Affordable Access

Double circulant self-dual and LCD codes over Galois rings.

Authors
  • Shi, Minjia
  • Huang, Daitao
  • Sok, Lin
  • Sole, Patrick
Publication Date
Jan 01, 2019
Source
Kaleidoscope Open Archive
Keywords
Language
English
License
Unknown
External links

Abstract

This paper investigates the existence, enumeration and asymptotic performance of self-dual and LCD double circulant codes over Galois rings of characteristic p 2 and order p 4 with p and odd prime. When p ≡ 3 (mod 4), we give an algorithm to construct a duality preserving bijective Gray map from such a Galois ring to Z 2 p 2. Using random coding, we obtain families of asymptotically good self-dual and LCD codes over Z p 2 , for the metric induced by the standard F p-valued Gray maps.

Report this publication

Statistics

Seen <100 times