Information on Result #1191872
Digital (81, 96, 299597)-net over F8, using net defined by OOA based on linear OOA(896, 299597, F8, 15, 15) (dual of [(299597, 15), 4493859, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(896, 2097180, F8, 15) (dual of [2097180, 2097084, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(896, 2097184, F8, 15) (dual of [2097184, 2097088, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,8)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(896, 2097184, F8, 15) (dual of [2097184, 2097088, 16]-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 (82, 97, 299597)-net over F8 | [i] | Net Duplication | |