Information on Result #1186376
Digital (57, 71, 2341)-net over F4, using net defined by OOA based on linear OOA(471, 2341, F4, 14, 14) (dual of [(2341, 14), 32703, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(471, 16387, F4, 14) (dual of [16387, 16316, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(471, 16391, F4, 14) (dual of [16391, 16320, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(471, 16391, F4, 14) (dual of [16391, 16320, 15]-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, 72, 2341)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (64, 78, 2346)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (65, 79, 2350)-net over F4 | [i] | ||
| 4 | Digital (66, 80, 2351)-net over F4 | [i] | ||