T-functions revisited: New criteria for bijectivity/transitivity

Details T-functions revisited: New criteria for bijectivity/transitivity T-functions revisited: New criteria for bijectivity/transitivity

2011-11-14

arxiv.org/abs/1111.3093v1

Computer Science

Cryptography and Security

Scientific paper

The paper presents new criteria for bijectivity/transitivity of T-functions
and fast knapsack-like algorithm of evaluation of a T-function. Our approach is
based on non-Archimedean ergodic theory: Both the criteria and algorithm use
van der Put series to represent 1-Lipschitz $p$-adic functions and to study
measure-preservation/ergodicity of these.

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