Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4975702 | Journal of the Franklin Institute | 2012 | 10 Pages |
Abstract
In this correspondence, a lift of the shortened binary [8,4,4] Hamming code to the ring R3 is described. Using this lift, a family of self-dual codes over R3 of length 7 are obtained. By taking the binary images of these codes and applying the extension method given in [15], 11 new extremal binary self-dual [58,29,10] codes with new weight enumerators are found which were not previously known to exist.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Suat Karadeniz, Abidin Kaya,