Information on Result #1198376
Digital (66, 89, 48313)-net over F27, using net defined by OOA based on linear OOA(2789, 48313, F27, 23, 23) (dual of [(48313, 23), 1111110, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2789, 531444, F27, 23) (dual of [531444, 531355, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 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 (67, 90, 48313)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (77, 100, 48341)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (78, 101, 48351)-net over F27 | [i] | ||
| 4 | Digital (79, 102, 48361)-net over F27 | [i] | ||
| 5 | Digital (80, 103, 48365)-net over F27 | [i] | ||
| 6 | Digital (81, 104, 48377)-net over F27 | [i] | ||
| 7 | Digital (82, 105, 48381)-net over F27 | [i] | ||
| 8 | Digital (83, 106, 48389)-net over F27 | [i] | ||
| 9 | Digital (84, 107, 48395)-net over F27 | [i] | ||
| 10 | Digital (85, 108, 48399)-net over F27 | [i] | ||
| 11 | Digital (86, 109, 48409)-net over F27 | [i] | ||
| 12 | Digital (87, 110, 48459)-net over F27 | [i] | ||
| 13 | (82, 105, 48413)-net in base 27 | [i] | ||
| 14 | (84, 107, 48429)-net in base 27 | [i] | ||
| 15 | (86, 109, 48463)-net in base 27 | [i] | ||