Lattices of type A_n, D_n, E_n and codes

2025/02/27 by Riku Higa, Higa, Riku
Computer Science · Engineering · #11H06 #Advanced Algebra and Logic #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #graph theory and CDMA systems #primary 11H71 #secondary 11E12

paper · pdf · doi:10.48550/arxiv.2502.19753

openalex publication_date 2025/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a construction of lattices from codes corresponding to lattices of type A_n, D_n and E_n. This construction is a generalization of construction A of lattices from p-ary codes corresponding to a lattice of type A_p-1. Moreover, we introduce some examples of application of lattices from the construction to Hilbert modular form.

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