Information on Result #671167
Linear OA(12874, 16767, F128, 27) (dual of [16767, 16693, 28]-code), using (u, u+v)-construction based on
- linear OA(12821, 382, F128, 13) (dual of [382, 361, 14]-code), using
- an extension Ce(12) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12853, 16385, F128, 27) (dual of [16385, 16332, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [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(12874, 5589, F128, 3, 27) (dual of [(5589, 3), 16693, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12874, 1289, F128, 27, 27) (dual of [(1289, 27), 34729, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |