Information on Result #1192556
Digital (122, 145, 190653)-net over F8, using net defined by OOA based on linear OOA(8145, 190653, F8, 23, 23) (dual of [(190653, 23), 4384874, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8145, 2097184, F8, 23) (dual of [2097184, 2097039, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, 2097185, F8, 23) (dual of [2097185, 2097040, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- linear OA(8141, 2097153, F8, 23) (dual of [2097153, 2097012, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(8113, 2097153, F8, 19) (dual of [2097153, 2097040, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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 C([0,11]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8145, 2097185, F8, 23) (dual of [2097185, 2097040, 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 (123, 146, 190653)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (124, 147, 190653)-net over F8 | [i] | ||