Information on Result #667509
Linear OA(2789, 531625, F27, 19) (dual of [531625, 531536, 20]-code), using (u, u+v)-construction based on
- linear OA(2716, 183, F27, 9) (dual of [183, 167, 10]-code), using
- an extension Ce(8) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2773, 531442, F27, 19) (dual of [531442, 531369, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(2789, 59069, F27, 19, 19) (dual of [(59069, 19), 1122222, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |