Information on Result #806437
Linear OOA(2115, 1032, F2, 2, 20) (dual of [(1032, 2), 1949, 21]-NRT-code), using OOA 2-folding based on linear OA(2115, 2064, F2, 20) (dual of [2064, 1949, 21]-code), using
- 1 times truncation [i] based on linear OA(2116, 2065, F2, 21) (dual of [2065, 1949, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(2111, 2049, F2, 21) (dual of [2049, 1938, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(289, 2049, F2, 17) (dual of [2049, 1960, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2115, 695, F2, 3, 20) (dual of [(695, 3), 1970, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2115, 695, F2, 4, 20) (dual of [(695, 4), 2665, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(2115, 695, F2, 5, 20) (dual of [(695, 5), 3360, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(2115, 695, F2, 6, 20) (dual of [(695, 6), 4055, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(2115, 695, F2, 7, 20) (dual of [(695, 7), 4750, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(2115, 695, F2, 8, 20) (dual of [(695, 8), 5445, 21]-NRT-code) | [i] | ||
| 7 | Digital (95, 115, 695)-net over F2 | [i] | ||