Information on Result #1192204
Digital (79, 98, 29128)-net over F8, using net defined by OOA based on linear OOA(898, 29128, F8, 19, 19) (dual of [(29128, 19), 553334, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(898, 262153, F8, 19) (dual of [262153, 262055, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(898, 262158, F8, 19) (dual of [262158, 262060, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(897, 262145, F8, 19) (dual of [262145, 262048, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(885, 262145, F8, 17) (dual of [262145, 262060, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(898, 262158, F8, 19) (dual of [262158, 262060, 20]-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 (80, 99, 29128)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (81, 100, 29128)-net over F8 | [i] | ||