Information on Result #2671647
Linear OOA(2111, 42, F2, 3, 64) (dual of [(42, 3), 15, 65]-NRT-code), using 21 times duplication based on linear OOA(2110, 42, F2, 3, 64) (dual of [(42, 3), 16, 65]-NRT-code), using
- strength reduction [i] based on linear OOA(2110, 42, F2, 3, 65) (dual of [(42, 3), 16, 66]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1610, 14, F16, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), 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(1610, 14, F16, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,16)), 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(2239, 81, F2, 3, 128) (dual of [(81, 3), 4, 129]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |