Standard

Additive Differentials for ARX Mappings with Probability Exceeding 1/4. / Mokrousov, A. S.; Kolomeec, N. A.

In: Journal of Applied and Industrial Mathematics, Vol. 18, No. 2, 11, 06.2024, p. 294-311.

Research output: Contribution to journal › Article › peer-review

Harvard

Mokrousov, AS & Kolomeec, NA 2024, 'Additive Differentials for ARX Mappings with Probability Exceeding 1/4', Journal of Applied and Industrial Mathematics, vol. 18, no. 2, 11, pp. 294-311. https://doi.org/10.1134/S199047892402011X

APA

Mokrousov, A. S., & Kolomeec, N. A. (2024). Additive Differentials for ARX Mappings with Probability Exceeding 1/4. Journal of Applied and Industrial Mathematics, 18(2), 294-311. [11]. https://doi.org/10.1134/S199047892402011X

Vancouver

Mokrousov AS, Kolomeec NA. Additive Differentials for ARX Mappings with Probability Exceeding 1/4. Journal of Applied and Industrial Mathematics. 2024 Jun;18(2):294-311. 11. doi: 10.1134/S199047892402011X

Author

Mokrousov, A. S. ; Kolomeec, N. A. / Additive Differentials for ARX Mappings with Probability Exceeding 1/4. In: Journal of Applied and Industrial Mathematics. 2024 ; Vol. 18, No. 2. pp. 294-311.

BibTeX

@article{79728e2c7ed74936a5ef9463bc6d6c4d,
title = "Additive Differentials for ARX Mappings with Probability Exceeding 1/4",
abstract = "We consider the additive differential probabilities of functions and, where and. The probabilities are used for the differential cryptanalysis of ARX ciphersthat operate only with addition modulo, bitwise XOR (), and bit rotations (). A complete characterization of differentials whose probability exceeds is obtained. All possible values of their probabilities are for. We describe differentials with each of these probabilities and calculate thenumber of these values. We also calculate the number of all considered differentials. It is for and for, where. We compare differentials of both mappings under the given constraint.",
keywords = "ARX scheme, XOR, bit rotation, differential probability, modulo addition",
author = "Mokrousov, {A. S.} and Kolomeec, {N. A.}",
note = "This work was supported by the Mathematical Center in Akademgorodok under the agreement with the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075–15–2022–282.",
year = "2024",
month = jun,
doi = "10.1134/S199047892402011X",
language = "English",
volume = "18",
pages = "294--311",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Additive Differentials for ARX Mappings with Probability Exceeding 1/4

AU - Mokrousov, A. S.

AU - Kolomeec, N. A.

N1 - This work was supported by the Mathematical Center in Akademgorodok under the agreement with the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075–15–2022–282.

PY - 2024/6

Y1 - 2024/6

N2 - We consider the additive differential probabilities of functions and, where and. The probabilities are used for the differential cryptanalysis of ARX ciphersthat operate only with addition modulo, bitwise XOR (), and bit rotations (). A complete characterization of differentials whose probability exceeds is obtained. All possible values of their probabilities are for. We describe differentials with each of these probabilities and calculate thenumber of these values. We also calculate the number of all considered differentials. It is for and for, where. We compare differentials of both mappings under the given constraint.

AB - We consider the additive differential probabilities of functions and, where and. The probabilities are used for the differential cryptanalysis of ARX ciphersthat operate only with addition modulo, bitwise XOR (), and bit rotations (). A complete characterization of differentials whose probability exceeds is obtained. All possible values of their probabilities are for. We describe differentials with each of these probabilities and calculate thenumber of these values. We also calculate the number of all considered differentials. It is for and for, where. We compare differentials of both mappings under the given constraint.

KW - ARX scheme

KW - XOR

KW - bit rotation

KW - differential probability

KW - modulo addition

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85201382133&origin=inward&txGid=cc042e764041a55270f1ea747307d2e3

UR - https://elibrary.ru/item.asp?id=68611706

UR - https://www.mendeley.com/catalogue/7bc6f366-c2b1-34dc-820a-af1080b503e7/

U2 - 10.1134/S199047892402011X

DO - 10.1134/S199047892402011X

M3 - Article

VL - 18

SP - 294

EP - 311

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

M1 - 11

ER -

ID: 60747815