10 citations · 74 across the 27 of their papers we have counts for
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math.NT2012
Analysis of the Width-w Non-Adjacent Form in Conjunction with Hyperelliptic Curve Cryptography and with Lattices
Daniel Krenn
We analyse the number of occurrences of a fixed non-zero digit in the width-w non-adjacent forms of all elements of a lattice in some region (e.g. a ball). Our result is an asympto…
math.NT2012★ 5 cited
Existence and Optimality of -Non-adjacent Forms with an Algebraic Integer Base
Clemens Heuberger, Daniel Krenn
We consider digital expansions in lattices with endomorphisms acting as base. We focus on the -non-adjacent form (-NAF), where each block of consecutive digits contains a…
math.NT2012★ 7 cited
On linear combinations of units with bounded coefficients and double-base digit expansions
Daniel Krenn, Jörg Thuswaldner, Volker Ziegler
Let $\ord$ be the maximal order of a number field. Belcher showed in the 1970s that every algebraic integer in $\ord$ is the sum of pairwise distinct units, if the unit equation $u…