Information on Result #1181700
Digital (136, 155, 14565)-net over F2, using net defined by OOA based on linear OOA(2155, 14565, F2, 19, 19) (dual of [(14565, 19), 276580, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2155, 131086, F2, 19) (dual of [131086, 130931, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2155, 131090, F2, 19) (dual of [131090, 130935, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(2154, 131072, F2, 19) (dual of [131072, 130918, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(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(18) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(2155, 131090, F2, 19) (dual of [131090, 130935, 20]-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 (137, 155, 14565)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (137, 156, 14565)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (138, 157, 14565)-net over F2 | [i] | ||
| 4 | Digital (139, 158, 14565)-net over F2 | [i] | ||