Information on Result #805919
Linear OOA(257, 128, F2, 2, 15) (dual of [(128, 2), 199, 16]-NRT-code), using OOA 2-folding based on linear OA(257, 256, F2, 15) (dual of [256, 199, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, 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(257, 111, F2, 3, 15) (dual of [(111, 3), 276, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(257, 111, F2, 4, 15) (dual of [(111, 4), 387, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(257, 111, F2, 5, 15) (dual of [(111, 5), 498, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(257, 111, F2, 6, 15) (dual of [(111, 6), 609, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(257, 111, F2, 7, 15) (dual of [(111, 7), 720, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(257, 111, F2, 8, 15) (dual of [(111, 8), 831, 16]-NRT-code) | [i] | ||
| 7 | Digital (42, 57, 111)-net over F2 | [i] | ||