S-partitions

Details S-partitions S-partitions

2001-10-17

arxiv.org/abs/math/0110185v1

Mathematics

Combinatorics

5 pages

Scientific paper

This note reports on the number of s-partitions of a natural number n. In an s-partition each cell has the form $2^k-1$ for some integer k. Such partitions have potential applications in cryptography, specifically in distributed computations of the form $a^n$ mod m. The main contribution of this paper is a correction to the upper bound on the number of s-partitions presented by Bhatt. We will give a precise asymptotics for the number of such partitions for a given integer n.

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