A course in computational algebraic number theory
Explore this paper's citation graph
Summary
The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods.
- Type
- book
- Published
- 1993-01-01
- Cited by
- 3,338
- References
- 0
- OpenAlex
- https://openalex.org/W1496801598
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:118037646
Keywords
Computer science, Course (navigation), Cryptography, Subject (documents), Theoretical computer science
References
Cited by
- Lagrange's Theorem On The Minimal Set Of Squares
- Arithmétique modulaire pour la cryptographie
- Primality Tests on Commutator Curves
- Quantum Fourier transforms for extracting hidden linear structures in finite fields
- GCD of truncated rows in Pascal's triangle.
- Explicit upper bound for the average number of divisors of irreducible quadratic polynomials
- On cyclotomic primality tests
- On Lattice Methods in Integer Optimization
- Reflections on the number of field sieve
- Irreducibility Certicates for Polynomials with Integer Coecien ts
- Computational number theory at CWI in 1970--1994
- Algoritmos de álgebra conmutativa en anillos de polinomios
- Parallel State Space Search for SAT with Lagrange Programming Neural Network
- Evaluating elliptic curve based KEMs in the light of pairings
- Average lang-trotter conjecture for 2 elliptic curves
- A zero-dimensional approach to compute real radicals
- Commutative group codes in ℝ4, ℝ6, ℝ8 and ℝ16 - Approaching the bound
- Enumerating Quartic Dihedral Extensions of ℚ
- Complexity of an extended lattice reduction algorithm
- Polynomial Selection for the Number Field Sieve Integer Factorisation Algorithm
Related papers
- Course Organisers: Course Organisers: Course Organisers: Course Organisers
- A Course Is a Course, of Course?
- Revamping an English for Specific Academic Purposes Course for Problem-Based Learning: Reflections from Course Developers
- The Effect of Golf Course's Environmental Orientation on Golf Course Image and Consumer Attitude
- Cellular Automata in Cryptographic Random Generators
- Boolean Functions for Cryptography and Coding Theory