Information on Result #945419
Linear OOA(284, 1365, F2, 3, 14) (dual of [(1365, 3), 4011, 15]-NRT-code), using OOA 3-folding based on linear OA(284, 4095, F2, 14) (dual of [4095, 4011, 15]-code), using
- 1 times truncation [i] based on linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(284, 1229, F2, 4, 14) (dual of [(1229, 4), 4832, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(284, 1229, F2, 5, 14) (dual of [(1229, 5), 6061, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(284, 1229, F2, 6, 14) (dual of [(1229, 6), 7290, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(284, 1229, F2, 7, 14) (dual of [(1229, 7), 8519, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(284, 1229, F2, 8, 14) (dual of [(1229, 8), 9748, 15]-NRT-code) | [i] | ||
| 6 | Digital (70, 84, 1229)-net over F2 | [i] | ||