- NONEXISTENCE OF SOME EXTREMAL SELF-DUAL CODES
- Han, Sun-Ghyu ; Lee, June-Bok ;
- Journal of the Korean Mathematical Society, volume 43, issue 6, 2006, Pages 1357~1369
- DOI : 10.4134/JKMS.2006.43.6.1357

Abstract

It is known that if C is an [24m + 2l, 12m + l, d] selfdual binary linear code with $0{\leq}l<11,\;then\;d{\leq}4m+4$. We present a sufficient condition for the nonexistence of extremal selfdual binary linear codes with d=4m+4,l=1,2,3,5. From the sufficient condition, we calculate m's which correspond to the nonexistence of some extremal self-dual binary linear codes. In particular, we prove that there are infinitely many such m's. We also give similar results for additive self-dual codes over GF(4) of length n=6m+1.☊ᔀЀ㘴〻᠀䡯浥慭楬礠浡湡来浥湴