Information on Result #912826
Linear OOA(3197, 112, F3, 2, 119) (dual of [(112, 2), 27, 120]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2719, 28, F27, 19) (dual of [28, 9, 20]-code or 28-arc in PG(18,27)), using
- extended Reed–Solomon code RSe(9,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(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(3197, 112, F3, 2, 118) (dual of [(112, 2), 27, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3197, 112, F3, 2, 117) (dual of [(112, 2), 27, 118]-NRT-code) | [i] |