Information on Result #1192968
Digital (127, 163, 1822)-net over F8, using net defined by OOA based on linear OOA(8163, 1822, F8, 36, 36) (dual of [(1822, 36), 65429, 37]-NRT-code), using
- OA 18-folding and stacking [i] based on linear OA(8163, 32796, F8, 36) (dual of [32796, 32633, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(8163, 32800, F8, 36) (dual of [32800, 32637, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(29) [i] based on
- linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(35) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(8163, 32800, F8, 36) (dual of [32800, 32637, 37]-code), using
Mode: Constructive and linear.
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 | Digital (128, 164, 1822)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (129, 165, 1822)-net over F8 | [i] | ||
| 3 | Digital (130, 166, 1822)-net over F8 | [i] | ||