Information on Result #2625539
Linear OOA(3192, 68, F3, 3, 138) (dual of [(68, 3), 12, 139]-NRT-code), using strength reduction based on linear OOA(3192, 68, F3, 3, 139) (dual of [(68, 3), 12, 140]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(2713, 17, F27, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), 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(2713, 17, F27, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,27)), 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(3189, 67, F3, 3, 135) (dual of [(67, 3), 12, 136]-NRT-code) | [i] | Truncation for OOAs | |