Information on Result #1188234
Digital (35, 42, 130211)-net over F5, using net defined by OOA based on linear OOA(542, 130211, F5, 7, 7) (dual of [(130211, 7), 911435, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(542, 390634, F5, 7) (dual of [390634, 390592, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(542, 390635, F5, 7) (dual of [390635, 390593, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(541, 390625, F5, 7) (dual of [390625, 390584, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(59, 10, F5, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,5)), using
- dual of repetition code with length 10 [i]
- linear OA(51, 10, F5, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(542, 390635, F5, 7) (dual of [390635, 390593, 8]-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 (36, 43, 130211)-net over F5 | [i] | Net Duplication | |