Information on Result #1187056
Digital (118, 139, 26216)-net over F4, using net defined by OOA based on linear OOA(4139, 26216, F4, 21, 21) (dual of [(26216, 21), 550397, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4139, 262161, F4, 21) (dual of [262161, 262022, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4139, 262165, F4, 21) (dual of [262165, 262026, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(4139, 262165, F4, 21) (dual of [262165, 262026, 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 (119, 139, 26216)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (119, 140, 26216)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (118, 138, 26216)-net over F4 | [i] | m-Reduction | |