2022/06/04 by Fernando Piñero González, González, Fernando Piñero, Doel Rivera-Laboy +1
Computer Science · Engineering · #14G50 #14M15 #94B05 #94B27 #Advanced Wireless Network Optimization #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.2206.01872
openalex publication_date 2022/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this manuscript, we introduce a new class of linear codes, called affine symplectic Grassmann codes, and determine their parameters, automorphism group, minimum distance codewords, dual code and other key features. These linear codes are defined from an affine part of a polar symplectic Grassmannian. They combine polar symplectic Grassmann codes and affine Grassmann codes.