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Bull. Korean Math. Soc. 2018; 55(5): 1371-1387
Online first article May 2, 2018 Printed September 30, 2018
https://doi.org/10.4134/BKMS.b170791
Copyright © The Korean Mathematical Society.
The classification of self-dual codes over Galois rings of length 4
Whan-Hyuk Choi
Kangwon National University
The classification of the self-dual codes over Galois rings $GR(p,2)$ and $GR(p^2,2)$ of length 4 is completed for all primes $p$ up to equivalence in terms of automorphism group. We obtain all inequivalent classes and the number of each classes of self-dual codes for all primes.
Keywords: self-dual codes, classification, Galois ring, mass formula
MSC numbers: 94B05
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