Cryptology ePrint Archive: Report 2018/1130

Applications of H-Technique: Revisiting Symmetric Key Security Analysis

Ashwin Jha and Mridul Nandi

Abstract: The Coefficients H Technique (also called H-technique), by Patarin, is a tool to obtain upper bound on the distinguishing advantage. The tool is known for providing quite simpler and tight bound proofs as compared to some other well-known tools such as Game-playing technique and Random Systems methodology. In this paper, we aim to provide a brief survey on the H-technique. The survey is in three parts: First, we redevelop the necessary nomenclatures and tools required to study the security of symmetric key designs. Second, we give a full description of the H-technique and show that it can provide optimal bounds on the distinguishing advantage. Third, we give simpler proofs for some popular symmetric key designs, across different paradigms, using the H-technique.

Category / Keywords: secret-key cryptography / provable security, coefficients H technique, Feistel, ENR, LDT, HCTR, TET

Date: received 20 Nov 2018

Contact author: ashwin jha1991 at gmail com

Available format(s): PDF | BibTeX Citation

Version: 20181129:023141 (All versions of this report)

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