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Open Problems in Mathematics and Computational Science [electronic resource] / edited by �Cetin Kaya Ko�c.

Contributor(s): Ko�c, �Cetin Kaya [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: VIII, 439 p. 91 illus., 12 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319106830.Subject(s): Computer science | Data structures (Computer science) | Computers | Computer science -- Mathematics | Computer mathematics | Computer Science | Data Structures, Cryptology and Information Theory | Theory of Computation | Mathematics of Computing | Computational Mathematics and Numerical AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 005.74 Online resources: Click here to access online
Contents:
About Open Problems -- The Past, Evolving Present, and Future of the Discrete Logarithm -- Isogenies in Theory and Praxis -- Another Look at Security Theorems for 1-Key Nested MACs -- Non-extendable Fq-Quadratic Perfect Nonlinear Maps -- Open Problems for Polynomials over Finite Fields and Applications -- Generating Good Span n Sequences Using Orthogonal Functions in Nonlinear Feedback Shift Registers -- Open Problems on the Crosscorrelation of m-Sequences -- Open Problems on With-Carry Sequence Generators -- Open Problems on Binary Bent Functions -- On Semi-bent functions and Related Plateaued Functions over the Galois field F2n -- True Random Number Generators -- How to Sign Paper Contracts? Conjectures and Evidence Related to Equitable and Efficient Collaborative Task Scheduling -- Theoretical Parallel Computing Models for GPU Computing -- Membrane Computing: Basics and Frontiers -- A Panorama of Post-quantum Cryptography.
In: Springer eBooksSummary: This book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs, and then by suggesting creative solutions.   The authors feel a strong motivation to excite deep research 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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About Open Problems -- The Past, Evolving Present, and Future of the Discrete Logarithm -- Isogenies in Theory and Praxis -- Another Look at Security Theorems for 1-Key Nested MACs -- Non-extendable Fq-Quadratic Perfect Nonlinear Maps -- Open Problems for Polynomials over Finite Fields and Applications -- Generating Good Span n Sequences Using Orthogonal Functions in Nonlinear Feedback Shift Registers -- Open Problems on the Crosscorrelation of m-Sequences -- Open Problems on With-Carry Sequence Generators -- Open Problems on Binary Bent Functions -- On Semi-bent functions and Related Plateaued Functions over the Galois field F2n -- True Random Number Generators -- How to Sign Paper Contracts? Conjectures and Evidence Related to Equitable and Efficient Collaborative Task Scheduling -- Theoretical Parallel Computing Models for GPU Computing -- Membrane Computing: Basics and Frontiers -- A Panorama of Post-quantum Cryptography.

This book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs, and then by suggesting creative solutions.   The authors feel a strong motivation to excite deep research 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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