Journal Article

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid, Amjad Hussain, Arshad, Muhammad Junaid

2019

Overview

In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective function. The use of cubic polynomial maintains the simplicity of S-box construction method and found consistent when compared with other existing S-box techniques used to construct S-boxes. An example proposed S-box is obtained which is analytically evaluated using standard performance criteria including nonlinearity, bijection, bit independence, strict avalanche effect, linear approximation probability, and differential uniformity. The performance results are equated with some recently scrutinized S-boxes to ascertain its cryptographic forte. The critical analyses endorse that the proposed S-box construction technique is considerably innovative and effective to generate cryptographic strong substitution-boxes.

• Publisher: MDPI AG
• Subject: Boxes / Cryptography / Design / Mapping / Mathematical analysis / Performance evaluation / Polynomials / Spread spectrum / Substitutes