Information on Result #1186722
Digital (87, 105, 7282)-net over F4, using net defined by OOA based on linear OOA(4105, 7282, F4, 18, 18) (dual of [(7282, 18), 130971, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(4105, 65538, F4, 18) (dual of [65538, 65433, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4105, 65544, F4, 18) (dual of [65544, 65439, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(497, 65536, F4, 17) (dual of [65536, 65439, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(4105, 65544, F4, 18) (dual of [65544, 65439, 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 (88, 106, 7282)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (96, 114, 7287)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (97, 115, 7291)-net over F4 | [i] | ||
| 4 | Digital (98, 116, 7292)-net over F4 | [i] | ||
| 5 | Digital (99, 117, 7296)-net over F4 | [i] | ||