Information on Result #1187774
Digital (155, 186, 4370)-net over F4, using net defined by OOA based on linear OOA(4186, 4370, F4, 31, 31) (dual of [(4370, 31), 135284, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(4186, 65551, F4, 31) (dual of [65551, 65365, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4186, 65553, F4, 31) (dual of [65553, 65367, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(41, 17, F4, 1) (dual of [17, 16, 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(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(4186, 65553, F4, 31) (dual of [65553, 65367, 32]-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 (156, 187, 4370)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (157, 188, 4370)-net over F4 | [i] | ||
| 3 | Digital (158, 189, 4370)-net over F4 | [i] | ||
| 4 | Digital (159, 190, 4370)-net over F4 | [i] | ||
| 5 | Digital (175, 206, 4387)-net over F4 | [i] | (u, u+v)-Construction for Nets | |