The relative generalized Hamming weight of linear \(q\)-ary codes and their subcodes

DOI10.1007/s10623-008-9170-1zbMath1178.94229OpenAlexW2013051868MaRDI QIDQ1009041

Yuan Luo, Wende Chen, Zi-Hui Liu

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-008-9170-1

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (18)

Notes on the value function ⋮ Flags of almost affine codes and the two-party wire-TAP channel of type II ⋮ Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower ⋮ Code constructions and existence bounds for relative generalized Hamming weight ⋮ Relative generalized Hamming weights of \(q\)-ary Reed-Muller codes ⋮ Relative generalized Hamming weights of affine Cartesian codes ⋮ Further improvements on the Feng-Rao bound for dual codes ⋮ The relative generalized Hamming weight and the semilinear equivalence of codes ⋮ Relative generalized Hamming weights of cyclic codes ⋮ Relative generalized Hamming weights of evaluation codes ⋮ On the equivalence of linear codes ⋮ New code equivalence based on relative generalized Hamming weights ⋮ On the relative generalized Hamming weights of a 4-dimensional linear code and a subcode with dimension one ⋮ On the second relative greedy weight ⋮ On the relative profiles of a linear code and a subcode ⋮ A property of the relative subcodes ⋮ Further results on support weights of certain subcodes ⋮ Relative profiles and extended weight polynomials of almost affine codes

Cites Work

• Some New Characters on the Wire-Tap Channel of Type II
• Generalized Hamming weights for linear codes
• The weight hierarchies of q-ary codes of dimension 4

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