Cover Image

Riemann-Roch bases for arbitrary elliptic curve divisors and their application in cryptography

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kuninets, Artyom, Malygina, Ekaterina
Format:	Preprint
Published:	2025
Subjects:	Information Theory Cryptography and Security Algebraic Geometry 14H05, 94B27, 11T71
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Cyclic AG-Codes on the Hermitian Curve
by: Aguglia, Angela, et al.
Published: (2026)

Mumford representation and Riemann Roch space of a divisor on a hyperelliptic curve
by: Falcone, Giovanni, et al.
Published: (2023)

Hermitian-Singer Functional and Differential Codes
by: Korchmáros, Gábor, et al.
Published: (2025)

Linear Complementary dual codes and Linear Complementary pairs of AG codes in function fields
by: Castellanos, Alonso S., et al.
Published: (2024)

Self-orthogonal flags of codes and translation of flags of algebraic geometry codes
by: Bras-Amorós, Maria, et al.
Published: (2024)

Explicit non-special divisors of small degree, algebraic geometric hulls, and LCD codes from Kummer extensions
by: Camps, Eduardo, et al.
Published: (2021)

Two-point AG codes from one of the Skabelund maximal curves
by: Landi, Leonardo, et al.
Published: (2023)

Sequences of LCD AG codes and LCP of AG Codes attaining the Tsfasman-Vladut-Zink bound
by: Marques, Adler, et al.
Published: (2025)

On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$
by: Hernando, Fernando, et al.
Published: (2013)

Maximal quadrics over finite fields and minimal codewords of projective Reed-Muller codes
by: Couvreur, Alain, et al.
Published: (2026)

Computing Vanishing Ideals for Toric Codes
by: Şahin, Mesut
Published: (2022)

LRC codes over characteristic $2$
by: Galluccio, Francisco
Published: (2026)

Algebraic algorithms for vector bundles over curves
by: Montessinos, Mickaël
Published: (2024)

Quantum codes from a new construction of self-orthogonal algebraic geometry codes
by: Hernando, Fernando, et al.
Published: (2019)

Fast computation of 2-isogenies in dimension 4 and cryptographic applications
by: Dartois, Pierrick
Published: (2024)

Algebraic hierarchical locally recoverable codes with nested affine subspace recovery
by: Haymaker, Kathryn, et al.
Published: (2023)

Distortion maps for elliptic curves over finite fields
by: Andrusov, Nikita, et al.
Published: (2026)

Next-to-minimal weight of toric codes defined over hypersimplices
by: Carvalho, Cícero, et al.
Published: (2025)

The weight hierarchy of decreasing norm-trace codes
by: Camps-Moreno, Eduardo, et al.
Published: (2024)

Decreasing norm-trace codes
by: Carvalho, Cícero, et al.
Published: (2022)

Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings
by: Haymaker, Kathryn, et al.
Published: (2023)

On the number of minimal and next-to-minimal weight codewords of toric codes over hypersimplices
by: Carvalho, Cícero, et al.
Published: (2025)

Locally Recoverable Codes with availability from a family of fibered surfaces
by: Salgado, Cecília, et al.
Published: (2025)

A new criterion for the absolute irreducibility of multivariate polynomials over finite fields
by: Agrinsoni, Carlos, et al.
Published: (2026)

Tracing AG Codes: Toward Meeting the Gilbert-Varshamov Bound
by: Cohen, Gil, et al.
Published: (2025)

Polynomial Lattices for the BIKE Cryptosystem
by: Schaller, Michael
Published: (2025)

Characterization of non-special divisors of small degree on Kummer extensions and LCP codes
by: Mendoza, Erik, et al.
Published: (2026)

Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes
by: González-Sarabia, Manuel, et al.
Published: (2023)

A Degree Bound For The c-Boomerang Uniformity Of Permutation Monomials
by: Steiner, Matthias Johann
Published: (2023)

Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes
by: Marques, Adler, et al.
Published: (2026)

Hermitian-Lifted Codes
by: López, Hiram H., et al.
Published: (2020)

On the Direct Construction of MDS and Near-MDS Matrices
by: Gupta, Kishan Chand, et al.
Published: (2023)

The dual of an evaluation code
by: López, Hiram H., et al.
Published: (2020)

Affine cartesian codes
by: Lopez, Hiram H., et al.
Published: (2012)

Weierstrass Semigroup, Pure Gaps and Codes on Function Fields
by: Castellanos, Alonso S., et al.
Published: (2023)

A Degree Bound for the c-Boomerang Uniformity
by: Steiner, Matthias Johann
Published: (2025)

The group structure of elliptic curves over Z/NZ
by: Sala, Massimiliano, et al.
Published: (2020)

Lifting iso-dual algebraic geometry codes
by: Chara, María, et al.
Published: (2023)

A Post Quantum Key Agreement Protocol Based on a Modified Matrix Power Function over a Rectangular Matrices Semiring
by: Hecht, Juan Pedro, et al.
Published: (2023)

Good iso-dual AG-codes from towers of function fields
by: Chara, María, et al.
Published: (2025)