[Resource Topic] 2025/833: A note on closed addition chains and complete numbers

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Title:
A note on closed addition chains and complete numbers

Authors: Theophilus Agama

Abstract:

We introduce a new class of addition chains and show the numbers for which these chains are optimal satisfy the Scholz conjecture, precisely the inequality $$\iota(2^n-1)\leq n-1+\iota(n).$$

ePrint: https://eprint.iacr.org/2025/833

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