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Polynomial multiplication on Fq[x]/<x^n + 1>

11.13Running Time (ms)Karatsuba
2.0787663.17463124.2705185.36637May 17, 2026

Evaluation results

MethodLinks
Karatsuban=256, q=8380381, ell_max=1, d=1282026.0511.13
Hybridn=256, q=8380381, ell_max=1, d=1282026.0511.13
Hybridn=256, q=8380403, ell_max=0, d=2562026.0514.182
Toom-4n=256, q=8380381, ell_max=1, d=1282026.0515.405
Karatsuban=256, q=8380403, ell_max=0, d=2562026.0516.722
Karatsuban=512, q=8380249, ell_max=2, d=1282026.0522.812
Hybridn=512, q=8380249, ell_max=2, d=1282026.0522.812
Hybridn=512, q=8380381, ell_max=1, d=2562026.0528.998
Toom-4n=512, q=8380249, ell_max=2, d=1282026.0531.415
Toom-4n=256, q=8380403, ell_max=0, d=2562026.0532.873
Karatsuban=512, q=8380381, ell_max=1, d=2562026.0533.975
Hybridn=512, q=8380403, ell_max=0, d=5122026.0536.901
Karatsuban=1024, q=8380369, ell_max=3, d=1282026.0545.749
Hybridn=1024, q=8380369, ell_max=3, d=1282026.0545.749
Karatsuban=512, q=8380403, ell_max=0, d=5122026.0550.738
Toom-4n=512, q=8380403, ell_max=0, d=5122026.0557.431
Hybridn=1024, q=8380249, ell_max=2, d=2562026.0558.385
Toom-4n=1024, q=8380369, ell_max=3, d=1282026.0563.358
Toom-4n=512, q=8380381, ell_max=1, d=2562026.0566.562
Karatsuban=1024, q=8380249, ell_max=2, d=2562026.0568.567
Hybridn=1024, q=8380381, ell_max=1, d=5122026.0574.587
Karatsuban=1024, q=8380381, ell_max=1, d=5122026.05101.967
Hybridn=1024, q=8380403, ell_max=0, d=10242026.05104.767
Toom-4n=1024, q=8380381, ell_max=1, d=5122026.05114.807
Toom-4n=1024, q=8380249, ell_max=2, d=2562026.05133.386
Karatsuban=1024, q=8380403, ell_max=0, d=10242026.05152.838
Toom-4n=1024, q=8380403, ell_max=0, d=10242026.05237.411