].id | https://openalex.org/keywords/computer-vision |
| keywords[13].score | 0.39286625385284424 |
| keywords[13].display_name | Computer vision |
| keywords[14].id | https://openalex.org/keywords/artificial-intelligence |
| keywords[14].score | 0.3891531527042389 |
| keywords[14].display_name | Artificial intelligence |
| keywords[15].id | https://openalex.org/keywords/mathematics |
| keywords[15].score | 0.3209420442581177 |
| keywords[15].display_name | Mathematics |
| keywords[16].id | https://openalex.org/keywords/cryptography |
| keywords[16].score | 0.30365580320358276 |
| keywords[16].display_name | Cryptography |
| keywords[17].id | https://openalex.org/keywords/algorithm |
| keywords[17].score | 0.25774991512298584 |
| keywords[17].display_name | Algorithm |
| keywords[18].id | https://openalex.org/keywords/combinatorics |
| keywords[18].score | 0.08153009414672852 |
| keywords[18].display_name | Combinatorics |
| keywords[19].id | https://openalex.org/keywords/decoding-methods |
| keywords[19].score | 0.0669841468334198 |
| keywords[19].display_name | Decoding methods |
| language | en |
| locations[0].id | doi:10.3390/math9060612 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4210192031 |
| locations[0].source.issn | 2227-7390 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | 2227-7390 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | True |
| locations[0].source.display_name | Mathematics |
| locations[0].source.host_organization | https://openalex.org/P4310310987 |
| locations[0].source.host_organization_name | Multidisciplinary Digital Publishing Institute |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310310987 |
| locations[0].source.host_organization_lineage_names | Multidisciplinary Digital Publishing Institute |
| locations[0].license | cc-by |
| locations[0].pdf_url | https://www.mdpi.com/2227-7390/9/6/612/pdf?version=1616050279 |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Mathematics |
| locations[0].landing_page_url | https://doi.org/10.3390/math9060612 |
| locations[1].id | pmh:oai:tkuir.lib.tku.edu.tw:987654321/120704 |
| locations[1].is_oa | False |
| locations[1].source | |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | submittedVersion |
| locations[1].raw_type | Journal Article |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | False |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/120704 |
| locations[2].id | pmh:oai:tkuir.lib.tku.edu.tw:987654321/122946 |
| locations[2].is_oa | False |
| locations[2].source | |
| locations[2].license | |
| locations[2].pdf_url | |
| locations[2].version | submittedVersion |
| locations[2].raw_type | |
| locations[2].license_id | |
| locations[2].is_accepted | False |
| locations[2].is_published | False |
| locations[2].raw_source_name | |
| locations[2].landing_page_url | https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122946 |
| locations[3].id | pmh:oai:doaj.org/article:474c9dae66eb43e58455fe54d45628fd |
| locations[3].is_oa | True |
| locations[3].source.id | https://openalex.org/S4306401280 |
| locations[3].source.issn | |
| locations[3].source.type | repository |
| locations[3].source.is_oa | False |
| locations[3].source.issn_l | |
| locations[3].source.is_core | False |
| locations[3].source.is_in_doaj | False |
| locations[3].source.display_name | DOAJ (DOAJ: Directory of Open Access Journals) |
| locations[3].source.host_organization | |
| locations[3].source.host_organization_name | |
| locations[3].license | cc-by-sa |
| locations[3].pdf_url | |
| locations[3].version | submittedVersion |
| locations[3].raw_type | article |
| locations[3].license_id | https://openalex.org/licenses/cc-by-sa |
| locations[3].is_accepted | False |
| locations[3].is_published | False |
| locations[3].raw_source_name | Mathematics, Vol 9, Iss 6, p 612 (2021) |
| locations[3].landing_page_url | https://doaj.org/article/474c9dae66eb43e58455fe54d45628fd |
| locations[4].id | pmh:oai:mdpi.com:/2227-7390/9/6/612/ |
| locations[4].is_oa | True |
| locations[4].source.id | https://openalex.org/S4306400947 |
| locations[4].source.issn | |
| locations[4].source.type | repository |
| locations[4].source.is_oa | True |
| locations[4].source.issn_l | |
