Information on Result #1192812
Digital (141, 169, 149797)-net over F8, using net defined by OOA based on linear OOA(8169, 149797, F8, 28, 28) (dual of [(149797, 28), 4194147, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(8169, 2097158, F8, 28) (dual of [2097158, 2096989, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, 2097159, F8, 28) (dual of [2097159, 2096990, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(8169, 2097152, F8, 28) (dual of [2097152, 2096983, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8162, 2097152, F8, 27) (dual of [2097152, 2096990, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(8169, 2097159, F8, 28) (dual of [2097159, 2096990, 29]-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 (142, 170, 149797)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (143, 171, 149797)-net over F8 | [i] | ||