Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771588 | Finite Fields and Their Applications | 2017 | 24 Pages |
Abstract
We completely determine the minimum Lee weights of cyclic self-dual codes over a Galois ring GR(p2,m) of length pk, where m and k are positive integers and p is a prime number. We obtain all cyclic self-dual codes over GR(22,1)â
Z4 of lengths 16 and 32 with their Lee weight enumerators. We also find cyclic self-dual codes over GR(32,1)â
Z9 (respectively, GR(32,2)) of lengths up to 27 (respectively, 9). Most of the cyclic self-dual codes we found are extremal with respect to the Lee weights.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Boran Kim, Yoonjin Lee,