Information on Result #806196
Linear OOA(268, 127, F2, 2, 18) (dual of [(127, 2), 186, 19]-NRT-code), using OOA 2-folding based on linear OA(268, 254, F2, 18) (dual of [254, 186, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(268, 255, F2, 18) (dual of [255, 187, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(268, 116, F2, 3, 18) (dual of [(116, 3), 280, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(268, 116, F2, 4, 18) (dual of [(116, 4), 396, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(268, 116, F2, 5, 18) (dual of [(116, 5), 512, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(268, 116, F2, 6, 18) (dual of [(116, 6), 628, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(268, 116, F2, 7, 18) (dual of [(116, 7), 744, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(268, 116, F2, 8, 18) (dual of [(116, 8), 860, 19]-NRT-code) | [i] | ||
| 7 | Digital (50, 68, 116)-net over F2 | [i] | ||