Information on Result #1194424
Digital (79, 102, 5369)-net over F9, using net defined by OOA based on linear OOA(9102, 5369, F9, 23, 23) (dual of [(5369, 23), 123385, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(9102, 59060, F9, 23) (dual of [59060, 58958, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9102, 59061, F9, 23) (dual of [59061, 58959, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [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(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(9102, 59061, F9, 23) (dual of [59061, 58959, 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 (80, 103, 5369)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (81, 104, 5369)-net over F9 | [i] | ||