Information on Result #2765749
Linear OOA(2222, 63, F2, 4, 124) (dual of [(63, 4), 30, 125]-NRT-code), using strength reduction based on linear OOA(2222, 63, F2, 4, 127) (dual of [(63, 4), 30, 128]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3215, 21, F32, 15) (dual of [21, 6, 16]-code or 21-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), 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(3215, 21, F32, 15) (dual of [21, 6, 16]-code or 21-arc in PG(14,32)), 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(2221, 62, F2, 4, 123) (dual of [(62, 4), 27, 124]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2220, 62, F2, 4, 122) (dual of [(62, 4), 28, 123]-NRT-code) | [i] | ||
| 3 | Linear OOA(2219, 62, F2, 4, 121) (dual of [(62, 4), 29, 122]-NRT-code) | [i] | ||
| 4 | Linear OOA(2218, 62, F2, 4, 120) (dual of [(62, 4), 30, 121]-NRT-code) | [i] | ||