4 papers
A parametrization of nonassociative Petit algebras up to equivalence
Monica Nevins, Susanne Pumpluen
Let be a cyclic Galois field extension of degree with . The nonassociative Petit algebras have recently emerged…
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…
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-azz…
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…