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- W1993007089 abstract "In this paper we prove that the P(q,ℓ) (q odd prime power and ℓ>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 q 2ℓ (ℓ>1 odd) defining CCZ-inequivalent planar DO polynomials." @default.
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- W1993007089 date "2011-12-07" @default.
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- W1993007089 title "On isotopisms and strong isotopisms of commutative presemifields" @default.
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- W1993007089 doi "https://doi.org/10.1007/s10801-011-0334-0" @default.
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