Information on Result #1194426
Digital (82, 105, 5370)-net over F9, using net defined by OOA based on linear OOA(9105, 5370, F9, 23, 23) (dual of [(5370, 23), 123405, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(9105, 59071, F9, 23) (dual of [59071, 58966, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9105, 59074, F9, 23) (dual of [59074, 58969, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- 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(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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([0,11]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(9105, 59074, F9, 23) (dual of [59074, 58969, 24]-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 (83, 106, 5370)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (84, 107, 5370)-net over F9 | [i] | ||
| 3 | Digital (85, 108, 5370)-net over F9 | [i] | ||