Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Robust Codes Constructions based on Bent Functions and Spline-Wavelet Decomposition

Version 1 : Received: 17 August 2022 / Approved: 18 August 2022 / Online: 18 August 2022 (11:07:32 CEST)

A peer-reviewed article of this Preprint also exists.

Levina, A.; Ryaskin, G. Robust Code Constructions Based on Bent Functions and Spline Wavelet Decomposition. Mathematics 2022, 10, 3305. Levina, A.; Ryaskin, G. Robust Code Constructions Based on Bent Functions and Spline Wavelet Decomposition. Mathematics 2022, 10, 3305.

Journal reference: Mathematics 2022, 10, 3305
DOI: 10.3390/math10183305

Abstract

The paper investigates new robust code constructions based on bent functions and spline–wavelet transformation. Implementation of bent functions in codes construction increases the probability of error detection in the data channel and cryptographic devices. Meanwhile, use of spline–wavelets theory for constructing the codes gives the possibility to increase system security from the actions of an attacker. Presented constructions combines spline–wavelets functions and bent functions. Developed robust codes, compared to existing ones, have a higher parameter of maximum error masking probability. Illustrated codes are ensuring the security of transmitted information. Some of the granted constructions were implemented on FPGA.

Keywords

robust codes; bent-functions; spline-wavelet decomposition; error detection

Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.

We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.