Information on Result #1840551
(71, 100, 1170)-net in base 16, using net defined by OOA based on OOA(16100, 1170, S16, 29, 29), using
- OOA 14-folding and stacking with additional row [i] based on OA(16100, 16381, S16, 29), using
- discarding factors based on OA(16100, 16386, S16, 29), using
- discarding parts of the base [i] based on linear OA(12857, 16386, F128, 29) (dual of [16386, 16329, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- discarding parts of the base [i] based on linear OA(12857, 16386, F128, 29) (dual of [16386, 16329, 30]-code), using
- discarding factors based on OA(16100, 16386, S16, 29), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (72, 100, 1170)-net in base 16 | [i] | t-Expansion | |
| 2 | (72, 101, 1170)-net in base 16 | [i] | Net Duplication | |
| 3 | (73, 102, 1170)-net in base 16 | [i] | ||
| 4 | (71, 99, 1170)-net in base 16 | [i] | m-Reduction | |