The weight distribution of the coset leaders for some classes of codes with related parity-check matrices

DOI10.1016/0012-365X(79)90093-1zbMath0415.94006MaRDI QIDQ754156

Tor Helleseth

Publication date: 1979

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

covering radiusweight distributiondecodingcyclic codesparity check matrixcoset leader

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15) Decoding (94B35)

Related Items

The extended coset leader weight enumerator of a twisted cubic code ⋮ On the weight distribution of the cosets of MDS codes

Cites Work

• The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
• The weight enumerator polynomials of some classes of codes with composite parity-check polynomials
• Two-error correcting Bose-Chaudhuri codes are quasi-perfect
• Some 3-error-correcting BCH codes have covering radius 5 (Corresp.)
• Complete decoding of triple-error-correcting binary BCH codes
• Weight Enumeration and the Geometry of Linear Codes
• All binary 3-error-correcting BCH codes of length<tex>2^m-i</tex>have covering radius 5 (Corresp.)
• Four fundamental parameters of a code and their combinatorial significance