Information on Result #2783718
Linear OOA(2222, 68, F2, 4, 106) (dual of [(68, 4), 50, 107]-NRT-code), using 4 step truncation based on linear OOA(2226, 69, F2, 4, 110) (dual of [(69, 4), 50, 111]-NRT-code), using
- strength reduction [i] based on linear OOA(2226, 69, F2, 4, 111) (dual of [(69, 4), 50, 112]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3213, 23, F32, 13) (dual of [23, 10, 14]-code or 23-arc in PG(12,32)), using
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
- Reed–Solomon code RS(19,32) [i]
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), 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(3213, 23, F32, 13) (dual of [23, 10, 14]-code or 23-arc in PG(12,32)), 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(2222, 34, F2, 7, 106) (dual of [(34, 7), 16, 107]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2222, 34, F2, 8, 106) (dual of [(34, 8), 50, 107]-NRT-code) | [i] | ||