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Functions with Diffusive Properties

Seraj, Samer...

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Functions with Diffusive Properties by Seraj, Samer ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	While exploring desirable properties of hash functions in cryptography, the author was led to investigate three notions of functions with scattering or "diffusive" properties, where the functions map between binary strings of fixed finite length. These notions of diffusion ask for some property to be fulfilled by the Hamming distances between outputs corresponding to pairs of inputs that lie on the endpoints of edges of an $n$-dimensional hypercube. Given the dimension of the input space, we explicitly construct such functions for every dimension of the output space that allows for the functions to exist.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1312.4568

Citation

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AMA 11th EditionReferences

Seraj, Samer. Functions with Diffusive Properties. Australian National University. August 04, 2023. Accessed August 13, 2025. https://online.provdatabase.com/cite/10786

APA 7th EditionReferences

Seraj, Samer. (2023). Functions with Diffusive Properties. Australian National University. https://online.provdatabase.com/cite/10786

Chicago 17th EditionReferences

Seraj, Samer. Functions with Diffusive Properties. Australian National University. 2023. https://online.provdatabase.com/cite/10786

HarvardReferences

Seraj, Samer. (2023). Functions with Diffusive Properties. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/10786. (Accessed 13 August 2025).

Harvard AustraliaReferences

Seraj, Samer, 2023, Functions with Diffusive Properties, Australian National University, viewed 13 August 2025, <https://online.provdatabase.com/cite/10786>

MLA 9th EditionWorks Cited

Seraj, Samer. Functions with Diffusive Properties. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/10786.

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