Polynomial splitting and root representation of linear recurring sequences over \(\mathbb{Z} /(p^e)\)

zbMath0977.11506MaRDI QIDQ1337394

Jinjun Zhou, Wen-Feng Qi

Publication date: 27 November 2001

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

finite fieldfactorization of polynomialspolynomial rootslinear recurring sequencesplitting ring

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Recurrences (11B37) Polynomials over finite fields (11T06)

Related Items (3)

On the distinctness of primitive sequences over \({\mathbb Z}/(p^{e}q)\) modulo 2 ⋮ Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II ⋮ The nonlinear complexity of level sequences over \(\mathbb Z/(4)\)

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