Title :
Type IV self-dual codes over rings
Author :
Dougherty, Steven T. ; Gaborit, Philippe ; Harada, Masaaki ; Munemasa, Akihiro ; Solé, Patrick
Author_Institution :
Dept. of Math., Scranton Univ., PA, USA
fDate :
11/1/1999 12:00:00 AM
Abstract :
We study Type IV self-dual codes over the commutative rings of order 4. Gleason-type theorems of Type IV codes and their shadow codes are investigated. A mass formula of Type IV codes over these rings are given. We give a classification of Type TV codes over Z4 and F2+uF2 for reasonable lengths. We also construct a number of optimal Type TV codes
Keywords :
dual codes; optimisation; residue codes; Chinese remainder theorem; Gleason-type theorems; Hamming weight enumerators; Type IV self-dual codes; code lengths; codes over rings; commutative rings; invariant theory; mass formula; optimal Type TV codes; residue code; shadow codes; symmetrized weight enumerators; Binary codes; Galois fields; Hamming weight; Lattices; Mathematics; Modules (abstract algebra);
Journal_Title :
Information Theory, IEEE Transactions on
