On a generalization of cyclic semifields
نویسندگان
چکیده
A new construction is given of cyclic semifields of orders q2n, n odd, with kernel (left nucleus) Fqn and right and middle nuclei isomorphic to Fq2 , and the isotopism classes are determined. Furthermore, this construction is generalized to produce potentially new semifields of the same general type that are not isotopic to cyclic semifields. In particular, a new semifield plane of order 45 and new semifield planes of order 165 are constructed by this method.
منابع مشابه
A Generalization of Some Huang-Johnson Semifields
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