Information on Result #912508
Linear OOA(3147, 84, F3, 2, 87) (dual of [(84, 2), 21, 88]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2721, 28, F27, 21) (dual of [28, 7, 22]-code or 28-arc in PG(20,27)), using
- extended Reed–Solomon code RSe(7,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OOA(33, 3, F3, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,3) [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(3147, 84, F3, 2, 86) (dual of [(84, 2), 21, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3147, 84, F3, 2, 85) (dual of [(84, 2), 21, 86]-NRT-code) | [i] | ||
| 3 | Linear OOA(3147, 42, F3, 4, 87) (dual of [(42, 4), 21, 88]-NRT-code) | [i] | OOA Folding | |