16th IEEE Symposium on Computer Arithmetic (ARITH-16 '03)
A Less Recursive Variant of Karatsuba-Ofman Algorithm for Multiplying Operands of Size a Power of Two
Santiago de Compostela, Spain
June 15-June 18
ISBN: 0-7695-1894-X
We propose a new algorithm for fast multiplication of large integers having a precision of 2k computer words, where k is an integer. The algorithm is derived from the Karatsuba-Ofman Algorithm and has the same asymptotic complexity. However, the running time of the new algorithm is slightly better, and it makes one third as many recursive calls.
Citation:
Serdar S. Erdem, Çetin K. Koç, "A Less Recursive Variant of Karatsuba-Ofman Algorithm for Multiplying Operands of Size a Power of Two," arith, pp.28, 16th IEEE Symposium on Computer Arithmetic (ARITH-16 '03), 2003