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Weight hierarchies of extremal non-chain binary codes of dimension 4

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2 Author(s)
Wende Chen ; Inst. of Syst. Sci., Acad. Sinica, Beijing, China ; Klove, T.

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

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 1 )