Welcome to the resource topic for 2015/201
Title:
Statistical Properties of Multiplication mod 2^n
Authors: A. Mahmoodi Rishakani, S. M. Dehnavi, M. R. Mirzaee Shamsabad, Hamidreza Maimani, Einollah Pasha
Abstract:In this paper, we investigate some statistical properties of multiplication mod 2^n for cryptographic use. For this purpose, we introduce a family of T-functions similar to modular multiplication, which we call M-functions as vectorial Boolean functions. At first, we determine the joint probability distribution of arbitrary number of the output of an M-function component bits. Then, we obtain the probability distribution of the component Boolean functions of combination of a linear transformation with an M-function. After that, using a new measure for computing the imbalance of maps, we show that the restriction of the output of an M-function to its upper bits is asymptotically balanced.
ePrint: https://eprint.iacr.org/2015/201
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .