Information on Result #2670439
Linear OOA(293, 36, F2, 3, 52) (dual of [(36, 3), 15, 53]-NRT-code), using 21 times duplication based on linear OOA(292, 36, F2, 3, 52) (dual of [(36, 3), 16, 53]-NRT-code), using
- strength reduction [i] based on linear OOA(292, 36, F2, 3, 53) (dual of [(36, 3), 16, 54]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(168, 12, F16, 8) (dual of [12, 4, 9]-code or 12-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
- linear OA(168, 12, F16, 8) (dual of [12, 4, 9]-code or 12-arc in PG(7,16)), using
- concatenation of two NRT-codes [i] based on
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(2197, 69, F2, 3, 104) (dual of [(69, 3), 10, 105]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2198, 69, F2, 3, 105) (dual of [(69, 3), 9, 106]-NRT-code) | [i] | ||