Title :
The weight hierarchies of q-ary codes of dimension 4
Author :
Chen, Wende ; Kløve, Torleiv
Author_Institution :
Inst. of Syst. Sci., Acad. Sinica, Beijing, China
fDate :
11/1/1996 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 dτ is the smallest support of an τ-dimensional subcode of C. The possible weight hierarchies of [n,4;q] codes are studied. In particular, the possible weight hierarchies of [n,4;3] codes are determined
Keywords :
Galois fields; linear codes; GF(q); linear codes; q-ary codes; ternary codes; weight hierarchy; Binary codes; Councils; Galois fields; Hamming weight; Informatics; Information security; Laboratories; Linear code; Product codes; Terminology;
Journal_Title :
Information Theory, IEEE Transactions on