Tato práce se zabývá efektivními algoritmy pro násobení polynomů, konkrétně algoritmy Karatsuba, Toom-Cook a Rychlá Fourierova transformace. Mimo jiné se práce zaměřuje na paralelizaci těchto algoritmů v jazyce C++ za použití knihovny OpenMP. V práci je dále provedeno měření skutečné efektivity a numerické stability implementovaných algoritmů.This thesis deals with efficient algorithms used for polynomial multiplication, particular with algorithms Karatsuba, Toom-Cook and Fast Fourier transform. Among other things this thesis focuses on parallelization of these algorithms in programming language C++ using OpenMP library. There is also testing of real effectiveness and numerical stability of implemented algorithms
In this paper we present a hardware-software hybrid technique for modular multiplication over large ...
The work is concerned with the power increase methods of the microprocessors. The aim of the work is...
We present an algorithm allowing to perform integer multiplications by constants. This algorithm is ...
Bakalářská práce se zabývá vybranými algoritmy pro násobení polynomů, zejména Karatsubova a Schönhag...
Tato práce se zabývá návrhem knihovny pro násobení polynomů. Cílem této práce je vzájemné porovnání ...
Praca obejmuje podstawowe zagadnienia algorytmiki komputerowej oraz oparte na tej dziedzinie metody ...
Polynomial multiplication is a key algorithm underlying computer algebra systems (CAS) and its effic...
AbstractThis paper examines the most efficient known serial and parallel algorithms for multiplying ...
Tato práce obsahuje přehled algoritmů pro řešení FFT. Zabývá se podrobně Bluesteinovým, Cooleyovým-T...
The idea of Public Key Cryptography showed up after the studies conducted by W. Diffie and M. Hellma...
International audienceWe propose a new algorithm for multiplying dense polynomials with integer coef...
We present a new parallel algorithm for the fast generation of discrete Chebyshev polynomials. By fa...
International audienceHomomorphic encryption schemes allow performing computations in the ciphertext...
The main goal of this research is to use OpenMP, Posix Threads and Microsoft Parallel Patterns libra...
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently us...
In this paper we present a hardware-software hybrid technique for modular multiplication over large ...
The work is concerned with the power increase methods of the microprocessors. The aim of the work is...
We present an algorithm allowing to perform integer multiplications by constants. This algorithm is ...
Bakalářská práce se zabývá vybranými algoritmy pro násobení polynomů, zejména Karatsubova a Schönhag...
Tato práce se zabývá návrhem knihovny pro násobení polynomů. Cílem této práce je vzájemné porovnání ...
Praca obejmuje podstawowe zagadnienia algorytmiki komputerowej oraz oparte na tej dziedzinie metody ...
Polynomial multiplication is a key algorithm underlying computer algebra systems (CAS) and its effic...
AbstractThis paper examines the most efficient known serial and parallel algorithms for multiplying ...
Tato práce obsahuje přehled algoritmů pro řešení FFT. Zabývá se podrobně Bluesteinovým, Cooleyovým-T...
The idea of Public Key Cryptography showed up after the studies conducted by W. Diffie and M. Hellma...
International audienceWe propose a new algorithm for multiplying dense polynomials with integer coef...
We present a new parallel algorithm for the fast generation of discrete Chebyshev polynomials. By fa...
International audienceHomomorphic encryption schemes allow performing computations in the ciphertext...
The main goal of this research is to use OpenMP, Posix Threads and Microsoft Parallel Patterns libra...
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently us...
In this paper we present a hardware-software hybrid technique for modular multiplication over large ...
The work is concerned with the power increase methods of the microprocessors. The aim of the work is...
We present an algorithm allowing to perform integer multiplications by constants. This algorithm is ...