Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication
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Publication:629938
DOI10.1007/s10623-010-9396-6zbMath1230.94003OpenAlexW2016027219MaRDI QIDQ629938
Clemens Heuberger, Roberto M. Avanzi, Prodinger, Helmut
Publication date: 10 March 2011
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-010-9396-6
Frobenius endomorphismscalar multiplicationefficient implementation\(\tau\)-adic expansionsKoblitz curvesdigit setsnon-adjacent-formspoint halving
Related Items (5)
Non-commutative digit expansions for arithmetic on supersingular elliptic curves ⋮ Redundant \(\tau \)-adic expansions. II: Non-optimality and chaotic behaviour ⋮ Non-minimality of the width-$w$ non-adjacent form in conjunction with trace one $\tau $-adic digit expansions and Koblitz curves in characteristic two ⋮ Symmetric digit sets for elliptic curve scalar multiplication without precomputation ⋮ Some properties of \(\tau\)-adic expansions on hyperelliptic Koblitz curves
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