Information on Result #1782170
Digital (198, 227, 524326)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4227, 524326, F4, 2, 29) (dual of [(524326, 2), 1048425, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4227, 1048652, F4, 29) (dual of [1048652, 1048425, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4226, 1048651, F4, 29) (dual of [1048651, 1048425, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(415, 75, F4, 7) (dual of [75, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4226, 1048651, F4, 29) (dual of [1048651, 1048425, 30]-code), using
Mode: 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 (199, 228, 524326)-net over F4 | [i] | Net Duplication | |