Integral point sets over ℤ_n^m

2008/04/08 by Axel Kohnert, Kohnert, Axel, Sascha Kurz +1
Computer Science · Mathematics · #51E99 #52C10 #Analytic Number Theory Research #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.CO #msc:51E99 #msc:52C10

paper · pdf · doi:10.48550/arxiv.0804.1299

20 pages, 3 figures

arxiv created 2008/04/08 · openalex publication_date 2008/04/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There are many papers studying properties of point sets in the Euclidean space 𝔼^m or on integer grids ℤ^m, with pairwise integral or rational distances. In this article we consider the distances or coordinates of the point sets which instead of being integers are elements of ℤ / ℤn, and study the properties of the resulting combinatorial structures.

Citations

• Integral point sets over finite fields

Related

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