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09/13/2023
On correlation distribution of Niho-type decimation d=3(p^m-1)+1
The cross-correlation problem is a classic problem in sequence design. I...
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08/23/2021
Decoding Error Probability of the Random Matrix Ensemble over the Erasure Channel
Using tools developed in a recent work by Shen and the second author, in...
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08/06/2021
The Differential Spectrum of the Power Mapping x^p^n-3
Let n be a positive integer and p a prime. The power mapping x^p^n-3 ove...
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01/02/2020
4-uniform BCT permutations from generalized butterfly structure
As a generalization of Dillon's APN permutation, butterfly structure and...
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01/02/2020
On permutation quadrinomials and 4-uniform BCT
We study a class of general quadrinomials over the field of size 2^2m wi...
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07/30/2019
Codes, differentially δ-uniform functions and t-designs
Special functions, coding theory and t-designs have close connections an...
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03/01/2019
On the boomerang uniformity of (quadratic) permutations over F_2^n
At Eurocrypt'18, Cid, Huang, Peyrin, Sasaki, and Song introduced a new t...
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02/22/2019
Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes
It is known that the empirical spectral distribution of random matrices ...
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01/26/2019
Steiner systems S(2, 4, 3^m-1/2) and 2-designs from ternary linear codes of length 3^m-1/2
Coding theory and t-designs have close connections and interesting inter...
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11/19/2018
Cyclic bent functions and their applications in codes, codebooks, designs, MUBs and sequences
Let m be an even positive integer. A Boolean bent function f on m-1× is ...
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08/28/2018
Random Matrices from Linear Codes and Wigner's semicircle law
In this paper we consider a new normalization of matrices obtained by ch...
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06/20/2018