3 papers
cs.IT2026
The first tight classification of skew-constacyclic codes over finite fields
Monica Nevins, Susanne Pumluen
We parametrize the isometry and equivalence classes of skew constacyclic codes over a finite field by classifying the corresponding classes of their ambient rings, and present algo…
cs.IT2026
When isometry and equivalence for skew constacyclic codes coincide
Monica Nevins, Susanne Pumpluen
We work in the setting of linear skew constacyclic codes over a commutative base ring . We show that the notions of -isometry and -equivalence introduced by Ou-a…
math.RA2024
A parametrization of nonassociative cyclic algebras of prime degree
Monica Nevins, Susanne Pumpluen
We determine and explicitly parametrize the isomorphism classes of nonassociative quaternion algebras over a field of characteristic different from two, as well as the isomorphism…