Information on Result #1187082
Digital (148, 169, 419432)-net over F4, using net defined by OOA based on linear OOA(4169, 419432, F4, 21, 21) (dual of [(419432, 21), 8807903, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4169, 4194321, F4, 21) (dual of [4194321, 4194152, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4169, 4194325, F4, 21) (dual of [4194325, 4194156, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4144, 4194304, F4, 18) (dual of [4194304, 4194160, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4169, 4194325, F4, 21) (dual of [4194325, 4194156, 22]-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 (149, 170, 419432)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (148, 168, 419432)-net over F4 | [i] | m-Reduction | |