Information on Result #1192774
Digital (139, 166, 161321)-net over F8, using net defined by OOA based on linear OOA(8166, 161321, F8, 27, 27) (dual of [(161321, 27), 4355501, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(8166, 2097174, F8, 27) (dual of [2097174, 2097008, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(8166, 2097177, F8, 27) (dual of [2097177, 2097011, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(8162, 2097152, F8, 27) (dual of [2097152, 2096990, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8141, 2097152, F8, 23) (dual of [2097152, 2097011, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(8166, 2097177, F8, 27) (dual of [2097177, 2097011, 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 (140, 167, 161321)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (141, 168, 161321)-net over F8 | [i] | ||