14 citations · 42 across the 14 of their papers we have counts for
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Dual of Codes over Finite Quotients of Polynomial Rings
Ashkan Nikseresht
Let , where is a monic polynomial over a finite field . In this paper, we study the relation between -codes and…
Finite Commutative Rings with a MacWilliams Type Relation for the m-Spotty Hamming Weight Enumerators
Ashkan Nikseresht
Let be a finite commutative ring. We prove that a MacWilliams type relation between the m-spotty weight enumerators of a linear code over and its dual hold, if and only if,…
Tame graphs, clutters and their Rees algebras
Abbas Nasrollah Nejad, Ashkan Nikseresht, Ali Akbar Yazdan Pour +1
A tame ideal is an ideal such that the blowup of the affine space along is regular. In this paper, we give a combinatorial characterization of tame squaref…
On Generalizations of Cycles and Chordality to Hypergraphs from an Algebraic Viewpoint
Ashkan Nikseresht, Rashid Zaare-Nahandi
In this paper, we study the notion of chordality and cycles in hypergraphs from a commutative algebraic point of view. The corresponding concept of chordality in commutative algebr…