Results 31 to 40 of about 269 (65)
Some bounds for the relative generalized Hamming weights of some evaluation codes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we find some bounds for the relative generalized Hamming weights of some codes parameterized by a set of monomials of the same degree.
Sarabia Manuel González
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, 2012 We compute the basic parameters (dimension, length, minimum distance) of affine evaluation codes defined on a cartesian product of finite sets. Given a sequence of positive integers, we construct an evaluation code, over a degenerate torus, with ...
Lopez, Hiram H. +2 more
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Further Results of the Cryptographic Properties on the Butterfly Structures
, 2016 Recently, a new structure called butterfly introduced by Perrin et at. is attractive for that it has very good cryptographic properties: the differential uniformity is at most equal to 4 and algebraic degree is also very high when exponent $e=3$.
Feng, Xiutao, Fu, Shihui
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Vanishing Ideals Over Odd Cycles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Let K be a finite field. Let X* be a subset of the a ne space Kn, which is parameterized by odd cycles. In this paper we give an explicit Gröbner basis for the vanishing ideal, I(X*), of X*.
Uribe-Paczka M. Eduardo +2 more
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A Generic Approach to Searching for Jacobians
, 2007 We consider the problem of finding cryptographically suitable Jacobians. By applying a probabilistic generic algorithm to compute the zeta functions of low genus curves drawn from an arbitrary family, we can search for Jacobians containing a large ...
Sutherland, Andrew V.
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Toric Codes and Lattice Ideals
, 2018 Let $X$ be a complete simplicial toric variety over a finite field $\mathbb{F}_q$ with homogeneous coordinate ring $S=\mathbb{F}_q[x_1,\dots,x_r]$ and split torus $T_X\cong (\mathbb{F}^*_q)^n$.
Şahin, Mesut
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The Rabin cryptosystem revisited [PDF]
, 2013 The Rabin public-key cryptosystem is revisited with a focus on the problem of identifying the encrypted message unambiguously for any pair of primes.
Elia, Michele +2 more
core
On the lattice Hadwiger number of superballs and some other bodies
, 2019 We show that the lattice Hadwiger number of superballs is exponential in the dimension.
Vlăduţ, Serge
core
, 2015 This paper is concerned with some Algebraic Geometry codes on Jacobians of genus 2 curves. We derive a lower bound for the minimum distance of these codes from an upper "Weil type" bound for the number of rational points on irreducible (possibly singular
Haloui, Safia
core
Linear Codes from Two Weakly Regular Plateaued Balanced Functions. [PDF]
Entropy (Basel), 2023 Yang S, Zhang T, Li P.
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