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Journal Article On the Linear Transformation in White-Box Cryptography
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Authors
Seungkwang Lee, Nam-Su Jho, Myungchul Kim
Issue Date
2020-03
Citation
IEEE Access, v.8, pp.51684-51691
ISSN
2169-3536
Publisher
IEEE
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1109/ACCESS.2020.2980594
Project Code
20HR3100, Security Technology for Portal Device that connects Human-Infrastructure-Service in highly trust intelligent information service, Sangrae Cho
Abstract
A linear transformation is applied to the white-box cryptographic implementation for the diffusion effect to prevent key-dependent intermediate values from being analyzed. However, it has been shown that there still exists a correlation before and after the linear transformation, and thus this is not enough to protect the key against statistical analysis. So far, the Hamming weight of rows in the invertible matrix has been considered the main cause of the key leakage from the linear transformation. In this study, we present an in-depth analysis of the distribution of intermediate values and the characteristics of block invertible binary matrices. Our mathematical analysis and experimental results show that the balanced distribution of the key-dependent intermediate value is the main cause of the key leakage.
KSP Keywords
Balanced distribution, Diffusion effect, Hamming weight, In-depth analysis, Intermediate values, Invertible matrix, Key leakage, Key-dependent, Linear transformation, Statistical Analysis, Whitebox Cryptography(WBC)
This work is distributed under the term of Creative Commons License (CCL)
(CC BY)
CC BY