Information on Result #3184849
Digital (151, 175, 1368)-net over F2, using t-expansion based on digital (150, 175, 1368)-net over F2, using
- net defined by OOA [i] based on linear OOA(2175, 1368, F2, 25, 25) (dual of [(1368, 25), 34025, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2175, 16417, F2, 25) (dual of [16417, 16242, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2169, 16385, F2, 25) (dual of [16385, 16216, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2141, 16385, F2, 21) (dual of [16385, 16244, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,12]) ⊂ C([0,10]) [i] based on
- OOA 12-folding and stacking with additional row [i] based on linear OA(2175, 16417, F2, 25) (dual of [16417, 16242, 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 (152, 176, 1368)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (153, 177, 1368)-net over F2 | [i] | ||
| 3 | Digital (154, 178, 1368)-net over F2 | [i] | ||
| 4 | Digital (155, 179, 1368)-net over F2 | [i] | ||