Explicit bases for Riemann-Roch spaces on elliptic curves and their application in constructing various elliptic code families

arXiv:2508.04340 · cs.IT, cs.CR, math.AG, math.IT · Submitted 2025-08-06 · Read on arXiv

cs.IT, cs.CR, math.AG, math.IT

Submitted: 2025-08-06

Updated: 2026-09-13

Comments: This version was submitted to Cryptography and Communications. The peer-reviewed version of record: https://doi.org/10.1007/s12095-026-00923-w

DOI: 10.1007/s12095-026-00923-w

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Redundancy — 2× in this paper · explained in 2 episodes

Related papers

• Clipped Affine Policy: Low-Complexity Near-Optimal Online Power Control for Energy Harvesting Communications over Fading Channels
• Discrepancy for Random Linear Codes
• A New Approach to Code Smoothing Bounds
• Contextual Memory-Enhanced Source Coding for Low-SNR Communications
• Symmetry-Enforced Quadratic Approximate-Degradability Bounds for Noisy Landau-Streater Channels
• Anonymous Shamir's Secret Sharing via Reed-Solomon Codes Against Permutations, Insertions, and Deletions