Linked e-resources
Details
Table of Contents
Intro
Preface
Organization
Abstracts of Invited Talks
Weighted Automata Over Monotonic Strong Bimonoids: Decidability and Undecidability of Finite Image
Constraints, Graphs, Algebra, Logic, and Complexity
Contents
Invited Papers
Chaining Multiplications in Finite Fields with Chudnovsky-Type Algorithms and Tensor Rank of the k-Multiplication
1 Introduction
1.1 Context, Notation and Basic Results
1.2 New Results and Organisation
2 Theoretical Construction of a Multiplying Algorithm
2.1 Notations
2.2 Algorithm
3 On the Existence of These Algorithms
3.1 Strategy of Construction
3.2 Towers of Algebraic Function Fields
4 Uniform Upper Bounds
References
On Some Algebraic Ways to Calculate Zeros of the Riemann Zeta Function
1 The Riemann Hypothesis
2 The Riemann Hypothesis in the Arithmetical Hierarchy
3 Calculation of the Zeta Zeros by Solving Algebraic Equations
4 Calculation of Summands from Dirichlet Series for the Zeta Function at Its Zeros
References
Shuffle Product of Regular Languages: Results and Open Problems
1 Introduction
2 Shuffle and Recognition
2.1 Shuffle Product
2.2 Monoids and Ordered Monoids
2.3 Power Monoids and Lower Set Monoids
3 Classes of Languages Closed Under Shuffle
3.1 Varieties of Languages Closed Under Shuffle
3.2 Positive Varieties of Languages Closed Under Shuffle
3.3 Intermixed Languages
4 Sequential and Parallel Decompositions
4.1 Definitions and Examples
4.2 Closure Properties
4.3 Schnoebelen's Problem
5 Conclusion
References
Contributed Papers
Ordering the Boolean Cube Vectors by Their Weights and with Minimal Change
1 Introduction
2 Basic Notions and Preliminary Results
3 Ordering the Vectors of the Boolean Cube by Their Weights and with Minimal Change
4 Algorithm for Generating the Vectors of the Boolean Cube Ordered by Weights and with Minimal Change
5 Conclusions
References
Designated-Verifier Linkable Ring Signatures with Unconditional Anonymity
1 Introduction
2 Preliminaries
2.1 Notation
2.2 Security Assumptions
3 UDVLRS Definition and Security Model
3.1 UDVLRS Definition
3.2 Correctness
3.3 Adversarial Capabilities
3.4 Unforgeability
3.5 Anonymity
3.6 Non-transferability
3.7 Linkability
3.8 Non-slanderability
4 Our Construction
5 Security Analysis
6 Conclusion and Future Work
References
Finding Points on Elliptic Curves with Coppersmith's Method
1 Introduction
2 Preliminaries
2.1 Some ECC Cryptosystems
2.2 Lattice Basis Reduction and Coppersmith's Method
3 Small Solutions of the Elliptic Curve Equation
4 A Numerical Example
5 Conclusion
References
Weighted Propositional Configuration Logic over De Morgan Algebras
1 Introduction
2 Related Work
3 Preliminaries
4 Unweighted PCL
5 Weighted PCL over De Morgan Algebras
Preface
Organization
Abstracts of Invited Talks
Weighted Automata Over Monotonic Strong Bimonoids: Decidability and Undecidability of Finite Image
Constraints, Graphs, Algebra, Logic, and Complexity
Contents
Invited Papers
Chaining Multiplications in Finite Fields with Chudnovsky-Type Algorithms and Tensor Rank of the k-Multiplication
1 Introduction
1.1 Context, Notation and Basic Results
1.2 New Results and Organisation
2 Theoretical Construction of a Multiplying Algorithm
2.1 Notations
2.2 Algorithm
3 On the Existence of These Algorithms
3.1 Strategy of Construction
3.2 Towers of Algebraic Function Fields
4 Uniform Upper Bounds
References
On Some Algebraic Ways to Calculate Zeros of the Riemann Zeta Function
1 The Riemann Hypothesis
2 The Riemann Hypothesis in the Arithmetical Hierarchy
3 Calculation of the Zeta Zeros by Solving Algebraic Equations
4 Calculation of Summands from Dirichlet Series for the Zeta Function at Its Zeros
References
Shuffle Product of Regular Languages: Results and Open Problems
1 Introduction
2 Shuffle and Recognition
2.1 Shuffle Product
2.2 Monoids and Ordered Monoids
2.3 Power Monoids and Lower Set Monoids
3 Classes of Languages Closed Under Shuffle
3.1 Varieties of Languages Closed Under Shuffle
3.2 Positive Varieties of Languages Closed Under Shuffle
3.3 Intermixed Languages
4 Sequential and Parallel Decompositions
4.1 Definitions and Examples
4.2 Closure Properties
4.3 Schnoebelen's Problem
5 Conclusion
References
Contributed Papers
Ordering the Boolean Cube Vectors by Their Weights and with Minimal Change
1 Introduction
2 Basic Notions and Preliminary Results
3 Ordering the Vectors of the Boolean Cube by Their Weights and with Minimal Change
4 Algorithm for Generating the Vectors of the Boolean Cube Ordered by Weights and with Minimal Change
5 Conclusions
References
Designated-Verifier Linkable Ring Signatures with Unconditional Anonymity
1 Introduction
2 Preliminaries
2.1 Notation
2.2 Security Assumptions
3 UDVLRS Definition and Security Model
3.1 UDVLRS Definition
3.2 Correctness
3.3 Adversarial Capabilities
3.4 Unforgeability
3.5 Anonymity
3.6 Non-transferability
3.7 Linkability
3.8 Non-slanderability
4 Our Construction
5 Security Analysis
6 Conclusion and Future Work
References
Finding Points on Elliptic Curves with Coppersmith's Method
1 Introduction
2 Preliminaries
2.1 Some ECC Cryptosystems
2.2 Lattice Basis Reduction and Coppersmith's Method
3 Small Solutions of the Elliptic Curve Equation
4 A Numerical Example
5 Conclusion
References
Weighted Propositional Configuration Logic over De Morgan Algebras
1 Introduction
2 Related Work
3 Preliminaries
4 Unweighted PCL
5 Weighted PCL over De Morgan Algebras