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math.RA2025
A closer look at some cyclic semifields
Susanne Pumpluen
We prove that the choice of the automorphism in the construction of a Petit semifield is important when counting isomorphism classes. Different choices of generators of the…
math.RA2025
Using cyclic -codes over finite chain rings to construct - and -lattices
Susanne Pumpluen
We construct -lattices and -lattices from cyclic -codes over finite chain rings, employing quotients of natural nonassociative orders an…