Results 51 to 60 of about 710 (71)

Construction of LDPC convolutional codes via difference triangle sets. [PDF]

Des Codes Cryptogr, 2021
Alfarano GN, Lieb J, Rosenthal J.
europepmc   +1 more source

Generic constructions of PoRs from codes and instantiations

Journal of Mathematical Cryptology, 2019
In this paper, we show how to construct – from any linear code – a Proof of Retrievability (𝖯𝗈𝖱{\mathsf{PoR}}) which features very low computation complexity on both the client (𝖵𝖾𝗋𝗂𝖿𝗂𝖾𝗋{\mathsf{Verifier}}) and the server (𝖯𝗋𝗈𝗏𝖾𝗋{\mathsf{Prover}}) sides,
Lavauzelle Julien, Levy-dit-Vehel Françoise   +1 more
doaj   +1 more source

Codes from Jacobian surfaces

, 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  

Moderate-density parity-check codes from projective bundles. [PDF]

Des Codes Cryptogr, 2022
Bariffi J, Mattheus S, Neri A, Rosenthal J.   +3 more
europepmc   +1 more source

A new method of choosing primitive elements for Brezing–Weng families of pairing-friendly elliptic curves

Journal of Mathematical Cryptology, 2015
In this paper we present a new method of choosing primitive elements for Brezing–Weng families of pairing-friendly elliptic curves with small rho-values, and we improve on previously known best rho-values of families [J.
Yoon Kisoon
doaj   +1 more source

Low-rank parity-check codes over Galois rings. [PDF]

Des Codes Cryptogr, 2021
Renner J, Neri A, Puchinger S.
europepmc   +1 more source

Inner product functional encryption based on the UOV scheme

Journal of Mathematical Cryptology
We analyze the efficiency and security of the inner product functional encryption (IPFE) protocol introduced in 2021 by Debnath, Mesnager, Dey, and Kundu, specifically when instantiated with UOV.
La Scala Roberto, Meneghetti Alessio
doaj   +1 more source

New lattice attacks on DSA schemes

Journal of Mathematical Cryptology, 2016
We prove that a system of linear congruences of a particular form has at most a unique solution below a certain bound which can be computed efficiently.
Poulakis Dimitrios
doaj   +1 more source

On the Dimension of Algebraic-Geometric Trace Codes

Mathematics, 2016
We study trace codes induced from codes defined by an algebraic curve X. We determine conditions on X which admit a formula for the dimension of such a trace code.
Phong Le, Sunil Chetty
doaj   +1 more source

A note on cohomology and algebraic geometric codes on the curves over rings

Annals of the West University of Timisoara: Mathematics and Computer Science
Let 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
doaj   +1 more source