The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designs |
| |
| Authors: | W Cary Huffman Vladimir D Tonchev |
| |
| Institution: | (1) Department of Mathematical Sciences, Loyola University, 60626 Chicago, Illinois;(2) Department of Mathematical Sciences, Michigan Technological University, 49931 Houghton, Michigan |
| |
| Abstract: | All extremal binary self-dual 50,25,10] codes with an automorphism of order 7 are enumerated. Up to equivalence, there are four such codes, three with full automorphism group of order 21, and one code with full group of order 7. The minimum weight codewords yield quasi-symmetric 2-(49,9,6) designs.Research supported in part by NSA grant MDA904-95-H-1019. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
