Information on Result #947967
Linear OOA(2228, 1365, F2, 3, 38) (dual of [(1365, 3), 3867, 39]-NRT-code), using OOA 3-folding based on linear OA(2228, 4095, F2, 38) (dual of [4095, 3867, 39]-code), using
- 1 times truncation [i] based on linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using
- an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(2228, 1280, F2, 4, 38) (dual of [(1280, 4), 4892, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2228, 1280, F2, 5, 38) (dual of [(1280, 5), 6172, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(2228, 1280, F2, 6, 38) (dual of [(1280, 6), 7452, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(2228, 1280, F2, 7, 38) (dual of [(1280, 7), 8732, 39]-NRT-code) | [i] | ||
| 5 | Linear OOA(2228, 1280, F2, 8, 38) (dual of [(1280, 8), 10012, 39]-NRT-code) | [i] | ||
| 6 | Digital (190, 228, 1280)-net over F2 | [i] | ||