Binary Additive Counter Stream Ciphers
1 Introduction
2 Possible attacks and design criteria
3 Example 1: the Legendre cipher
4 Example 2: the two-prime cipher
5 Conclusions and concluding remarks
References
Partial Difference Sets from Quadratic Forms and p-ary Weakly
Regular Bent Functions
1 Introduction
2 Partial difference sets from quadratic forms and uniform
cyclotomy
3 Partial difference sets from weakly regular p-ary bent
functions..
References
Governing Fields of the 4-rank of K20o~.~ as p Varies
1 Introduction
2 The governing field of the 4-rank of K20F
3 The governing field of the 8-rank of K20F
References
Word-oriented Linear Feedback Shift Registers: a-LFSRs
1 Introduction
2 Model of a-LFSR
3 Cryptographic properties
4 a-LFSRs suitable for software implementation
5 Application of a-LFSRs
6 Conclusion
References
Statistics of Zeros of Families of L-functions over Function
Fields: A Survey
1 Introduction
2 Hyperelliptic curves
3 Cyclic-fold covers of the projective line
4 Elliptic curves over a rational function field and
generalizations
5 Concluding remarks
References
Lectures on p-adic Zeta Functions and ч, г-modules
1 Introduction
2 Continuous functions, measures and distributions over Zp
3 The p-adic zeta function of Kubota-Leopoldt
4 ч, г-modules and Galois cohomology
5 ч,г-modules and Iwasawa theory
References
Conjectures and Results on x2 mod p2 with 4p = x2 + dy2
1 Introduction
2 Using Apery polynomials and products of three binomial
coefficients
3 Using the polynomials
4 Using the function
5 Using the function
6 Using
7 Miscellaneous things
References
Harmonic Weak Maass Forms, Automorphic Green Functions, and Period
Integrals
1 Introduction
2 Shimura varieties of orthogonal type and their Kudla cycles
3 Harmonic weak Maass forms, regularized theta lifting, and
automorphic Green functions
4 Eisenstein series associated to coherent and incoherent
quadratic spaces
5 Period integrals of the automorphic Green function φz, h; f
6 Big CM values of automorphic Green functions
References
Some Recent Progress in Higher Koszulity
1 Preliminaries
2 Higher Koszulity
3 Higher Koszul complexes
4 Hilbert and Poincare series
5 Dual algebras and Ext-algebras
6 Generalized d-Koszul modules
7 Lattice distributivity and Koszulity
8 More related topics
References
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