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Karatsuba multiplication with temporary space of size ≤ n

Abstract

We describe in this short note how it is possible to perform a Karatsuba multiplication of two polynomials of degree n − 1 using a buffer holding at most n − 1 coefficients if n is even, and n coefficients if n is odd. This method is valid for any n (in other words, when n ≥ 2). Similar results can be obtained for the Karatsuba squaring.
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Dates and versions

hal-02396734 , version 1 (06-12-2019)

Identifiers

  • HAL Id : hal-02396734 , version 1

Cite

Emmanuel Thomé. Karatsuba multiplication with temporary space of size ≤ n. 2002. ⟨hal-02396734⟩
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