SRIM and SCRIM factors of xn + 1 over finite fields and their applications

DOI10.1142/S1793830920500986zbMath1464.11136arXiv1909.03826OpenAlexW3080385177MaRDI QIDQ5859513

Somphong Jitman, Arunwan Boripan

Publication date: 16 April 2021

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03826

zbMATH Keywords

negacyclic codesreciprocal polynomialscomplementary dual codesSCRIM polynomialsSRIM polynomials

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Cyclic codes (94B15)

Related Items (1)

Revisiting the factorization of \(x^n+1\) over finite fields with applications

Cites Work

• Enumeration formulas for self-dual cyclic codes
• Self-reciprocal irreducible polynomials over finite fields
• The condition for a cyclic code to have a complementary dual
• On LCD negacyclic codes over finite fields
• Self-conjugate-reciprocal irreducible monic factors of \(x^{n}-1\) over finite fields and their applications
• Good integers and some applications in coding theory
• Some generalizations of good integers and their applications in the study of self-dual negacyclic codes
• Hulls of cyclic and negacyclic codes over finite fields
• Self-reciprocal and self-conjugate-reciprocal irreducible factors of \(x^n - \lambda\) and their applications
• Hermitian Self-Dual Abelian Codes
• On some properties of self-reciprocal polynomials (Corresp.)
• On the divisors of $a^k + b^k$
• Enumeration of self-dual cyclic codes of some specific lengths over finite fields
• Factorizations of Binomial Polynomials and Enumerations of LCD and Self-Dual Constacyclic Codes
• On Self-Dual Cyclic Codes Over Finite Fields
• Quasi-self-reciprocal polynomials and potentially large minimum distance BCH codes

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