Browsing Faculty of Mathematics and Natural Sciences by Journals "IEEE Transactions on Information Theory"
Now showing items 1-6 of 6
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Constructing APN functions through isotopic shifts
(Journal article; Peer reviewed, 2020)Almost perfect nonlinear (APN) functions over fields of characteristic 2 play an important role in cryptography, coding theory and, more generally, mathematics and information theory. In this paper we deduce a new method ... -
A New Family of APN Quadrinomials
(Journal article; Peer reviewed, 2020)The binomial B(x) = x 3 +βx 36 (where β is primitive in F 2 2) over F 2 10 is the first known example of an Almost Perfect Nonlinear (APN) function that is not CCZ-equivalent to a power function, and has remained unclassified ... -
On the Asymptotics of Solving the LWE Problem Using Coded-BKW With Sieving.
(Peer reviewed; Journal article, 2019) -
On the Classification of Hermitian Self-Dual Additive Codes over GF(9)
(Peer reviewed; Journal article, 2012-08)Additive codes over GF(9) that are self-dual with respect to the Hermitian trace inner product have a natural application in quantum information theory, where they correspond to ternary quantum error-correcting codes. ... -
On the Distance Between APN Functions
(Journal article; Peer reviewed, 2020)We investigate the differential properties of a vectorial Boolean function G obtained by modifying an APN function F . This generalizes previous constructions where a function is modified at a few points. We characterize ... -
The Weight Distributions of Several Classes of Cyclic Codes From APN Monomials
(Peer reviewed; Journal article, 2014-08)Let m ≥ 3 be an odd integer and p be an odd prime. In this paper, a number of classes of three-weight cyclic codes C(1,e) over Fp, which have parity-check polynomial m1(x)me (x), are presented by examining general conditions ...