Information on Result #1181346
Digital (121, 138, 16386)-net over F2, using net defined by OOA based on linear OOA(2138, 16386, F2, 17, 17) (dual of [(16386, 17), 278424, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2138, 131089, F2, 17) (dual of [131089, 130951, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, 131090, F2, 17) (dual of [131090, 130952, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(2137, 131072, F2, 17) (dual of [131072, 130935, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2120, 131072, F2, 15) (dual of [131072, 130952, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 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(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2138, 131090, F2, 17) (dual of [131090, 130952, 18]-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, 138, 16386)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (122, 139, 16386)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (123, 140, 16386)-net over F2 | [i] | ||
| 4 | Digital (124, 141, 16386)-net over F2 | [i] | ||
| 5 | Digital (125, 142, 16386)-net over F2 | [i] | ||