Information on Result #2767706
Linear OOA(2251, 69, F2, 4, 147) (dual of [(69, 4), 25, 148]-NRT-code), using strength reduction based on linear OOA(2251, 69, F2, 4, 151) (dual of [(69, 4), 25, 152]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3218, 23, F32, 18) (dual of [23, 5, 19]-code or 23-arc in PG(17,32)), using
- discarding factors / shortening the dual code based on linear OA(3218, 32, F32, 18) (dual of [32, 14, 19]-code or 32-arc in PG(17,32)), using
- Reed–Solomon code RS(14,32) [i]
- discarding factors / shortening the dual code based on linear OA(3218, 32, F32, 18) (dual of [32, 14, 19]-code or 32-arc in PG(17,32)), 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(3218, 23, F32, 18) (dual of [23, 5, 19]-code or 23-arc in PG(17,32)), 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(2250, 68, F2, 4, 146) (dual of [(68, 4), 22, 147]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2249, 68, F2, 4, 145) (dual of [(68, 4), 23, 146]-NRT-code) | [i] | ||
| 3 | Linear OOA(2248, 68, F2, 4, 144) (dual of [(68, 4), 24, 145]-NRT-code) | [i] | ||