Information on Result #1200312
Digital (12, 19, 39217)-net over F49, using net defined by OOA based on linear OOA(4919, 39217, F49, 7, 7) (dual of [(39217, 7), 274500, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(4919, 117652, F49, 7) (dual of [117652, 117633, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(4919, 117649, F49, 7) (dual of [117649, 117630, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(4916, 117649, F49, 6) (dual of [117649, 117633, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
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 (15, 22, 39267)-net over F49 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (16, 23, 41619)-net over F49 | [i] | ||
| 3 | Digital (17, 24, 45167)-net over F49 | [i] | ||