Title :
Weight hierarchies of extremal non-chain binary codes of dimension 4
Author :
Chen, Wende ; Klove, Torleiv
Author_Institution :
Inst. of Syst. Sci., Acad. Sinica, Beijing, China
fDate :
1/1/1999 12:00:00 AM
Abstract :
The weight hierarchy of a linear [n,k;q] code C over GF(q) is the sequence (d1,d2,···,dk ) where dr is the smallest support of an r-dimensional subcode of C. An [n,k;q] code is extremal nonchain if, for any r and s, where 1⩽r<s⩽k, there are no subspaces D and E such that D⊂E, dim D=r, dim E=s,wS(D)=dr, and wS (E)=ds. The possible weight hierarchies of such binary codes of dimension 4 are determined
Keywords :
binary codes; linear codes; sequences; dimension 4; extremal nonchain binary codes; linear code; r-dimensional subcode; sequence; subspaces; weight hierarchies; Binary codes; Control systems; Councils; Galois fields; Informatics; Information security; Laboratories; Linear code; Product codes;
Journal_Title :
Information Theory, IEEE Transactions on
