Journal article
On the subfield subcodes of Hermitian codes
In
Designs, Codes and Cryptography
—
2014, Volume 70, Issue 1-2, pp. 157-173
Abstract
We present a fast algorithm using Gröbner basis to compute the dimensions of subfield subcodes of Hermitian codes. With these algorithms we are able to compute the exact values of the dimension of all subfield subcodes up to q ≤ 32 and length up to 215. We show that some of the subfield subcodes of Hermitian codes are at least as good as the previously known codes, and we show the existence of good long codes.
| Language: | English |
|---|---|
| Publisher: | Springer US |
| Year: | 2014 |
| Pages: | 157-173 |
| Journal subtitle: | An International Journal |
| ISSN: | 15737586 and 09251022 |
| Types: | Journal article |
| DOI: | 10.1007/s10623-012-9736-9 |
