Information on Result #808308
Linear OOA(2176, 512, F2, 2, 37) (dual of [(512, 2), 848, 38]-NRT-code), using OOA 2-folding based on linear OA(2176, 1024, F2, 37) (dual of [1024, 848, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(2176, 423, F2, 3, 37) (dual of [(423, 3), 1093, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2176, 423, F2, 4, 37) (dual of [(423, 4), 1516, 38]-NRT-code) | [i] | ||
| 3 | Linear OOA(2176, 423, F2, 5, 37) (dual of [(423, 5), 1939, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(2176, 423, F2, 6, 37) (dual of [(423, 6), 2362, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(2176, 423, F2, 7, 37) (dual of [(423, 7), 2785, 38]-NRT-code) | [i] | ||
| 6 | Linear OOA(2176, 423, F2, 8, 37) (dual of [(423, 8), 3208, 38]-NRT-code) | [i] | ||
| 7 | Digital (139, 176, 423)-net over F2 | [i] | ||