| locations[4].source.is_core | False |
| locations[4].source.is_in_doaj | False |
| locations[4].source.display_name | MDPI (MDPI AG) |
| locations[4].source.host_organization | https://openalex.org/I4210097602 |
| locations[4].source.host_organization_name | Multidisciplinary Digital Publishing Institute (Switzerland) |
| locations[4].source.host_organization_lineage | https://openalex.org/I4210097602 |
| locations[4].license | cc-by |
| locations[4].pdf_url | |
| locations[4].version | submittedVersion |
| locations[4].raw_type | Text |
| locations[4].license_id | https://openalex.org/licenses/cc-by |
| locations[4].is_accepted | False |
| locations[4].is_published | False |
| locations[4].raw_source_name | Mathematics; Volume 9; Issue 6; Pages: 612 |
| locations[4].landing_page_url | https://dx.doi.org/10.3390/math9060612 |
| indexed_in | crossref, doaj |
| authorships[0].author.id | https://openalex.org/A5091854068 |
| authorships[0].author.orcid | https://orcid.org/0000-0001-6961-6792 |
| authorships[0].author.display_name | Cheng-Shian Lin |
| authorships[0].countries | TW |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I107470533 |
| authorships[0].affiliations[0].raw_affiliation_string | Department of Computer Science and Information Engineering, Tamkang University, New Taipei City 25137, Taiwan |
| authorships[0].institutions[0].id | https://openalex.org/I107470533 |
| authorships[0].institutions[0].ror | https://ror.org/04tft4718 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I107470533 |
| authorships[0].institutions[0].country_code | TW |
| authorships[0].institutions[0].display_name | Tamkang University |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Cheng-Shian Lin |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Department of Computer Science and Information Engineering, Tamkang University, New Taipei City 25137, Taiwan |
| authorships[1].author.id | https://openalex.org/A5038569083 |
| authorships[1].author.orcid | https://orcid.org/0000-0001-6974-2422 |
| authorships[1].author.display_name | Chien-Chang Chen |
| authorships[1].countries | TW |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I107470533 |
| authorships[1].affiliations[0].raw_affiliation_string | Department of Computer Science and Information Engineering, Tamkang University, New Taipei City 25137, Taiwan |
| authorships[1].institutions[0].id | https://openalex.org/I107470533 |
| authorships[1].institutions[0].ror | https://ror.org/04tft4718 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I107470533 |
| authorships[1].institutions[0].country_code | TW |
| authorships[1].institutions[0].display_name | Tamkang University |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Chien-Chang Chen |
| authorships[1].is_corresponding | True |
| authorships[1].raw_affiliation_strings | Department of Computer Science and Information Engineering, Tamkang University, New Taipei City 25137, Taiwan |
| authorships[2].author.id | https://openalex.org/A5100773463 |
| authorships[2].author.orcid | https://orcid.org/0000-0001-7373-0563 |
| authorships[2].author.display_name | Yucheng Chen |
| authorships[2].countries | TW |
| authorships[2].affiliations[0].institution_ids | https://openalex.org/I107470533 |
| authorships[2].affiliations[0].raw_affiliation_string | Department of Computer Science and Information Engineering, Tamkang University, New Taipei City 25137, Taiwan |
| authorships[2].institutions[0].id | https://openalex.org/I107470533 |
| authorships[2].institutions[0].ror | https://ror.org/04tft4718 |
| authorships[2].institutions[0].type | education |
| authorships[2].institutions[0].lineage | https://openalex.org/I107470533 |
| authorships[2].institutions[0].country_code | TW |
| authorships[2].institutions[0].display_name | Tamkang University |
| authorships[2].author_position | last |
| authorships[2].raw_author_name | Yu-Cheng Chen |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | Department of Computer Science and Information Engineering, Tamkang University, New Taipei City 25137, Taiwan |
| has_content.pdf | True |
| has_content.grobid_xml | True |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://www.mdpi.com/2227-7390/9/6/612/pdf?version=1616050279 |
