Title
Shorter Linear Straight-Line Programs for MDS Matrices.
Abstract
Recently a lot of attention is paid to the search for efficiently implementable MDS matrices for lightweight symmetric primitives. Most previous work concentrated on locally optimizing the multiplication with single matrix elements. Separate from this line of work, several heuristics were developed to find shortest linear straightline programs. Solving this problem actually corresponds to globally optimizing multiplications by matrices. In this work we combine those, so far largely independent lines of work. As a result, we achieve implementations of known, locally optimized, and new MDS matrices that significantly outperform all implementations from the literature. Interestingly, almost all previous locally optimized constructions behave very similar with respect to the globally optimized implementation. As a side effect, our work reveals the so far best implementation of the Aes Mix- Columns operation with respect to the number of XOR operations needed.
Year
Venue
DocType
2017
IACR Trans. Symmetric Cryptol.
Journal
Volume
Issue
Citations 
2017
4
2
PageRank 
References 
Authors
0.37
0
4
Name
Order
Citations
PageRank
Thorsten Kranz141.10
Gregor Leander2128777.03
Ko Stoffelen331.06
Friedrich Wiemer421.38