3 years ago

A fast optimal parallel algorithm for a short addition chain

Hazem M. Bahig

Abstract

Given a natural number e, an addition chain for e is a finite sequence of numbers having the following properties: (1) the first number is one, (2) every element is the sum of two earlier elements, and (3) the given number occurs at the end of the sequence. We introduce a fast optimal algorithm to generate a chain of short length for the number e of n-bits. The algorithm is based on the right–left binary strategy and barrel shifter circuit. The algorithm uses \(O((\frac{n}{\log {n}})^2)\) processors and runs in \(O((\log {n})^2)\) time under exclusive read exclusive write parallel random access machine.

Publisher URL: https://link.springer.com/article/10.1007/s11227-017-2129-0

DOI: 10.1007/s11227-017-2129-0

You might also like
Never Miss Important Research

Researcher is an app designed by academics, for academics. Create a personalised feed in two minutes.
Choose from over 15,000 academics journals covering ten research areas then let Researcher deliver you papers tailored to your interests each day.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.