Name
Abstract | ||
|---|---|---|
In this correspondence, we prove that the class of binary self-dual doubly even 2-quasi-cyclic transitive codes is asymptotically good. This improves a recent result of Bazzi and Mitter (IEEE Trans. Inf. Theory, vol. 52, pp. 3210-3219, 2006). The proof is based on the study of a particular class of codes invariant under dihedral groups using a blend of representation theory and probabilistic arguments. The methods are closely related to those used in Bazzi and Mitter. In order to complete the proof a number theoretical result of Hasse is needed. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/TIT.2007.907500 | IEEE Transactions on Information Theory |
Keywords | DocType | Volume |
correspondence principle,dual codes,2-quasi-cyclic transitive codes,binary self-dual doubly,representation theory,$2$-quasi-cyclic codes,Asymptotically good codes,doubly even codes,self-dual codes,transitive codes | Journal | 53 |
Issue | ISSN | Citations |
11 | 0018-9448 | 11 |
PageRank | References | Authors |
0.82 | 10 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| C. Martinez-Perez | 1 | 11 | 0.82 |
| W. Willems | 2 | 44 | 5.12 |