A generalization of some Huang-Johnson semifields
Electron. J. Comb., 2011 The seven Huang-Johnson semifields are semifields of order 64 with left nucleus of order 8 and center of order 2, which will be referred as the Huang-Johnson semifields of type II, III, IV, V, VI, VII, and VIII. The authors have investigated the question whether these sporadic examples are contained in larger families. They prove that the Huang-Johnson
JOHNSON N. L +3 more
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Perfect nonlinear binomials and their semifields
Finite Fields and Their Applications, 2009 The authors show that the binomial \[ F(x) = x^{p^s+1}-u^{p^k-1}x^{p^k+p^{2k+s}}\tag{b} \] is a perfect nonlinear (PN) mapping on \(\text{GF}(p^n)\) if \(p\) is an odd prime, \(n=3k\), \(\gcd(3,k) = 1\), \(k \equiv s \bmod 3\), \(n/\gcd(s,n)\) is odd and \(u\) is a primitive element of \(\text{GF}(p^n)\). The APN-ness of binomials of this shape for \(p=
Zhengbang Zha +2 more
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Integration on topological semifields [PDF]
Pacific Journal of Mathematics, 1971 Anton, Howard, Pervin, W. J.
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On translation hyperovals in semifield planes
Designs, Codes and CryptographyIn this paper we demonstrate the first example of a finite translation plane which does not contain a translation hyperoval, disproving a conjecture of Cherowitzo. The counterexample is a semifield plane, specifically a Generalised Twisted Field plane, of order $64$. We also relate this non-existence to the covering radius of two associated rank-metric
Kevin Allen, John Sheekey
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The Case for Shifting the Rényi Entropy. [PDF]
Entropy (Basel), 2019 Valverde-Albacete FJ, Peláez-Moreno C.
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Tan's Epsilon-Determinant and Ranks of Matrices over Semirings. [PDF]
Int Sch Res Notices, 2015 Mohindru P, Pereira R.
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Peer review of the pesticide risk assessment for bees for the active substance thiamethoxam considering the uses as seed treatments and granules. [PDF]
EFSA J, 2018 European Food Safety Authority (EFSA).
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General principal forms imitating locally square integrable forms. [PDF]
Proc Natl Acad Sci U S A, 1967 Nakai M, Sario L.
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Peer review of the pesticide risk assessment for bees for the active substance imidacloprid considering the uses as seed treatments and granules. [PDF]
EFSA J, 2018 European Food Safety Authority (EFSA).
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Peer review of the pesticide risk assessment for bees for the active substance clothianidin considering the uses as seed treatments and granules. [PDF]
EFSA J, 2018 European Food Safety Authority (EFSA).
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