On isotopisms and strong isotopisms of commutative presemifields
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چکیده
In this paper we prove that the P(q, ) (q odd prime power and > 1 odd) commutative semifields constructed by Bierbrauer (Des. Codes Cryptogr. 61:187–196, 2011) are isotopic to some commutative presemifields constructed by Budaghyan and Helleseth (SETA, pp. 403–414, 2008). Also, we show that they are strongly isotopic if and only if q ≡ 1(mod 4). Consequently, for each q ≡−1(mod 4) there exist isotopic commutative presemifields of order q2 ( > 1 odd) defining CCZ-inequivalent planar DO polynomials.
منابع مشابه
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تاریخ انتشار 2012