New Nonbinary Self-Dual Codes
Thomas Aaron Gulliver, Masaaki Harada · IEEE Transactions on Information Theory · 2008
In this correspondence, we construct new self-dual codes over ${\BBF}_4, {\BBF}_5, {\BBF}_7$ with larger minimum weights than the previously known self-dual codes, using construction methods based on circulant and negacirculant matrices. In particular, a self-dual $[36,18,13]$ code over ${\BBF}_7$ is constructed which has a larger minimum weight than the previously known $[36,18]$ codes.