Title :
Weight hierarchies of extremal non-chain ternary codes of dimension 4
Author :
Chen, Wende ; Kløve, Torleiv
Author_Institution :
Inst. of Syst. Sci., Acad. Sinica, Beijing, China
Abstract :
The weight hierarchy of a linear [n,k;q] code C over GF(q) is the sequence (d1,d2,…,dk) where d r is the smallest support of an r-dimensional subcode of C. An [n,k;q] code is extremal non-chain 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)=d s. The possible weight hierarchies of such ternary codes of dimension 4 are determined
Keywords :
Galois fields; linear codes; sequences; ternary codes; Galois field; code dimension; extremal nonchain ternary codes; linear code; sequence; subcode; weight hierarchies; Councils; Hamming weight; Informatics; Information security; Laboratories;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.935972