High order elements in finite fields arising from recursive towers
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Publication:2672294
DOI10.1007/s10623-022-01041-3OpenAlexW3089184454WikidataQ114226823 ScholiaQ114226823MaRDI QIDQ2672294
Pietro Mercuri, Claudio Stirpe, Valerio Dose, Ankan Pal
Publication date: 8 June 2022
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.10572
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Arithmetic theory of polynomial rings over finite fields (11T55)
Uses Software
Cites Work
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- Order of Gauss periods in large characteristic
- Elements of high order in finite fields of the form
- Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\)
- Some primitive elements for the Artin-Schreier extensions of finite fields
- Finite field elements of high order arising from modular curves
- The explicit construction of irreducible polynomials over finite fields
- Completely normal elements in iterated quadratic extensions of finite fields
- Explicit N-polynomials of \(2\)-power degree over finite fields. I
- Elements of high order in finite fields of the form \(\mathbb F_q[x/(x^m-a)\)]
- Sharpening of the explicit lower bounds for the order of elements in finite field extensions based on cyclotomic polynomials
- ELEMENTS OF LARGE ORDER IN PRIME FINITE FIELDS
- Finding primitive elements in finite fields of small characteristic
- On the multiplicative order of elements in Wiedemann's towers of finite fields
- Algebraic Function Fields and Codes
- ELEMENTS OF HIGH ORDER ON FINITE FIELDS FROM ELLIPTIC CURVES
- MULTIPLICATIVE ORDER OF GAUSS PERIODS
- Elements of provable high orders in finite fields
- Multiplicative orders of elements in Conway towers of finite fields
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