Skip to main navigation Skip to search Skip to main content

Searching for differential addition chains

Research output: Contribution to journal › Article › Academic › peer-review

91 Downloads (Pure)

Abstract

The literature sometimes uses slow algorithms to find minimum-length
continued-fraction differential addition chains to speed up subsequent computations
of multiples of points on elliptic curves. This paper introduces two faster algorithms to
find these chains. The first algorithm prunes more effectively than previous algorithms. The second algorithm uses a meet-in-the-middle approach and appears to have a limiting cost exponent below 1.
Original languageEnglish
Article number45
Number of pages23
JournalResearch in Number Theory
Volume11
Issue number2
Early online date27 Mar 2025
DOIs
Publication statusPublished - Jun 2025

Fingerprint

Dive into the research topics of 'Searching for differential addition chains'. Together they form a unique fingerprint.

Cite this