Results 21 to 30 of about 385,070 (322)

New Constructions of balanced Boolean functions with maximum algebraic immunity, high nonlinearity and optimal algebraic degree

open access: yesWalailak Journal of Science and Technology, 2019
This paper consists of proposal of two constructions of balanced Boolean functions by using powers of primitive elements ...
Dheeraj Kumar Sharma, Rajoo Pandey
doaj   +1 more source

Good Codes From Generalised Algebraic Geometry Codes [PDF]

open access: yes, 2010
Algebraic geometry codes or Goppa codes are defined with places of degree one. In constructing generalised algebraic geometry codes places of higher degree are used.
Ahmed, Mohammed Zaki   +3 more
core   +3 more sources

Lower bounds on the class number of algebraic function fields defined over any finite field [PDF]

open access: yes, 2011
We give lower bounds on the number of effective divisors of degree $\leq g-1$ with respect to the number of places of certain degrees of an algebraic function field of genus $g$ defined over a finite field.
Ballet, Stéphane, Rolland, Robert
core   +2 more sources

Degree and class of caustics by reflection for a generic source [PDF]

open access: yes, 2013
We are interested in the study of caustics by reflection of irreducible algebraic planar curves (in the complex projective plane). We prove the birationality of the caustic map (for a generic light position).
Josse, Alfrederic, Pene, Francoise
core   +5 more sources

Algorithmic Degrees of Algebraic Structures

open access: yesFundamenta Informaticae, 1981
We define a reducibility relation ⩽ between algebraic structures A ⩽ B means that A can be embeddet in an enrichment of B with partial computable operations. This notion is a generalized version of implementability as known in the theory of algebraic data types.
Bergstra, J.A., Tiuryn, J.
openaire   +2 more sources

Constructing Odd-Variable Rotation Symmetric Boolean Functions With Optimal AI and Higher Nonlinearity

open access: yesIEEE Access, 2019
As a part of the field of cryptography, rotation symmetric Boolean functions have rich cryptographic significance. In this paper, based on the knowledge of integer compositions, we present a new construction of odd-variable rotation symmetric Boolean ...
Yindong Chen   +3 more
doaj   +1 more source

Algebraic Degrees of 3-Dimensional Polytopes

open access: yesVietnam Journal of Mathematics, 2022
AbstractResults of Koebe (Ber. Sächs. Akad. Wiss. Leipzig, Math.-phys. Kl. 88, 141–164, 1936), Schramm (Invent. Math. 107(3), 543560, 1992), and Springborn (Math. Z. 249, 513–517, 2005) yield realizations of 3-polytopes with edges tangent to the unit sphere. Here we study the algebraic degrees of such realizations.
Mara Belotti   +2 more
openaire   +5 more sources

On the Generalization of Butterfly Structure

open access: yesIACR Transactions on Symmetric Cryptology, 2018
Butterfly structure was proposed in CRYPTO 2016 [PUB16], and it can generate permutations ...
Yongqiang Li   +3 more
doaj   +1 more source

Point counting for foliations over number fields

open access: yesForum of Mathematics, Pi, 2022
Let${\mathbb M}$ be an affine variety equipped with a foliation, both defined over a number field ${\mathbb K}$. For an algebraic $V\subset {\mathbb M}$ over ${\mathbb K}$, write $\delta _{V}$ for the maximum of the degree and log-height of V.
Gal Binyamini
doaj   +1 more source

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