Zero correlation zone sequence set with inter-group orthogonal and inter-subgroup complementary properties Article Swipe
YOU?
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· 2015
· Open Access
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· DOI: https://doi.org/10.3934/amc.2015.9.9
In this paper, a novel method for constructing complementarysequence set with zero correlation zone (ZCZ) is presented byinterleaving and combining three orthogonal matrices. Theconstructed set can be divided into multiple sequence groups andeach sequence group can be further divided into multiple sequencesubgroups. In addition to ZCZ properties of sequences from the samesequence subgroup, sequences from different sequence groups areorthogonal to each other while sequences from different sequencesubgroups within the same sequence group possess idealcross-correlation properties, that is, the proposed ZCZ sequence sethas inter-group orthogonal (IGO) and inter-subgroup complementary(ISC) properties. Compared with previous methods, the newconstruction can provide flexible choice for ZCZ width and set size,and the resultant sequences which are called IGO-ISC sequences inthis paper can achieve the theoretical bound on the set size for theZCZ width and sequence length.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3934/amc.2015.9.9
- https://www.aimsciences.org/data/article/export-pdf?id=4c0b5ae4-ebc6-4f2b-a825-94b1093a2918
- OA Status
- diamond
- Cited By
- 5
- References
- 39
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2006981413
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2006981413Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.3934/amc.2015.9.9Digital Object Identifier
- Title
-
Zero correlation zone sequence set with inter-group orthogonal and inter-subgroup complementary propertiesWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2015Year of publication
- Publication date
-
2015-01-01Full publication date if available
- Authors
-
Zhenyu Zhang, Lijia Ge, Fanxin Zeng, Guixin XuanList of authors in order
- Landing page
-
https://doi.org/10.3934/amc.2015.9.9Publisher landing page
- PDF URL
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https://www.aimsciences.org/data/article/export-pdf?id=4c0b5ae4-ebc6-4f2b-a825-94b1093a2918Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
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https://www.aimsciences.org/data/article/export-pdf?id=4c0b5ae4-ebc6-4f2b-a825-94b1093a2918Direct OA link when available
- Concepts
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Mathematics, Sequence (biology), Combinatorics, Set (abstract data type), Group (periodic table), Difference set, Correlation, Zero (linguistics), Computer science, Geometry, Philosophy, Linguistics, Organic chemistry, Programming language, Genetics, Chemistry, Biology, Abelian groupTop concepts (fields/topics) attached by OpenAlex
- Cited by
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5Total citation count in OpenAlex
- Citations by year (recent)
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2018: 2, 2016: 3Per-year citation counts (last 5 years)
- References (count)
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39Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.ZCZ | 45, 79, 100 |
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| abstract_inverted_index.can | 25, 35, 95, 115 |
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| abstract_inverted_index.with | 10, 90 |
| abstract_inverted_index.zero | 11 |
| abstract_inverted_index.zone | 13 |
| abstract_inverted_index.(IGO) | 84 |
| abstract_inverted_index.(ZCZ) | 14 |
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| abstract_inverted_index.group | 34, 71 |
| abstract_inverted_index.novel | 4 |
| abstract_inverted_index.other | 61 |
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| abstract_inverted_index.choice | 98 |
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| abstract_inverted_index.paper, | 2 |
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| abstract_inverted_index.theZCZ | 125 |
| abstract_inverted_index.within | 67 |
| abstract_inverted_index.IGO-ISC | 111 |
| abstract_inverted_index.achieve | 116 |
| abstract_inverted_index.andeach | 32 |
| abstract_inverted_index.divided | 27, 38 |
| abstract_inverted_index.further | 37 |
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| abstract_inverted_index.possess | 72 |
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| abstract_inverted_index.Compared | 89 |
| abstract_inverted_index.addition | 43 |
| abstract_inverted_index.flexible | 97 |
| abstract_inverted_index.methods, | 92 |
| abstract_inverted_index.multiple | 29, 40 |
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| abstract_inverted_index.proposed | 78 |
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| abstract_inverted_index.areorthogonal | 58 |
| abstract_inverted_index.Theconstructed | 23 |
| abstract_inverted_index.byinterleaving | 17 |
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| abstract_inverted_index.newconstruction | 94 |
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| abstract_inverted_index.complementary(ISC) | 87 |
| abstract_inverted_index.sequencesubgroups. | 41 |
| abstract_inverted_index.complementarysequence | 8 |
| abstract_inverted_index.idealcross-correlation | 73 |
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| cited_by_percentile_year.min | 94 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
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| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |