Self-Dual Doubly Even $2$-Quasi-Cyclic Transitive Codes Are Asymptotically Good

DOI10.1109/TIT.2007.907500zbMath1326.94137OpenAlexW2155842274MaRDI QIDQ3549027

Conchita Martínez-Pérez, Wolfgang Willems

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2007.907500

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (15)

Quasi-Cyclic Subcodes of Cyclic Codes ⋮ Several classes of asymptotically good quasi-twisted codes with a low index ⋮ Concatenated structure of left dihedral codes ⋮ Asymptotically good quasi-cyclic codes of fractional index ⋮ Hermitian self-dual 2-quasi-abelian codes ⋮ Codes over finite quotients of polynomial rings ⋮ Left dihedral codes over Galois rings \(\mathrm{GR}(p^2, m)\) ⋮ On self-dual double circulant codes ⋮ Quasi-abelian codes ⋮ A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four ⋮ Asymptotically good \(\mathbb{Z}_{p^r} \mathbb{Z}_{p^s} \)-additive cyclic codes ⋮ \(\mathbb{Z}_p \mathbb{Z}_p[v\)-additive cyclic codes are asymptotically good] ⋮ Self-orthogonal quasi-abelian codes are asymptotically good ⋮ Hermitian duality of left dihedral codes over finite fields ⋮ Self-dual 2-quasi-cyclic codes and dihedral codes

This page was built for publication: Self-Dual Doubly Even $2$-Quasi-Cyclic Transitive Codes Are Asymptotically Good