Information on Result #1187202
Digital (114, 137, 5958)-net over F4, using net defined by OOA based on linear OOA(4137, 5958, F4, 23, 23) (dual of [(5958, 23), 136897, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(4137, 65539, F4, 23) (dual of [65539, 65402, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4137, 65544, F4, 23) (dual of [65544, 65407, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4137, 65544, F4, 23) (dual of [65544, 65407, 24]-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 (125, 148, 5963)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (126, 149, 5967)-net over F4 | [i] | ||
| 3 | Digital (127, 150, 5968)-net over F4 | [i] | ||
| 4 | Digital (128, 151, 5972)-net over F4 | [i] | ||
| 5 | Digital (129, 152, 5973)-net over F4 | [i] | ||
| 6 | Digital (130, 153, 5975)-net over F4 | [i] | ||