Information on Result #1194602
Digital (98, 125, 4544)-net over F9, using net defined by OOA based on linear OOA(9125, 4544, F9, 27, 27) (dual of [(4544, 27), 122563, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(9125, 59073, F9, 27) (dual of [59073, 58948, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9125, 59074, F9, 27) (dual of [59074, 58949, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- discarding factors / shortening the dual code based on linear OA(9125, 59074, F9, 27) (dual of [59074, 58949, 28]-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 (99, 126, 4544)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (100, 127, 4544)-net over F9 | [i] | ||