5 research outputs found
Searching for differential addition chains
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
Report on evaluation of KpqC candidates
This report analyzes the 16 submissions to the Korean post-quantum cryptography (KpqC) competition