Functions which are PN on infinitely many extensions of 𝔽p, p odd
نویسنده
چکیده
Jedlicka, Hernando and McGuire have proved that Gold and Kasami functions are the only power mappings which are APN on infinitely many extensions of F2. For p an odd prime, we prove that the only power mappings x 7→ x such that m ≡ 1 mod p which are PN on infinitely many extensions of of Fp are those such that m = 1 + p , l positive integer. As Jedlicka, Hernando and McGuire, we prove that (x+1) −x−(y+1)+y x−y has an absolutely irreducible factor by using Bézout’s Theorem.
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عنوان ژورنال:
- Des. Codes Cryptography
دوره 75 شماره
صفحات -
تاریخ انتشار 2015