Robust Code Constructions Based on Bent Functions and Spline Wavelet Decomposition

Alla Levina () and Gleb Ryaskin
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Alla Levina: Faculty of Computer Science and Technology, Saint Petersburg Electrotechnical University “LETI”, Professora Popova Str. 5, 100190 Saint-Petersburg, Russia
Gleb Ryaskin: Faculty of Computer Science and Technology, Saint Petersburg Electrotechnical University “LETI”, Professora Popova Str. 5, 100190 Saint-Petersburg, Russia

Mathematics, 2022, vol. 10, issue 18, 1-13

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

Keywords: robust codes; bent-functions; spline-wavelet decomposition; error detection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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