Information on Result #806186
Linear OOA(256, 63, F2, 2, 18) (dual of [(63, 2), 70, 19]-NRT-code), using OOA 2-folding based on linear OA(256, 126, F2, 18) (dual of [126, 70, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(256, 127, F2, 18) (dual of [127, 71, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,15], 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(256, 63, F2, 2, 17) (dual of [(63, 2), 70, 18]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(256, 60, F2, 3, 18) (dual of [(60, 3), 124, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(256, 60, F2, 4, 18) (dual of [(60, 4), 184, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(256, 60, F2, 5, 18) (dual of [(60, 5), 244, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(256, 60, F2, 6, 18) (dual of [(60, 6), 304, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(256, 60, F2, 7, 18) (dual of [(60, 7), 364, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(256, 60, F2, 8, 18) (dual of [(60, 8), 424, 19]-NRT-code) | [i] | ||
| 8 | Digital (38, 56, 60)-net over F2 | [i] | ||