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<p>In this paper, we propose a carefully optimized “half-gcd” algorithm for polynomials. We achieve a constant speed-up with respect to previous work for the asymptotic time complexity. We also discuss special optimizations that are possible when polynomial multiplication is done using radix two FFTs.</p>

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Optimizing the half-gcd algorithm

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Joris van der Hoeven

摘要

In this paper, we propose a carefully optimized “half-gcd” algorithm for polynomials. We achieve a constant speed-up with respect to previous work for the asymptotic time complexity. We also discuss special optimizations that are possible when polynomial multiplication is done using radix two FFTs.