Information on Result #1189162
Digital (57, 75, 349)-net over F5, using net defined by OOA based on linear OOA(575, 349, F5, 18, 18) (dual of [(349, 18), 6207, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(575, 3141, F5, 18) (dual of [3141, 3066, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(575, 3144, F5, 18) (dual of [3144, 3069, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(575, 3144, F5, 18) (dual of [3144, 3069, 19]-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 (58, 76, 349)-net over F5 | [i] | Net Duplication | |