Wei's Duality Theorem is extended, relating the generalized Hamming weight hierarchy of a code to the hierarchy of the dual code, to the scope of codes with poset metrics, and some results concerning discrepancy of codes and chain condition for generalized weights are proved.Expand

Let [Formula: see text] be a finite additive abelian group with exponent [Formula: see text] and [Formula: see text] be a sequence of elements in [Formula: see text]. For any element [Formula: see… Expand

We present an algebraic structure in modules over integer rings with cardinality prime powers, which allows to define bases. With such structure, we prove a similar version for the basis extension… Expand

Suppose G is a finite abelian group and S = g1 ···gl is a sequence of elements in G. For any element g of G and A ⊆ Z\{0}, let NA,g(S) denote the number of subsequences T = Q i∈I gi of S such that P… Expand