A note on cyclotomic polynomials and Linear Feedback Shift Registers

DOI10.2989/16073606.2021.1967504OpenAlexW3196886272MaRDI QIDQ5056514

Laura Capuano, Antonio Jose Di Scala

Publication date: 8 December 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16076

zbMATH Keywords

cyclotomic polynomialslinear feedback shift registers

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cyclotomic extensions (11R18) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

• Explicit factorizations of cyclotomic polynomials over finite fields
• Euler's totient function and its inverse
• Explicit factorization of \(x^{2^ k}+1\) over \(F_ p\) with prime \(p\equiv 3\bmod 4\)
• Handbook of Finite Fields
• Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields
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