The weight distributions of cyclic codes with two zeros and zeta functions

DOI10.1016/j.jsc.2010.03.007zbMath1191.94119OpenAlexW2040588796MaRDI QIDQ975819

Nigel Boston, Gary McGuire

Publication date: 11 June 2010

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.03.007

zbMATH Keywords

zeta functionweight distributioncyclic code

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items

Several new classes of (balanced) Boolean functions with few Walsh transform values ⋮ Recent progress on weight distributions of cyclic codes over finite fields ⋮ A survey on the applications of Niho exponents ⋮ The weight distribution of a class of cyclic codes containing a subclass with optimal parameters ⋮ The weight distributions of constacyclic codes ⋮ Complete weight enumerators of a class of three-weight linear codes ⋮ The weight distributions of a class of non-primitive cyclic codes with two nonzeros ⋮ Weight distributions of cyclic codes with respect to pairwise coprime order elements ⋮ Three-weight cyclic codes and their weight distributions ⋮ The weight enumerator of the duals of a class of cyclic codes with three zeros ⋮ The weight distributions of a class of cyclic codes. II ⋮ The weight distributions of a class of cyclic codes ⋮ Weight distributions of a class of cyclic codes from \(\mathbb F_l\)-conjugates ⋮ The weight distributions of a class of cyclic codes with three nonzeros over \(\mathbb{F}_3\)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• The Magma algebra system. I: The user language
• Double-error-correcting cyclic codes and absolutely irreducible polynomials over \(\text{GF}(2)\)
• Binary cyclic codes generated by mira7 (Corresp.)
• On the minimum distance of cyclic codes
• A Family of $m$-Sequences With Five-Valued Cross Correlation
• The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes