Results 31 to 40 of about 245 (45)
Every Binary Self-Dual Code Arises From Hilbert Symbols
, 2012 In this paper we construct binary self-dual codes using the \'etale cohomology of $\mathbb{Z}/2$ on the spectra of rings of $S$-integers of global fields.
Chinburg, Ted, Zhang, Ying
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A note on cohomology and algebraic geometric codes on the curves over rings
Annals of the West University of Timisoara: Mathematics and Computer ScienceLet A be a local Artinian ring with residue field k(A). Let X be a curve over A and let be X′ = X ×spec A spec k(A) the fiber of X over k(A). Consider ℒ an invertible sheaf on X and ℒ ′ = ϕ*ℒ ∈ Pic(X′), where ϕ : X′ → X is the natural map.
Nyamda Francis, Mouaha Christophe
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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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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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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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, 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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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
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, 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
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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
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Affine Cartesian codes with complementary duals
, 2018 A linear code $C$ with the property that $C \cap C^{\perp} = \{0 \}$ is said to be a linear complementary dual, or LCD, code. In this paper, we consider generalized affine Cartesian codes which are LCD.
López, Hiram H. +2 more
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