Some ternary and quaternary codes and associated sphere packings

DOI10.1109/18.119683zbMath0744.94024OpenAlexW1993251121WikidataQ59768167 ScholiaQ59768167MaRDI QIDQ3990760

Subbarayan Pasupathy, Frank R. Kschischang

Publication date: 28 June 1992

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

Full work available at URL: https://semanticscholar.org/paper/6edf3aa4ea34bd4b7bc063009b3d494e1fdd6e88

zbMATH Keywords

Reed-Muller codesconstacyclic codescoded modulationcoset codesdense sphere packingscode construction techniqueternary and quaternary codes

Mathematics Subject Classification ID

Other types of codes (94B60) Cyclic codes (94B15) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

Related Items (14)

Quasi-cyclic constructions of asymmetric quantum error-correcting codes ⋮ Matrix-product structure of repeated-root cyclic codes over finite fields ⋮ New bounds for the minimum length of quaternary linear codes of dimension five ⋮ Unnamed Item ⋮ On a generalization of Craig lattices ⋮ Construction of optimal ternary constant weight codes via Bhaskar Rao designs ⋮ On construction of some new symmetric and asymmetric orthogonal arrays ⋮ Maximal entanglement entanglement-assisted quantum codes constructed from linear codes ⋮ Linear constructions for DNA codes ⋮ Twisted tensor product codes ⋮ On matrix-product structure of repeated-root constacyclic codes over finite fields ⋮ Dense sphere packings from new codes ⋮ Density doubling, double-circulants, and new sphere packings ⋮ Some codes related to BCH-codes of low dimension

This page was built for publication: Some ternary and quaternary codes and associated sphere packings