Information on Result #1186652
Digital (107, 124, 131074)-net over F4, using net defined by OOA based on linear OOA(4124, 131074, F4, 17, 17) (dual of [(131074, 17), 2228134, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4124, 1048593, F4, 17) (dual of [1048593, 1048469, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4124, 1048597, F4, 17) (dual of [1048597, 1048473, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(16) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4124, 1048597, F4, 17) (dual of [1048597, 1048473, 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 (108, 125, 131074)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (107, 123, 131074)-net over F4 | [i] | m-Reduction | |