A projection construction for semifields
Juergen Bierbrauer, William M. Kantor
TL;DR
This paper introduces a new projection method for constructing finite semifields, unifying previous constructions and enabling the creation of new semifields with potential applications in finite geometry and coding theory.
Contribution
It presents a novel projection construction technique that generalizes and extends existing semifield constructions, offering a unified framework.
Findings
Provides a new method for semifield construction
Includes known semifields as special cases
Enables creation of new semifields with desired properties
Abstract
Simple constructions are given for finite semifields that include as special cases both old semifields and recently constructed semifields.
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Taxonomy
Topicssemigroups and automata theory · Advanced Topics in Algebra · Algebraic structures and combinatorial models