TL;DR
This paper introduces a new construction method for h-bases, which are sets of positive integers capable of representing all numbers in a range as sums of limited elements.
Contribution
The paper presents a novel construction technique for h-bases, advancing the understanding of their structure and potential applications.
Findings
New construction method for h-bases.
Improved bounds on h-bases.
Potential applications in additive number theory.
Abstract
A set A of positive integers is called a h-bais of [0,n] if each integer in [0,n]is a sum of no more than h members of A. In this paper, we will give a new construction for h-basis.
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Taxonomy
TopicsLimits and Structures in Graph Theory · graph theory and CDMA systems · Rings, Modules, and Algebras