Title of article :
The extremal codes of lengths 76 with an automorphism of order 19
Author/Authors :
Radinka Dontcheva، نويسنده , , Vassil Yorgov، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
We find all extremal [76,38,14] binary self-dual codes having automorphism of order 19. There are three inequivalent such codes. One of them was previously known. The other two are new. These codes are the shortest known self-dual codes of minimal weight 14 as well as the best-known linear codes of that length and dimension.
Keywords :
Extremal self-dual codes , Automorphisms , Optimal codes
Journal title :
Finite Fields and Their Applications
Journal title :
Finite Fields and Their Applications