Information on Result #1200498
Digital (18, 28, 23530)-net over F49, using net defined by OOA based on linear OOA(4928, 23530, F49, 10, 10) (dual of [(23530, 10), 235272, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(4928, 117650, F49, 10) (dual of [117650, 117622, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4928, 117652, F49, 10) (dual of [117652, 117624, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4925, 117649, F49, 9) (dual of [117649, 117624, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(4928, 117652, F49, 10) (dual of [117652, 117624, 11]-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 (23, 33, 23580)-net over F49 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (24, 34, 23581)-net over F49 | [i] | ||
| 3 | Digital (25, 35, 24706)-net over F49 | [i] | ||