| open_access.oa_status | gold |
| open_access.any_repository_has_fulltext | False |
| created_date | 2021-03-29T00:00:00 |
| display_name | XOR-Based Progressively Secret Image Sharing |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10388 |
| primary_topic.field.id | https://openalex.org/fields/17 |
| primary_topic.field.display_name | Computer Science |
| primary_topic.score | 1.0 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/1707 |
| primary_topic.subfield.display_name | Computer Vision and Pattern Recognition |
| primary_topic.display_name | Advanced Steganography and Watermarking Techniques |
| related_works | https://openalex.org/W2017188409, https://openalex.org/W2032053269, https://openalex.org/W2350486768, https://openalex.org/W2011252681, https://openalex.org/W1998770403, https://openalex.org/W2985786707, https://openalex.org/W2074514948, https://openalex.org/W2026753506, https://openalex.org/W2573229646, https://openalex.org/W3138619437 |
| cited_by_count | 5 |
| counts_by_year[0].year | 2024 |
| counts_by_year[0].cited_by_count | 1 |
| counts_by_year[1].year | 2023 |
| counts_by_year[1].cited_by_count | 2 |
| counts_by_year[2].year | 2022 |
| counts_by_year[2].cited_by_count | 2 |
| locations_count | 5 |
| best_oa_location.id | doi:10.3390/math9060612 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4210192031 |
| best_oa_location.source.issn | 2227-7390 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | 2227-7390 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | True |
| best_oa_location.source.display_name | Mathematics |
| best_oa_location.source.host_organization | https://openalex.org/P4310310987 |
| best_oa_location.source.host_organization_name | Multidisciplinary Digital Publishing Institute |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310310987 |
| best_oa_location.source.host_organization_lineage_names | Multidisciplinary Digital Publishing Institute |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | https://www.mdpi.com/2227-7390/9/6/612/pdf?version=1616050279 |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Mathematics |
| best_oa_location.landing_page_url | https://doi.org/10.3390/math9060612 |
| primary_location.id | doi:10.3390/math9060612 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4210192031 |
| primary_location.source.issn | 2227-7390 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | 2227-7390 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | True |
| primary_location.source.display_name | Mathematics |
| primary_location.source.host_organization | https://openalex.org/P4310310987 |
| primary_location.source.host_organization_name | Multidisciplinary Digital Publishing Institute |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310310987 |
| primary_location.source.host_organization_lineage_names | Multidisciplinary Digital Publishing Institute |
| primary_location.license | cc-by |
| primary_location.pdf_url | https://www.mdpi.com/2227-7390/9/6/612/pdf?version=1616050279 |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Mathematics |
| primary_location.landing_page_url | https://doi.org/10.3390/math9060612 |
| publication_date | 2021-03-12 |
| publication_year | 2021 |
| referenced_works | https://openalex.org/W2901107749, https://openalex.org/W2040446335, https://openalex.org/W2141420453, https://openalex.org/W2970097841, https://openalex.org/W2027198698, https://openalex.org/W1988721368, https://openalex.org/W2085274816, https://openalex.org/W6761754431, https://openalex.org/W1986026811, https://openalex.org/W2094880923, https://openalex.org/W2046125044, https://openalex.org/W2018919412, https://openalex.org/W2062409705, https://openalex.org/W6638224479, https://openalex.org/W2073783310, https://openalex.org/W2011252681, https://openalex.org/W2090150892, https://openalex.org/W2897376279, https://openalex.org/W3021883360, https://openalex.org/W3003677557, https://openalex.org/W2128793054, https://openalex.org/W3088606209, https://openalex.org/W3006143766, https://openalex.org/W2940063087, https://openalex.org/W2025695737, https://openalex.org/W2027570214, https://openalex.org/W2069897504, https://openalex.org/W6675284134, https://openalex.org/W2005893009, https://openalex.org/W2768058134, https://openalex.org/W2950150630, https://openalex.org/W2100321213, https://openalex.org/W2940295780, https://openalex.org/W1792011394 |
