Information on Result #806426
Linear OOA(2100, 512, F2, 2, 20) (dual of [(512, 2), 924, 21]-NRT-code), using OOA 2-folding based on linear OA(2100, 1024, F2, 20) (dual of [1024, 924, 21]-code), using
- 1 times truncation [i] based on linear OA(2101, 1025, F2, 21) (dual of [1025, 924, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
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(2100, 367, F2, 3, 20) (dual of [(367, 3), 1001, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2100, 367, F2, 4, 20) (dual of [(367, 4), 1368, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(2100, 367, F2, 5, 20) (dual of [(367, 5), 1735, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(2100, 367, F2, 6, 20) (dual of [(367, 6), 2102, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(2100, 367, F2, 7, 20) (dual of [(367, 7), 2469, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(2100, 367, F2, 8, 20) (dual of [(367, 8), 2836, 21]-NRT-code) | [i] | ||
| 7 | Digital (80, 100, 367)-net over F2 | [i] | ||