Information on Result #1186014
Digital (55, 64, 262149)-net over F4, using net defined by OOA based on linear OOA(464, 262149, F4, 9, 9) (dual of [(262149, 9), 2359277, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(464, 1048597, F4, 9) (dual of [1048597, 1048533, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(461, 1048576, F4, 9) (dual of [1048576, 1048515, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(441, 1048576, F4, 6) (dual of [1048576, 1048535, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(8) ⊂ Ce(5) [i] based on
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 (56, 65, 262149)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (55, 63, 262149)-net over F4 | [i] | m-Reduction | |