Information on Result #1842163
(39, 70, 4369)-net in base 128, using net defined by OOA based on OOA(12870, 4369, S128, 31, 31), using
- OOA 15-folding and stacking with additional row [i] based on OA(12870, 65536, S128, 31), using
- discarding factors based on OA(12870, 65538, S128, 31), using
- discarding parts of the base [i] based on linear OA(25661, 65538, F256, 31) (dual of [65538, 65477, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(25661, 65536, F256, 31) (dual of [65536, 65475, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- discarding parts of the base [i] based on linear OA(25661, 65538, F256, 31) (dual of [65538, 65477, 32]-code), using
- discarding factors based on OA(12870, 65538, S128, 31), 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 | (40, 70, 4369)-net in base 128 | [i] | t-Expansion | |
| 2 | (40, 71, 4369)-net in base 128 | [i] | Net Duplication | |
| 3 | (39, 69, 4369)-net in base 128 | [i] | m-Reduction | |