Information on Result #1182310
Digital (121, 146, 342)-net over F2, using net defined by OOA based on linear OOA(2146, 342, F2, 25, 25) (dual of [(342, 25), 8404, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2146, 4105, F2, 25) (dual of [4105, 3959, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2146, 4109, F2, 25) (dual of [4109, 3963, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2145, 4096, F2, 25) (dual of [4096, 3951, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2133, 4096, F2, 23) (dual of [4096, 3963, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(2146, 4109, F2, 25) (dual of [4109, 3963, 26]-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 (122, 147, 342)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (123, 148, 342)-net over F2 | [i] | ||
| 3 | Digital (124, 149, 342)-net over F2 | [i] | ||