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math.NT2018
On the minimal Hamming weight of a multi-base representation
Daniel Krenn, Vorapong Suppakitpaisarn, Stephan Wagner
Given a finite set of bases , , \dots, (integers greater than ), a multi-base representation of an integer~ is a sum with summands $db_1^{α_1}b_2^{α_2} \cdots…
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…