Information on Result #1186476
Digital (97, 112, 149799)-net over F4, using net defined by OOA based on linear OOA(4112, 149799, F4, 15, 15) (dual of [(149799, 15), 2246873, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(4112, 1048594, F4, 15) (dual of [1048594, 1048482, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4112, 1048597, F4, 15) (dual of [1048597, 1048485, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(41, 21, F4, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(4112, 1048597, F4, 15) (dual of [1048597, 1048485, 16]-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 (98, 113, 149799)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (99, 114, 149799)-net over F4 | [i] | ||
| 3 | Digital (105, 120, 149808)-net over F4 | [i] | (u, u+v)-Construction for Nets | |