English

A meet-in-the-middle algorithm for finding extremal restricted additive 2-bases

Number Theory 2018-10-04 v1 Combinatorics

Abstract

An additive 2-basis with range n is restricted if its largest element is n/2. Among the restricted 2-bases of given length k, the ones that have the greatest range are extremal restricted. We describe an algorithm that finds the extremal restricted 2-bases of a given length, and we list them for lengths up to k = 41.

Keywords

Cite

@article{arxiv.1403.5945,
  title  = {A meet-in-the-middle algorithm for finding extremal restricted additive 2-bases},
  author = {Jukka Kohonen},
  journal= {arXiv preprint arXiv:1403.5945},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-22T03:32:49.205Z