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AAECC
2000
Springer

On Short Multiplications and Divisions

13 years 10 months ago
On Short Multiplications and Divisions
Computing only the low degree terms of the product of two univariate polynomials is called a short multiplication. By decomposition into subproblems, a short multiplication can be reduced to appropriate addition of the results of a number of full multiplications. In this paper a new way of choosing the size of the subproblems is proposed. Computing the quotient of two polynomials is called a short division. The ideas used in the short multiplication algorithm are transferred to an algorithm for short divisions. Finally, several applications of short multiplications and divisions are pointed out.
Thom Mulders
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2000
Where AAECC
Authors Thom Mulders
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