A compact realisation of the multiplicative inverse function in the finite field F216 | Applied Discrete Mathematics. Supplement. 2018. № 11. DOI: 10.17223/2226308X/11/44

A compact realisation of the multiplicative inverse function in the finite field F216

In the paper, the well-known method for compact realization of the multiplicative inverse function in the field F28 is researched and expanded to the F2i6 field. We have got a size estimation for the multiplicative inverse function in the F2i6 field and proved a theorem showing that there exists a compact realization of the multiplicative inverse function in the field F2i6 that uses for its calculations at most 336 XORs and 189 ANDs, or 777 GE.

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Keywords

блочный шифр, поле Галуа, функция обращения элемента в поле Галуа, легковесная криптография, gate equivalent (GE), block cipher, Galois field, Galois field multiplicative inverse function, lightweight cryptography, gate equivalent (GE)

Authors

NameOrganizationE-mail
Kokoshinskiy I. E.Novosibirsk State Universitykokoshinskiy.igor@gmail.com
Всего: 1

References

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 A compact realisation of the multiplicative inverse function in the finite field F216 | Applied Discrete Mathematics. Supplement. 2018. № 11. DOI: 10.17223/2226308X/11/44

A compact realisation of the multiplicative inverse function in the finite field F216 | Applied Discrete Mathematics. Supplement. 2018. № 11. DOI: 10.17223/2226308X/11/44