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

Summary, in English

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 ~271 bit operations.

• Författare: Qian Guo; Thomas Johansson; Carl Löndahl
• Avdelning/ar: Institutionen för elektro- och informationsteknik; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publiceringsår: 2015
• Språk: Engelska
• Sidor: 6204-6212
• Publikation/Tidskrift/Serie: IEEE Transactions on Information Theory
• Volym: 61
• Issue: 11
• Länkar: http://dx.doi.org/10.1109/TIT.2015.2475738
• Dokumenttyp: Artikel i tidskrift
• Förlag: IEEE - Institute of Electrical and Electronics Engineers Inc.
• Ämne: Other Electrical Engineering, Electronic Engineering, Information Engineering
• Status: Published
• Forskningsgrupp: Crypto and Security
• ISBN/ISSN/Övrigt: ISSN: 0018-9448