Towards a Framework for the Design of Nonlinear Combiners in Ternary Logic

Slobodan  Petrović

Authors

Slobodan Petrović Norwegian University of Science and Technology, Norway

Keywords:

Cryptographic Engineering, Ternary Logic, Switching Functions, Vilenkin-Chrestenson Transform

Abstract

Ternary logic is gaining popularity since it enables realization of complex electronic circuits with fewer active elements than with binary logic. In this short paper we draw the contours of a framework for finding nonlinear combining switching functions for cryptographic applications realized on ternary IoT hardware platforms. We review the theoretical results and criteria related to ternary switching function adequacy for use in cryptography. Our framework computes the Algebraic Normal Form (ANF) of such functions and uses the Vilenkin-Chrestenson spectrum to test their non-linearity and correlation immunity.

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Author Biography

Slobodan Petrović, Norwegian University of Science and Technology, Norway

Ternary logic is gaining popularity since it enables realization of complex electronic circuits with fewer active elements than with binary logic. In this short paper we draw the contours of a framework for ﬁnding nonlinear combining switching functions for cryptographic applications realized on ternary IoT hardware platforms. We review the theoretical results and criteria related to ternary switching function adequacy for use in cryptography. Our framework computes the Algebraic Normal Form (ANF) of such functions and uses the Vilenkin-Chrestenson spectrum to test their non-linearity and correlation immunity.