Information on Result #1186628
Digital (83, 100, 8194)-net over F4, using net defined by OOA based on linear OOA(4100, 8194, F4, 17, 17) (dual of [(8194, 17), 139198, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4100, 65553, F4, 17) (dual of [65553, 65453, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4100, 65555, F4, 17) (dual of [65555, 65455, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(497, 65536, F4, 17) (dual of [65536, 65439, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(481, 65536, F4, 14) (dual of [65536, 65455, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4100, 65555, F4, 17) (dual of [65555, 65455, 18]-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 (84, 100, 8194)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (84, 101, 8194)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (83, 99, 8194)-net over F4 | [i] | m-Reduction | |