Zobrazeno 1 - 10
of 17 347
pro vyhledávání: '"Finite Field"'
Autor:
Gravel Claude, Panario Daniel
Publikováno v:
Journal of Mathematical Cryptology, Vol 18, Iss 1, Pp 2350051-715 (2024)
The authors introduced a new family of cryptographic schemes in a previous research article, which includes many practical encryption schemes, such as the Feistel family. Given a finite field of order qq, any n>m≥0n\gt m\ge 0, the authors described
Externí odkaz:
https://doaj.org/article/55fb642de4414294b9dba720462348bc
Autor:
Ballico, Edoardo
Publikováno v:
Arab Journal of Mathematical Sciences, 2023, Vol. 30, Issue 2, pp. 245-255.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AJMS-10-2022-0242
Autor:
Zhichao Tang, Xiang Fan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 26557-26578 (2024)
Cyclotomic numbers and Jacobi sums, introduced over two centuries ago by Gauss and Jacobi, respectively, are pivotal in number theory and find wide applications in combinatorial designs, coding theory, cryptography, and information theory. The cyclot
Externí odkaz:
https://doaj.org/article/e9d3612a9bfe4e6a98f83490ab55c058
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 21656-21671 (2024)
Let a prime $ p\equiv 1(\text{mod}3) $ and $ z $ be non-cubic in $ \mathbb{F}_p $. Gauss proved that the number of solutions of equation $ x_1^3+x_2^3+zx_3^3 = 0 $ in $ \mathbb{F}_p $ was $ p^2+\frac{1}{2}(p-1)(9d-c) $, where $ c $ was uniquely deter
Externí odkaz:
https://doaj.org/article/d65a536409a542d19d2bac4fbac9b483
Autor:
Edoardo Ballico
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 30, Iss 2, Pp 245-255 (2024)
Purpose – The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square matrix over a finite field. Design/methodology/approach –
Externí odkaz:
https://doaj.org/article/4936b47a9e3a4f749a3560a9fb80397e
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18236-18246 (2024)
Codebooks with small inner-product correlations are desirable in many fields, including compressed sensing, direct spread code division multiple access (CDMA) systems, and space-time codes. The objective of this paper is to present a class of codeboo
Externí odkaz:
https://doaj.org/article/8e791366ae2347fda66adbff0e59eb85