Information on Result #1181964
Digital (136, 157, 3280)-net over F2, using net defined by OOA based on linear OOA(2157, 3280, F2, 21, 21) (dual of [(3280, 21), 68723, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2157, 32801, F2, 21) (dual of [32801, 32644, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(2151, 32769, F2, 21) (dual of [32769, 32618, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2121, 32769, F2, 17) (dual of [32769, 32648, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
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, 157, 3280)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (137, 158, 3280)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (138, 159, 3280)-net over F2 | [i] | ||
| 4 | Digital (139, 160, 3280)-net over F2 | [i] | ||