Information on Result #1187758
Digital (220, 250, 279623)-net over F4, using net defined by OOA based on linear OOA(4250, 279623, F4, 30, 30) (dual of [(279623, 30), 8388440, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(4250, 4194345, F4, 30) (dual of [4194345, 4194095, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4250, 4194347, F4, 30) (dual of [4194347, 4194097, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(4250, 4194347, F4, 30) (dual of [4194347, 4194097, 31]-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 (221, 251, 279623)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (222, 252, 279623)-net over F4 | [i] | ||
| 3 | Digital (223, 253, 279623)-net over F4 | [i] | ||
| 4 | Digital (224, 254, 279623)-net over F4 | [i] | ||