Information on Result #2765468
Linear OOA(2217, 63, F2, 4, 116) (dual of [(63, 4), 35, 117]-NRT-code), using strength reduction based on linear OOA(2217, 63, F2, 4, 119) (dual of [(63, 4), 35, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3214, 21, F32, 14) (dual of [21, 7, 15]-code or 21-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;5,2) [i]
- linear OA(3214, 21, F32, 14) (dual of [21, 7, 15]-code or 21-arc in PG(13,32)), 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(2216, 62, F2, 4, 115) (dual of [(62, 4), 32, 116]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2215, 62, F2, 4, 114) (dual of [(62, 4), 33, 115]-NRT-code) | [i] | ||
| 3 | Linear OOA(2214, 62, F2, 4, 113) (dual of [(62, 4), 34, 114]-NRT-code) | [i] | ||
| 4 | Linear OOA(2213, 62, F2, 4, 112) (dual of [(62, 4), 35, 113]-NRT-code) | [i] | ||