Information on Result #1096666
Linear OOA(2183, 3276, F2, 5, 27) (dual of [(3276, 5), 16197, 28]-NRT-code), using OOA 5-folding based on linear OA(2183, 16380, F2, 27) (dual of [16380, 16197, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(2183, 3061, F2, 6, 27) (dual of [(3061, 6), 18183, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2183, 3061, F2, 7, 27) (dual of [(3061, 7), 21244, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(2183, 3061, F2, 8, 27) (dual of [(3061, 8), 24305, 28]-NRT-code) | [i] | ||
| 4 | Digital (156, 183, 3061)-net over F2 | [i] | ||