Information on Result #1187906
Digital (220, 254, 61682)-net over F4, using net defined by OOA based on linear OOA(4254, 61682, F4, 34, 34) (dual of [(61682, 34), 2096934, 35]-NRT-code), using
- OA 17-folding and stacking [i] based on linear OA(4254, 1048594, F4, 34) (dual of [1048594, 1048340, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4254, 1048597, F4, 34) (dual of [1048597, 1048343, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- linear OA(4251, 1048576, F4, 34) (dual of [1048576, 1048325, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(33) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(4254, 1048597, F4, 34) (dual of [1048597, 1048343, 35]-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, 255, 61682)-net over F4 | [i] | Net Duplication | |