36 citations · 78 across the 16 of their papers we have counts for
3 papers · 1 filter
Invertible matrices over finite additively idempotent semirings
Andreas Kendziorra, Stefan E. Schmidt, Jens Zumbrägel
We investigate invertible matrices over finite additively idempotent semirings. The main result provides a criterion for the invertibility of such matrices. We also give a construc…
Characteristics of Invariant Weights Related to Code Equivalence over Rings
Marcus Greferath, Cathy Mc Fadden, Jens Zumbrägel
The Equivalence Theorem states that, for a given weight on the alphabet, every linear isometry between linear codes extends to a monomial transformation of the entire space. This t…
Algebraic Decoding of Negacyclic Codes Over Z_4
Eimear Byrne, Marcus Greferath, Jaume Pernas +1
In this article we investigate Berlekamp's negacyclic codes and discover that these codes, when considered over the integers modulo 4, do not suffer any of the restrictions on the…