Ersan Akyıldız

Department of Mathematics
Data sharing under confidentiality
Başer, Erdem; Hülagu, Timur; Akyıldız, Ersan; Bilgen, Adnan; Cenk, Murat; Keskinkurt-paksoy, İrem; Kestel, Sevtap Ayşe (2018-08-31)
Central Bank of the Republic of Turkey presents an approach to address the data sharing dilemma of maximizing the benefit for academic research while ensuring compliance with applicable data confidentiality legislations. T...
Improved Contract Signing Protocol Based on Certificateless Hybrid Verifiably Encrypted Signature Scheme
Sever, Ömer; Akyıldız, Ersan (2015-11-02)
An Overview fo Discrete Log and Trace Based Public Key Cryptography on Finite Fileds
Akyıldız, Ersan (null; 2015-08-25)
Hybrid Non Repudiation Protocol with Pairing Based Cryptography
Sever, Ömer; Akyıldız, Ersan (null; 2015-05-11)
An overview of trace based public key cryptography over finite fields
Akyıldız, Ersan (2014-03-15)
The Discrete Log Problem (DLP), that is computing x, given y = alpha(x) and (alpha) = G subset of F-q*, based Public Key Cryptosystem (PKC) have been studied since the late 1970's. Such development of PKC was possible beca...
Storage free basis conversion over composite finite fields of odd characteristics
Sial, M Riaz; Akyıldız, Ersan (null; 2013-09-19)
We study the Finite Fields of type Fq, q = p2pn from the efficient implementation point of view. We found that we can represent these fields with irreducible polynomials in the form f(x) = xp − x − a. By using this represe...
Betti Numbers of Smooth Schubert Varieties and the Remarkable Formula of Kostant, Macdonald, Shapiro, and Steinberg
Akyıldız, Ersan (2012-01-01)
The purpose of this note is to give a refinement of the product formula proved in [1] for the Poincare polynomial of a smooth Schubert variety in the flag variety of an algebraic group G over C. This yields a factorization...
Congressional contributions to Computational and Applied Mathematics Preface
Goovaerts, Marc J.; Gebizlioglu, Omer L.; BAYRAMOĞLU, İSMİHAN; Akyıldız, Ersan (2011-06-15)
PKI lite A PKI system with limited resources
Akyıldız, Ersan; Yayla, Oğuz (null; 2007-12-13)
The aim of this study is to give some ideas about how to construct a PKI system with limited resources. Such a PKI system can be applied for some compact organizations which don’t have requirements for comply...
Scalar multiplication on elliptic curves
Akyıldız, Ersan; Yayla, Oğuz (null; 2006-12-15)
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