Geodesic
Discrete differentiations and integrations and their possible applications to algebra and cryptography
Prikladnaâ diskretnaâ matematika, no. 3 (2023), pp. 5-14

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Generalized operations of discrete differentiation and integration are defined. Some of their properties are given. A brief review of the results obtained earlier with the use of these concepts in algebra and cryptography is given. A new message encryption scheme based on these operations is proposed. We also show how they can be used for authentication and key distribution.
Keywords: discrete differentiations and integrations, encryption scheme, key distribution.
Mots-clés : autentification 
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     author = {S. K. Voloshin and V. A. Roman'kov},
     title = {Discrete differentiations and integrations and their possible applications to algebra and cryptography},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {5--14},
     publisher = {mathdoc},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2023_3_a0/}
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S. K. Voloshin; V. A. Roman'kov. Discrete differentiations and integrations and their possible applications to algebra and cryptography. Prikladnaâ diskretnaâ matematika, no. 3 (2023), pp. 5-14. http://geodesic.mathdoc.fr/item/PDM_2023_3_a0/