Higher weights for codes over rings

DOI10.1007/s00200-011-0140-xzbMath1254.94049OpenAlexW1964799752MaRDI QIDQ429748

Steven T. Dougherty, Sunghyu Han, Hong-wei Liu

Publication date: 20 June 2012

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-011-0140-x

zbMATH Keywords

higher weightsfinite chain ringsfinite principal ideal rings

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items

Higher weights and near-MDR codes over chain rings ⋮ On abelian codes over \(\mathbb {Z}_m\) ⋮ Relative generalized Hamming weights over Frobenius rings ⋮ On counting subring-submodules of free modules over finite commutative Frobenius rings ⋮ GHW for \((x, x+y)\)-construction of codes ⋮ On some new m-spotty Lee weight enumerators ⋮ Counting codes over rings ⋮ THE WEIGHT HIERARCHY OF HADAMARD CODES ⋮ Further results on higher weights of codes over finite rings

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• MDS codes over finite principal ideal rings
• Independence of vectors in codes over rings
• Modular and \(p\)-adic cyclic codes
• Lifted codes and their weight enumerators
• HIGHER WEIGHTS AND GENERALIZED MDS CODES
• Generalized Hamming weights for linear codes
• Duality for modules over finite rings and applications to coding theory
• Fundamentals of Error-Correcting Codes
• MDR codes over Z/sub k/
• On the Hamming distance of linear codes over a finite chain ring
• Geometric approach to higher weights
• Note on the \(g\)-fold joint weight enumerators of self-dual codes over \({\mathbb Z}_k\)

This page was built for publication: Higher weights for codes over rings