Information on Result #1192416
Digital (110, 131, 209718)-net over F8, using net defined by OOA based on linear OOA(8131, 209718, F8, 21, 21) (dual of [(209718, 21), 4403947, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(8131, 2097181, F8, 21) (dual of [2097181, 2097050, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8131, 2097185, F8, 21) (dual of [2097185, 2097054, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(8127, 2097153, F8, 21) (dual of [2097153, 2097026, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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([0,10]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8131, 2097185, F8, 21) (dual of [2097185, 2097054, 22]-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 (111, 132, 209718)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (112, 133, 209718)-net over F8 | [i] | ||