Information on Result #1187182
Digital (163, 185, 381305)-net over F4, using net defined by OOA based on linear OOA(4185, 381305, F4, 22, 22) (dual of [(381305, 22), 8388525, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(4185, 4194355, F4, 22) (dual of [4194355, 4194170, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4185, 4194356, F4, 22) (dual of [4194356, 4194171, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4133, 4194304, F4, 17) (dual of [4194304, 4194171, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(48, 52, F4, 4) (dual of [52, 44, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(4185, 4194356, F4, 22) (dual of [4194356, 4194171, 23]-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 (164, 186, 381305)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (165, 187, 381305)-net over F4 | [i] | ||