Information on Result #1205221
Digital (57, 63, large)-net over F4, using trace code for nets based on digital (15, 21, 2796201)-net over F64, using
- net defined by OOA [i] based on linear OOA(6421, 2796201, F64, 6, 6) (dual of [(2796201, 6), 16777185, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (58, 63, large)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (59, 63, large)-net over F4 | [i] | ||
| 3 | Digital (60, 63, large)-net over F4 | [i] | ||
| 4 | Digital (58, 64, large)-net over F4 | [i] | Net Duplication | |
| 5 | Digital (59, 65, large)-net over F4 | [i] | ||
| 6 | Digital (60, 66, large)-net over F4 | [i] | ||
| 7 | Digital (61, 67, large)-net over F4 | [i] | ||
| 8 | Digital (62, 68, large)-net over F4 | [i] | ||
| 9 | Digital (63, 69, large)-net over F4 | [i] | ||
| 10 | Digital (64, 70, large)-net over F4 | [i] | ||
| 11 | Digital (65, 71, large)-net over F4 | [i] | ||
| 12 | Digital (66, 72, large)-net over F4 | [i] | ||
| 13 | Digital (67, 73, large)-net over F4 | [i] | ||
| 14 | Digital (68, 74, large)-net over F4 | [i] | ||
| 15 | Digital (57, 62, large)-net over F4 | [i] | m-Reduction | |
| 16 | Digital (57, 61, large)-net over F4 | [i] | ||
| 17 | Digital (57, 60, large)-net over F4 | [i] | ||