Title :
Some new extremal codes of lengths 76 and 78
Author :
Baartmans, Alphonse ; Yorgov, Vassil
Author_Institution :
Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI, USA
fDate :
5/1/2003 12:00:00 AM
Abstract :
We find new extremal [76,38,14] and [78,39,14] binary self-dual codes. The code of length 76 is the first known self-dual code with these parameters. It is shadow extremal and the shortest known self-dual code with minimal distance 14. It has an automorphism of order 19 without fixed coordinates. The code of length 78 has a new weight enumerator and an automorphism of order 19 with two fixed coordinates.
Keywords :
binary codes; dual codes; automorphism; binary self-dual codes; extremal codes; length 76 code; length 78 code; minimal distance; shadow extremal; weight enumerator; Binary codes; Geometry; Linear code; Notice of Violation; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.810653
