Information on Result #1182160
Digital (136, 159, 1491)-net over F2, using net defined by OOA based on linear OOA(2159, 1491, F2, 23, 23) (dual of [(1491, 23), 34134, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2159, 16402, F2, 23) (dual of [16402, 16243, 24]-code), using
- 3 times code embedding in larger space [i] based on linear OA(2156, 16399, F2, 23) (dual of [16399, 16243, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2141, 16384, F2, 21) (dual of [16384, 16243, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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(22) ⊂ Ce(20) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(2156, 16399, F2, 23) (dual of [16399, 16243, 24]-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, 159, 1491)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (137, 160, 1491)-net over F2 | [i] | Net Duplication | |