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Computing
Selecting polynomials for the Function Field Sieve
2015
The Function Field Sieve algorithm is dedicated to computing discrete\nlogarithms in a finite field GF(q^n), where q is small an prime power. The\nscope of this article is to select good polynomials for this algorithm by\ndefining and measuring the size prope…
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Computing

Activity involving calculations or computing machinery

Computing is any goal-oriented activity requiring, benefiting from, or creating computing machinery. It includes the study and experimentation of algorithmic processes, and development of both hardware and software. Computing has scientific, engineering, mathematical, technological and social aspects. Major computing disciplines include computer engineering, computer science, cybersecurity, data science, information systems, information technology and software engineering.

The term computing is also synonymous with counting and calculating. In earlier times, it was used in reference to the action performed by mechanical computing machines, and before that, to human computers.

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Selecting polynomials for the Function Field Sieve
2015
The Function Field Sieve algorithm is dedicated to computing discrete\nlogarithms in a finite field GF(q^n), where q is small an prime power. The\nscope of this article is to select good polynomials for this algorithm by\ndefining and measuring the size property and the so-called root and\ncancellation properties. In particular we present an algorithm for rapidly\ntesting a large set of polynomials. Our study also explains the behaviour of\ninseparable polynomials, in particular we give an easy way to see that the…
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