Information on Result #1196830
Digital (64, 86, 35512)-net over F25, using net defined by OOA based on linear OOA(2586, 35512, F25, 22, 22) (dual of [(35512, 22), 781178, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(2586, 390632, F25, 22) (dual of [390632, 390546, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2586, 390634, F25, 22) (dual of [390634, 390548, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(2586, 390634, F25, 22) (dual of [390634, 390548, 23]-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 (65, 87, 35512)-net over F25 | [i] | Net Duplication | |
| 2 | Digital (79, 101, 35578)-net over F25 | [i] | (u, u+v)-Construction for Nets | |