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Update README.md
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‎README.md‎

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@@ -7,18 +7,21 @@ you are welcome to read (and modify) the source. Any suggestions on how to make
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code more readable or make it better are welcome. However, my main goal is to keep
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it simple and readability will be preferred over small speed improvements.
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It does not require any external libraries.
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The tools contained are:
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* number theory: sqrt modulo primes, crt, continued fractions, etc.
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* primes: Sieve of Erathostenes, primality tests
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* number theory: sqrt modulo primes, Jacobi/Legendre symbol, Chinese Remainder Theorem, continued fractions, etc.
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* primes: Sieve of Erathostenes, primality tests, generation of random safe/strong primes
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* solvers for discrete logarithms (naive, Pollard rho, Shanks baby step/giant step, index calculus, quadratic sieve)
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* integer factorization (Fermat, Pollard p-1, Lenstra's ECM, Dixon, basic quadratic sieve)
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* elliptic curves (Weierstrass form), group operations, order, discrete logarithms
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* linear algebra: Hermite normal form, Gram-Schmidt
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* lattices: Babai rounding/nearest plane, lattice reduction
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* lattices: Hadamard ratio, Babai rounding/nearest plane algorithm, lattice reduction (Lenstra-Lenstra-Lovaz)
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* Matrix: a class for Matrices (inverse, det, reduced echelon form, etc.)
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* Poly: a class for polynomials (division, modulo)
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* Zmod: a class for the ring of integers modulo an integer
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Documentation can be found in the jupyter notebook
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(currently incomplete: use the force, read the source).
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(mostly done, but might not contain everything: use the force, read the source).

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