| referenced_works_count | 34 |
| abstract_inverted_index.a | 5 |
| abstract_inverted_index.m | 55, 59, 63, 78 |
| abstract_inverted_index.t | 68 |
| abstract_inverted_index.In | 39 |
| abstract_inverted_index.an | 44 |
| abstract_inverted_index.be | 20 |
| abstract_inverted_index.by | 22, 107 |
| abstract_inverted_index.in | 88 |
| abstract_inverted_index.is | 4, 36 |
| abstract_inverted_index.n) | 14 |
| abstract_inverted_index.of | 103 |
| abstract_inverted_index.on | 93 |
| abstract_inverted_index.t, | 47 |
| abstract_inverted_index.to | 29, 81 |
| abstract_inverted_index.we | 42 |
| abstract_inverted_index.(m, | 46 |
| abstract_inverted_index.(n, | 13 |
| abstract_inverted_index.The | 12, 70, 123 |
| abstract_inverted_index.Ti) | 48 |
| abstract_inverted_index.all | 114, 120 |
| abstract_inverted_index.and | 61, 138 |
| abstract_inverted_index.can | 19, 117 |
| abstract_inverted_index.for | 7, 85 |
| abstract_inverted_index.has | 135 |
| abstract_inverted_index.how | 28 |
| abstract_inverted_index.not | 37 |
| abstract_inverted_index.the | 89, 97, 104, 128 |
| abstract_inverted_index.high | 136 |
| abstract_inverted_index.show | 126 |
| abstract_inverted_index.that | 53, 127 |
| abstract_inverted_index.this | 40 |
| abstract_inverted_index.with | 33, 67 |
| abstract_inverted_index.Based | 92 |
| abstract_inverted_index.among | 58 |
| abstract_inverted_index.image | 1, 16, 50, 132 |
| abstract_inverted_index.parts | 102 |
| abstract_inverted_index.steps | 35 |
| abstract_inverted_index.(SIPS) | 76 |
| abstract_inverted_index.Secret | 0 |
| abstract_inverted_index.images | 32, 57, 65, 73, 80, 84, 106, 116 |
| abstract_inverted_index.method | 100, 134 |
| abstract_inverted_index.scheme | 52 |
| abstract_inverted_index.secret | 10, 15, 31, 56, 72, 79, 105, 121 |
| abstract_inverted_index.shared | 64, 110, 115 |
| abstract_inverted_index.shares | 54 |
| abstract_inverted_index.solved | 21 |
| abstract_inverted_index.study, | 41 |
| abstract_inverted_index.Boolean | 24 |
| abstract_inverted_index.easily. | 26 |
| abstract_inverted_index.images. | 11, 111, 122 |
| abstract_inverted_index.jointly | 8 |
| abstract_inverted_index.problem | 18 |
| abstract_inverted_index.recover | 30, 119 |
| abstract_inverted_index.results | 125 |
| abstract_inverted_index.sharing | 2, 17, 51, 90, 133 |
| abstract_inverted_index.However, | 27 |
| abstract_inverted_index.generate | 82 |
| abstract_inverted_index.proposed | 43, 71, 98, 129 |
| abstract_inverted_index.recovers | 62, 101 |
| abstract_inverted_index.recovery | 95, 99 |
| abstract_inverted_index.security | 137 |
| abstract_inverted_index.strategy | 6, 75 |
| abstract_inverted_index.Moreover, | 112 |
| abstract_inverted_index.XOR-based | 45, 130 |
| abstract_inverted_index.different | 86 |
| abstract_inverted_index.gathering | 108, 113 |
| abstract_inverted_index.partition | 74 |
| abstract_inverted_index.perfectly | 118 |
| abstract_inverted_index.property, | 96 |
| abstract_inverted_index.addressed. | 38 |
| abstract_inverted_index.partitions | 77 |
| abstract_inverted_index.procedure. | 91 |
| abstract_inverted_index.protecting | 9 |
| abstract_inverted_index.technology | 3 |
| abstract_inverted_index.thresholds | 87 |
| abstract_inverted_index.calculation | 25 |
| abstract_inverted_index.consecutive | 109 |
| abstract_inverted_index.efficiency. | 139 |
| abstract_inverted_index.progressive | 34, 94 |
| abstract_inverted_index.thresholds. | 69 |
| abstract_inverted_index.conventional | 23 |
| abstract_inverted_index.experimental | 124 |
| abstract_inverted_index.intermediate | 83 |
| abstract_inverted_index.multi-secret | 49, 131 |
| abstract_inverted_index.participants | 60 |
| abstract_inverted_index.progressively | 66 |
| cited_by_percentile_year.max | 96 |
| cited_by_percentile_year.min | 90 |
| corresponding_author_ids | https://openalex.org/A5038569083 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| corresponding_institution_ids | https://openalex.org/I107470533 |
| citation_normalized_percentile.value | 0.64695352 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |