Information on Result #2764177
Linear OOA(2198, 57, F2, 4, 109) (dual of [(57, 4), 30, 110]-NRT-code), using strength reduction based on linear OOA(2198, 57, F2, 4, 111) (dual of [(57, 4), 30, 112]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3213, 19, F32, 13) (dual of [19, 6, 14]-code or 19-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, 19, F32, 13) (dual of [19, 6, 14]-code or 19-arc in PG(12,32)), 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(2199, 57, F2, 4, 109) (dual of [(57, 4), 29, 110]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2197, 56, F2, 4, 108) (dual of [(56, 4), 27, 109]-NRT-code) | [i] | Truncation for OOAs | |