Information on Result #671409
Linear OA(12826, 16514, F128, 11) (dual of [16514, 16488, 12]-code), using (u, u+v)-construction based on
- linear OA(1285, 129, F128, 5) (dual of [129, 124, 6]-code or 129-arc in PG(4,128)), using
- extended Reed–Solomon code RSe(124,128) [i]
- linear OA(12821, 16385, F128, 11) (dual of [16385, 16364, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(12826, 8257, F128, 2, 11) (dual of [(8257, 2), 16488, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12826, 3302, F128, 11, 11) (dual of [(3302, 11), 36296, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |