Information on Result #1186752
Digital (120, 138, 116513)-net over F4, using net defined by OOA based on linear OOA(4138, 116513, F4, 18, 18) (dual of [(116513, 18), 2097096, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(4138, 1048617, F4, 18) (dual of [1048617, 1048479, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4138, 1048619, F4, 18) (dual of [1048619, 1048481, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(4138, 1048619, F4, 18) (dual of [1048619, 1048481, 19]-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 (121, 139, 116513)-net over F4 | [i] | Net Duplication | |