Generic polynomials for cyclic function field extensions over certain\n finite fields

2017/06/08 by Sophie Marques, Marques, Sophie
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1706.02638

openalex publication_date 2017/06/08 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In this paper, we find all the generic polynomials for geometric\n\ℓ-cyclic function field extensions over the finite fields mathbbF_q\nwhere q= pⁿ, p prime integer such that q \≡ -1 mod \ℓ and (\ℓ\n, p)=1.\n

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