Information on Result #1187488
Digital (168, 194, 80661)-net over F4, using net defined by OOA based on linear OOA(4194, 80661, F4, 26, 26) (dual of [(80661, 26), 2096992, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(4194, 1048593, F4, 26) (dual of [1048593, 1048399, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4194, 1048597, F4, 26) (dual of [1048597, 1048403, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(4191, 1048576, F4, 26) (dual of [1048576, 1048385, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(4194, 1048597, F4, 26) (dual of [1048597, 1048403, 27]-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 (169, 195, 80661)-net over F4 | [i] | Net Duplication | |