Table 2.
The ratio comparison of the computed coefficients of the proposed recurrence algorithm.
| Krawtchouk Parameter (p) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.05, 0.95 |
0.1, 0.9 |
0.15, 0.85 |
0.2, 0.8 |
0.25, 0.75 |
0.3, 0.7 |
0.35, 0.65 |
0.4, 0.6 |
0.45, 0.55 |
0.5 | ||
| Polynomial size (N) | 1024 | 10.03 | 13.31 | 15.56 | 17.24 | 18.52 | 19.51 | 20.24 | 20.75 | 21.05 | 21.16 |
| 2048 | 9.48 | 12.74 | 14.99 | 16.68 | 17.97 | 18.96 | 19.69 | 20.20 | 20.50 | 20.60 | |
| 3072 | 9.25 | 12.51 | 14.76 | 16.45 | 17.74 | 18.73 | 19.47 | 19.97 | 20.27 | 20.38 | |
| 4096 | 9.13 | 12.38 | 14.63 | 16.32 | 17.61 | 18.60 | 19.34 | 19.85 | 20.14 | 20.24 | |
| 5120 | 9.05 | 12.30 | 14.54 | 16.23 | 17.53 | 18.52 | 19.25 | 19.76 | 20.06 | 20.16 | |
| 6144 | 8.99 | 12.24 | 14.48 | 16.17 | 17.47 | 18.46 | 19.19 | 19.70 | 20.00 | 20.10 | |
| 7168 | 8.95 | 12.19 | 14.44 | 16.13 | 17.42 | 18.41 | 19.15 | 19.65 | 19.95 | 20.05 | |
| 8192 | 8.91 | 12.15 | 14.40 | 16.09 | 17.38 | 18.38 | 19.11 | 19.62 | 19.92 | 20.02 | |
| Average | 9.22 | 12.48 | 14.73 | 16.41 | 17.71 | 18.70 | 19.43 | 19.94 | 20.24 | 20.34 | |