Functions of degree 4e that are not APN infinitely often
نویسندگان
چکیده
منابع مشابه
A few more functions that are not APN infinitely often
We consider exceptional APN functions on F2m , which by definition are functions that are APN on infinitely many extensions of F2m . Our main result is that polynomial functions of odd degree are not exceptional, provided the degree is not a Gold number (2 +1) or a Kasami-Welch number (4 −2k +1). We also have partial results on functions of even degree, and functions that have degree 2 + 1. ∗Re...
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In this paper, we show that there is no vectorial Boolean function of degree 4e, with e satisfaying certain conditions, which is APN over infinitely many extensions of its field of definition. It is a new step in the proof of the conjecture of Aubry, McGuire and Rodier. Vectorial Boolean function and Almost Perfect Non-linear functions and Algebraic surface and CCZ equivalence
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ژورنال
عنوان ژورنال: Cryptography and Communications
سال: 2011
ISSN: 1936-2447,1936-2455
DOI: 10.1007/s12095-011-0050-6