New Hash Function and Braid Subgroups

2015 INTERNATIONAL CONFERENCE ON SOFTWARE, MULTIMEDIA AND COMMUNICATION ENGINEERING (SMCE 2015)（2015）

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摘要

Based on the generators of Mihailova subgroups of a braid group where the Mihailova subgroups enjoy unsolvable subgroup membership problem, we propose a new hash function by employing AES algorithm. We show that the proposed hash function is a one-way and collision free function. We also show that this new hash function can be applied for data integration, message or entity authentication, and digital signature.

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关键词

Braid group, Mihailova subgroup, Subgroup membership problem, AES, One-way function, Collision resistance function

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