Relating Boolean gate truth tables to one-way functions

Article type: Research Article

Authors: Gomathisankaran, Mahadevan^a | Tyagi, Akhilesh^{b; *}

Affiliations: [a] Department of Electrical Engineering, Princeton University, Princeton, NJ, USA | [b] Department of Electrical & Computer Engineering, Iowa State University, Ames, IA, USA

Correspondence: [*] Corresponding author: Dr. Akhilesh Tyagi, Department of Electrical and Computer Engineering, Iowa State University, Ames, IA 50011, USA. E-mail: [email protected].

Abstract: We present a schema to build one way functions from a family of Boolean gates. Moreover, we relate characteristics of these Boolean gate truth tables to properties of the derived one-way functions. We believe this to be the first attempt at establishing cryptographic properties from the Boolean cube spaces of the component gates. This schema is then used to build a family of compression functions, which in turn can be used to get block encryption and hash functions. These functions are based on reconfigurable gates. We prove cryptographically relevant properties for these function implementations. Various applications incorporating these one-way functions, specifically memory integrity in processor architecture, are presented.

DOI: 10.3233/ICA-2009-0307

Journal: Integrated Computer-Aided Engineering, vol. 16, no. 2, pp. 141-150, 2009