5 citations · 7 across the 5 of their papers we have counts for
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On the structure of repeated-root polycyclic codes over local rings
Maryam Bajalan, Edgar Martinez-Moro, Reza Sobhani +2
This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempote…
A transform approach to polycyclic and serial codes over rings
Maryam Bajalan, Edgar Martínez-Moro, Steve Szabo
In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us…
Duality Preserving Gray Maps for Codes over Rings
Steve Szabo, Felix Ulmer
Given a finite ring which is a free left module over a subring of , two types of -bases, pseudo-self-dual bases (similar to trace orthogonal bases) and symmetric base…
Monomial-like codes
Edgar Martinez-Moro, Hakan Ozadam, Ferruh Ozbudak +1
As a generalization of cyclic codes of length p^s over F_{p^a}, we study n-dimensional cyclic codes of length p^{s_1} X ... X p^{s_n} over F_{p^a} generated by a single "monomial".…
On the Hamming weight of Repeated Root Cyclic and Negacyclic Codes over Galois Rings
Sergio Lopez-Permouth, Steve Szabo
Repeated root Cyclic and Negacyclic codes over Galois rings have been studied much less than their simple root counterparts. This situation is beginning to change. For example, rep…