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The Chinese Remainder Theorem

13 févr. 2017 The Chinese Remainder Theorem says that systems of congruences ... The problem of polynomial interpolation is suprisingly similar to the ...



Chinese remainder theorem and its applications

In this manuscript the Chinese Remainder Theorem will be introduced as the 3.3 Chinese Remainder Theorem for Polynomial Rings.



THE CHINESE REMAINDER THEOREM We should thank the

With this in mind we get the following two generalizations from squares to values of other polynomials. Theorem 4.12. Let f(x) be a polynomial with integer 



Constructing Ideal Secret Sharing Schemes based on Chinese

threshold SS scheme based on the Chinese Remainder Theorem (CRT) based on the CRT for polynomial ring over a finite field. We show that.



COMPUTING HILBERT CLASS POLYNOMIALS WITH THE

13 juil. 2009 CHINESE REMAINDER THEOREM. ANDREW V. SUTHERLAND. Abstract. We present a space-efficient algorithm to compute the Hilbert class polynomial ...



Computing class polynomials with the Chinese Remainder Theorem

19 nov. 2008 Class Invariants. Computing Hilbert class polynomials. Three algorithms. 1. Complex analytic. 2 p-adic. 3. Chinese Remainder Theorem (CRT).



Robust Polynomial Reconstruction via Chinese Remainder

23 mars 2017 code with non-pairwise coprime moduli a polynomial with degree ... level robust Chinese remainder theorem (CRT) for polynomials



Computing modular polynomials with the Chinese Remainder

Chinese Remainder Theorem These algorithms all rely on modular polynomials ?l(XY). ... The symmetric polynomial ?l ? Z[X



MULTIDIGIT MODULAR MULTIPLICATION WITH THE EXPLICIT

18 mai 1995 Chinese Remainder Theorem which says exactly how u differs from a particular ... Everything here has a polynomial.



COMPUTING HILBERT CLASS POLYNOMIALS WITH THE

17 mai 2010 WITH THE CHINESE REMAINDER THEOREM ... polynomial Hd(X) modulo a positive integer P ... is the Hubert class polynomial for the discrim.