Information on Result #2622724
Linear OOA(3138, 48, F3, 3, 108) (dual of [(48, 3), 6, 109]-NRT-code), using strength reduction based on linear OOA(3138, 48, F3, 3, 109) (dual of [(48, 3), 6, 110]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(2710, 12, F27, 10) (dual of [12, 2, 11]-code or 12-arc in PG(9,27)), using
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- Reed–Solomon code RS(17,27) [i]
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- linear OOA(39, 4, F3, 3, 9) (dual of [(4, 3), 3, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,3) [i]
- linear OA(2710, 12, F27, 10) (dual of [12, 2, 11]-code or 12-arc in PG(9,27)), using
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(3136, 47, F3, 3, 106) (dual of [(47, 3), 5, 107]-NRT-code) | [i] | Truncation for OOAs | |