A New Algorithm for Solving Ring-LPN With a Reducible Polynomial

作者：Guo Qian^*; Johansson Thomas; Londahl Carl

来源：IEEE Transactions on Information Theory, 2015, 61(11): 6204-6212.

DOI：10.1109/TIT.2015.2475738

• Birthday attacks
• Fast Walsh-Hardmard Transform
• Lapin
• LPN
• RING-LPN

The learning parity with noise (LPN) problem has recently proved to be of great importance in cryptology. A special and very useful case is the Ring-LPN problem, which typically provides improved efficiency in the constructed cryptographic primitive. We present a new algorithm for solving the Ring-LPN problem in the case when the polynomial used is reducible. It greatly outperforms the previous algorithms for solving this problem. Using the algorithm, we can break the Lapin authentication protocol for the proposed instance using a reducible polynomial, in similar to 2(71) bit operations.

• 出版日期2015-11
• 单位复旦大学