A critical review and some remarks about one- and two-weight irreducible cyclic codes
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Publication:2011477
DOI10.1016/J.FFA.2014.11.001zbMath1368.11134OpenAlexW2080417616MaRDI QIDQ2011477
Publication date: 3 August 2017
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2014.11.001
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite fields (field-theoretic aspects) (12E20) Arithmetic theory of polynomial rings over finite fields (11T55)
Related Items (15)
A characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite field ⋮ The weight distribution for any irreducible cyclic code of length \(p^m\) ⋮ An extended characterization of a class of optimal three-weight cyclic codes over any finite field ⋮ Unnamed Item ⋮ A Family of Six-Weight Reducible Cyclic Codes and their Weight Distribution ⋮ Weight enumerators of some irreducible cyclic codes of odd length ⋮ The weight distribution of families of reducible cyclic codes through the weight distribution of some irreducible cyclic codes ⋮ Strongly regular Cayley graphs from partitions of subdifference sets of the Singer difference sets ⋮ Weight enumerators of all cubic-primitive irreducible cyclic codes of odd prime power length ⋮ A correction on the determination of the weight enumerator polynomial of some irreducible cyclic codes ⋮ An improved method for determining the weight distribution of a family of \(q\)-ary cyclic codes ⋮ Evaluation of the Hamming weights of a class of linear codes based on Gauss sums ⋮ The Weight Distribution for an Extended Family of Reducible Cyclic Codes ⋮ A characterization of all semiprimitive irreducible cyclic codes in terms of their lengths ⋮ Strongly regular graphs from reducible cyclic codes
Cites Work
- Uniform cyclotomy
- All two-weight irreducible cyclic codes?
- On the weight hierarchy of the semiprimitive codes
- Hamming weights in irreducible cyclic codes
- Projective two-weight irreducible cyclic and constacyclic codes
- Are<tex>$2$</tex>-Weight Projective Cyclic Codes Irreducible?
- On subfield subcodes of modified Reed-Solomon codes (Corresp.)
- Fundamentals of Error-Correcting Codes
- The Weight Distribution of Some Irreducible Cyclic Codes
- A Family of Two-Weight Irreducible Cyclic Codes
- Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given
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