Non-commutative digit expansions for arithmetic on supersingular elliptic curves
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Publication:1677507
DOI10.1007/s10474-016-0596-zzbMath1389.11021OpenAlexW2286856152MaRDI QIDQ1677507
Publication date: 10 November 2017
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-016-0596-z
quaternionsroot of unityFrobenius endomorphismpairing computationscalar multiplicationnon-adjacent formsupersingular elliptic curvedigit expansion
Cites Work
- Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication
- A note on window \(\tau\)-NAF algorithm
- Complex multiplication structure of elliptic curves
- Efficient arithmetic on Koblitz curves
- On number system constructions
- Elliptic Curves
- Basic digit sets for radix representation
- Handbook of Elliptic and Hyperelliptic Curve Cryptography
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