Standard generators of finite fields and their cyclic subgroups. (July 2023)

• Record Type: Journal Article
• Authors: Lübeck, Frank
• Is Part Of: Journal of symbolic computation. Volume 117(2023)
• Page Start: 51
• Page End: 67
• Publication Date: 2023-07
• Subjects: Finite fields -- Standard generators -- Primitive roots; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2022.11.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We define standard constructions of finite fields, and standard generators of (multiplicative) cyclic subgroups in these fields. The motivation is to provide a substitute for Conway polynomials which can be used by various software packages and in collections of mathematical data which involve finite fields.