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Lower Bound of the Complexity of Functions over Finite Field of Order 4 in the Class of Polarized Polynomials

Известия Иркутского государственного университета: Серия "Математика", 2016
The representations, including polynomial, of functions over final fields have been actively investigated. The complexity of such representations is the main stream of research.
A. Baliuk, A.S. Zinchenko
doaj  

On Upper Bound of the Complexity of Quasi Polynomial Representations of Functions over Finite Fields

Известия Иркутского государственного университета: Серия "Математика", 2014
Representations of functions over finite fields, including polynomial representations, are being actively investigated. The complexity of such representations is one of main directions of research.
A.S. Baliuk
doaj  

Security of the cryptosystems based on ergodic matrices

Tongxin xuebao, 2015
The security of the public-key cryptosystems based on ergodicmatrices over finite field was analysed.According to the public key,a system of linear equations for the forged secret key bits is obtained by inverse matrix elimination method.It is proved ...
Hua-wei HUANG, Chang-wen PENG, Yun-yun QU, Chun-hua LI   +3 more
doaj  

Hybrid Vigenere and elliptic curve cryptography technique over the finite field [Formula: see text]. [PDF]

Sci Rep
El Bourakkadi H, Tabti H, Chemlal A, Abid A, Jarjar A, Benazzi A.   +5 more
europepmc   +1 more source

Machine Learning Accelerated Finite-Field Simulations for Electrochemical Interfaces. [PDF]

JACS Au
Feng C, Jiang B.
europepmc   +1 more source

The groups of points on abelian varieties over finite fields

Open Mathematics, 2010
Rybakov Sergey
doaj   +1 more source

Field-Driven Proton Transport in Water Revealed by Machine Learning Molecular Dynamics. [PDF]

Adv Sci (Weinh)
van Hees A, Zhang ZY, Andersson L, Zhang C.   +3 more
europepmc   +1 more source

A fabrication-aware vectorized generative representation for topology optimization of path-defined MEMS microstructures. [PDF]

Microsyst Nanoeng
Liu GZ, Zhao LF, Zhang J, Liu X, Lv YM, Geng TY, Zhou ZF.   +6 more
europepmc   +1 more source

Finite-Size Effects in Nonlocal Metasurfaces. [PDF]

ACS Photonics
Hoekstra T, Mann SA, van de Groep J.
europepmc   +1 more source

Finite-Aperture Ultrasound Field Reproduction in Coarse-Grid FDTD via Operator-Consistent Source Reduction. [PDF]

Bioengineering (Basel)
Zhang H, Xu Y, Yan W, Wu Y, Guo X, Zhou X, Zhang P, Li Z, Tan H, Zeng J, Qiu W, Cai C, Ding M, Yuchi M.   +13 more
europepmc   +1 more source