Title :
On the non Z4-linearity of certain good binary codes
Author :
Fields, Joe ; Gaborit, Philippe
Author_Institution :
Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA
fDate :
7/1/1999 12:00:00 AM
Abstract :
In this correspondence we prove that any extremal doubly-even self-dual linear binary code of length 48 is not Z4-linear. We also show that the putative extremal doubly-even self-dual linear binary codes of lengths 72 and 96 with minimum weight, respectively, 16 and 20, cannot be constructed as the Gray images of linear codes over Z4
Keywords :
binary codes; dual codes; linear codes; Gray images; extremal doubly-even self-dual linear binary code; non Z4-linearity; Binary codes; Computer science; Decoding; Error correction; Error correction codes; Hamming distance; Hamming weight; Linear code; Mathematics; Statistics;
Journal_Title :
Information Theory, IEEE Transactions on
