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Norm-Euclidean Galois fields

open access: yes, 2010
Let K be a Galois number field of prime degree $\ell$. Heilbronn showed that for a given $\ell$ there are only finitely many such fields that are norm-Euclidean. In the case of $\ell=2$ all such norm-Euclidean fields have been identified, but for $\ell\neq 2$, little else is known. We give the first upper bounds on the discriminants of such fields when
openaire   +2 more sources

Synthesis method for s-boxes based on galois field transform matrices

open access: hybrid, 2023
E. V. Bakunina   +3 more
openalex   +1 more source

Zariski density of crystalline points. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Böckle G, Iyengar A, Paškūnas V.
europepmc   +1 more source

A compact and efficient AES-32GF for encryption in small IoT devices. [PDF]

open access: yesMethodsX, 2023
Dhanda SS, Jindal P, Singh B, Panwar D.
europepmc   +1 more source

Galois groups of Kummer extensions of number fields [PDF]

open access: diamond
Bryan Advocaat   +4 more
openalex   +1 more source

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