Effectiveness of Using Codes With a Sparse Check Matrix for Protection against Algebraic Manipulations

Levina, Alla; Ryaskin, Gleb; Polubaryeva, Anna

doi:10.1109/icai52893.2021.9639491

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…For example, when the system is implementing combination of LDPC code [27] and AMD code for protection against algebraic-manipulation attacks (the structure is shown in Figure 3), knowledge about the sparseness of the check matrix in LDPC gives an attacker significant advantages in both increasing the error masking probability and simplifying the process of finding undetectable errors [27]. For a successful algebraic manipulation, an attacker needs to make an error simultaneously in the LDPC odeword, bypassing the check-in part of the AMD code [27]. Therefore, if there is an algorithm that will change the values of the grid, the security of the code device from a "smart" attacker will increase.…”

Section: Spline-wavelet Code With Different Degrees On Bent Functionmentioning

confidence: 99%

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

Levina¹,

Ryaskin²

2022

Preprint

Self Cite

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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.

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Section: Spline-wavelet Code With Different Degrees On Bent Functionmentioning

confidence: 99%

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

Levina¹,

Ryaskin²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…For example, when the system is implementing a combination of LDPC code [27] and AMD code for protection against algebraic-manipulation attacks (the structure is shown in Figure 3), knowledge about the sparseness of the check matrix in LDPC gives an attacker significant advantages in both increasing the error masking probability and simplifying the process of finding undetectable errors [27]. For a successful algebraic manipulation, an attacker needs to make an error simultaneously in the LDPC codeword, bypassing the check-in part of the AMD code [27]. Therefore, if there is an algorithm that will change the values of the grid, the security of the code device from a "smart" attacker will increase.…”

Section: Spline Wavelet Code With Different Degrees On Bent Functionmentioning

confidence: 99%

Robust Code Constructions Based on Bent Functions and Spline Wavelet Decomposition

Levina

Ryaskin

2022

Mathematics

Self Cite

View full text Add to dashboard Cite

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.

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An Investigation of Blockchain Technology and Smart Contracts Deployment in Smart Medicine 4.0

Polubaryeva

2022

Principles and Practice of Blockchains

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Effectiveness of Using Codes With a Sparse Check Matrix for Protection against Algebraic Manipulations

Cited by 3 publications

References 11 publications

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

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

Robust Code Constructions Based on Bent Functions and Spline Wavelet Decomposition

An Investigation of Blockchain Technology and Smart Contracts Deployment in Smart Medicine 4.0

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