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Some special cyclic codes of length 2n

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Publication:2958466
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DOI10.1142/S0219498817500025zbMath1405.94125MaRDI QIDQ2958466

Sudhir Batra, Manjit Singh

Publication date: 2 February 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)


zbMATH Keywords

self-dual codescyclic codesdual codesgenerator polynomialsself-orthogonal codesreversible codes


Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Cyclic codes (94B15)


Related Items (3)

Some subgroups of $mathbb{F}_q^*$ and explicit factors of $x^{2^nd}-1inmathbb{F}_q[x$] ⋮ Unnamed Item ⋮ A class of constacyclic codes containing formally self-dual and isodual codes



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Cyclic codes of length \(2^m\)
  • Factorization of the cyclotomic polynomial \(x^{2^n}+1\) over finite fields
  • On the construction of irreducible self-reciprocal polynomials over finite fields
  • Explicit factorization of \(x^{2^ k}+1\) over \(F_ p\) with prime \(p\equiv 3\bmod 4\)
  • Minimal quadratic residue cyclic codes of length \(2^n\)
  • Explicit factorization of \(X^{2^m}p^n-1\) over a finite field
  • Fundamentals of Error-Correcting Codes
  • Reversible codes


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