Titlebook: Open Problems in Mathematics and Computational Science; Çetin Kaya Koç Book 2014 Springer International Publishing Switzerland 2014 Coding

FRET

Malleable

Book 2014search and discussion in the mathematical and computational sciences community, and the book will be of value to postgraduate students and researchers in the areas of theoretical computer science, discrete mathematics, engineering, and cryptology..

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The Past, Evolving Present, and Future of the Discrete Logarithm, this is the case for the multiplicative groups of finite fields with medium to large characteristic and for the additive group of a general elliptic curve..This chapter presents a survey of the state of the art concerning discrete logarithms and their computation.

分解

On Semi-bent Functions and Related Plateaued Functions Over the Galois Field ,,functions has attracted the attention of several researchers. Much progress in the design of such functions has been made. The chapter is devoted to certain plateaued functions. The focus is particularly on semi-bent functions defined over the Galois field . (. even). We review what is known in this framework and investigate constructions.

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Phagocytes

A Panorama of Post-quantum Cryptography,ystems, and hash functions. Here we introduce the essential notions related to each of these schemes and explore the state of the art on practical aspects of their adoption and deployment, like key sizes and cryptogram/signature bandwidth overhead.

Constant

思想

审问,审讯

Open Problems for Polynomials over Finite Fields and Applications,polynomials. The conjectures here are more practically oriented. Finally, we give brief descriptions of a selection of open problems from several areas including factorization of polynomials, special polynomials (APN functions, permutations), and relations between rational integers and polynomials.

Contracture

Membrane Computing: Basics and Frontiers, also discussing open problems and research topics. Several central classes of computing models (called P systems) are considered: cell-like P systems with symbol objects processed by means of multiset rewriting rules, symport/antiport P systems, P systems with active membranes, spiking neural P systems, and numerical P systems.