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| def invmod(n, p): | |
| if n >=p : | |
| q, r = divmod(n, p) | |
| if r == 0: | |
| raise ValueError("xxx") | |
| else: | |
| n = r | |
| if n == 1: return 1 | |
| q, r = divmod(p, n) |
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| def extend_gcd(a, b): | |
| if a < b: | |
| a, b = b, a | |
| r = np.array([[1, 0], [0, 1]]) | |
| while 1: | |
| quotient, remainder = divmod(a, b) | |
| # r = a - quotient * b | |
| # np.array([a,b]) @ np.array([0, 1]) = b; 相当于a = b | |
| # |
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| def base64_unit(input_bytes): | |
| base64_chars = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/" | |
| padding = {1: 2, 2: 1, 0: 0}[len(input_bytes) % 3] | |
| while len(input_bytes) < 3: | |
| input_bytes += b'\x00' | |
| num = int.from_bytes(input_bytes, byteorder='big') | |
| o = [] | |
| count = 0 |
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| import socket | |
| import select | |
| import os | |
| import fcntl | |
| import threading | |
| buffer_size = 1024 | |
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| import socket | |
| import os | |
| import array | |
| def send_fd(sock, fd): | |
| """Send a file descriptor to another process via a Unix domain socket.""" | |
| fds = array.array("i", [fd]) | |
| sock.sendmsg([b"x"], [(socket.SOL_SOCKET, socket.SCM_RIGHTS, fds)]) |
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| import socket | |
| import select | |
| def test(): | |
| c = socket.socket(socket.AF_INET, socket.SOCK_STREAM) | |
| c.connect(("", 8877)) | |
| c.send(b"hello world") |
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| ### SIDH | |
| ### https://nbviewer.org/url/defeo.lu/docet/assets/jupyter/2018-03-22-PostScryptum.ipynb | |
| p = 431 | |
| F.<i> = GF(p^2, modulus=x^2+1) | |
| E = EllipticCurve(F, [1, 0]) | |
| E.order() == (p+1)^2 |
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| import random | |
| import hashlib | |
| p = 2**256-2**32-977 | |
| g = 2 | |
| sk = random.randint(1, p-1) | |
| pk = pow(g, sk, p) | |
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| from sage.stats.distributions.discrete_gaussian_lattice import DiscreteGaussianDistributionLatticeSampler | |
| def test_lwe(n, p, sigma, size=100): | |
| F = GF(p) | |
| a = random_vector(F, n) | |
| HALF_P = int(p/2) | |
| s = random_vector(F,n) | |
| p41 = int(p/4) | |
| p43 = int(p*3/4) | |
| D = DiscreteGaussianDistributionLatticeSampler(F^1, sigma) |
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| import numpy as np | |
| P = next_prime(2^256) | |
| N = 64 | |
| k = 16 | |
| BOUND = 32 | |
| HALF_P = int(P/2+0.5) | |
| R.<x> = PolynomialRing(GF(P), 'x') |
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