Cryptology ePrint Archive: Report 2020/074

Rolling up sleeves when subversion's in a field?

Daniel R. L. Brown

Abstract: A nothing-up-my-sleeve number is a cryptographic constant, such as a field size in elliptic curve cryptography, with qualities to assure users against subversion of the number by the system designer. A number with low Kolmogorov descriptional complexity resists being subverted to the extent that the speculated subversion would leave a trace that cannot be hidden within the short description. The roll programming language, a version of Godel's 1930s definition of computability, can somewhat objectively quantify low descriptional complexity, a nothing-up-my-sleeve quality, of a number. For example, $(2^{127}-1)^2$ and $2^{255}-19$ can be described with roll programs of 58 and 84 words.

Category / Keywords: foundations / Kolmogorov descriptional complexity, subversion

Date: received 23 Jan 2020

Contact author: danibrown at blackberry com

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Version: 20200126:193350 (All versions of this report)

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