Information on Result #2766700
Linear OOA(2236, 69, F2, 4, 126) (dual of [(69, 4), 40, 127]-NRT-code), using strength reduction based on linear OOA(2236, 69, F2, 4, 127) (dual of [(69, 4), 40, 128]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3215, 23, F32, 15) (dual of [23, 8, 16]-code or 23-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, 23, F32, 15) (dual of [23, 8, 16]-code or 23-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(2237, 69, F2, 4, 126) (dual of [(69, 4), 39, 127]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2238, 69, F2, 4, 126) (dual of [(69, 4), 38, 127]-NRT-code) | [i] | ||
| 3 | Linear OOA(2235, 68, F2, 4, 125) (dual of [(68, 4), 37, 126]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2234, 68, F2, 4, 124) (dual of [(68, 4), 38, 125]-NRT-code) | [i] | ||
| 5 | Linear OOA(2233, 68, F2, 4, 123) (dual of [(68, 4), 39, 124]-NRT-code) | [i] | ||
| 6 | Linear OOA(2232, 68, F2, 4, 122) (dual of [(68, 4), 40, 123]-NRT-code) | [i] | ||
| 7 | Linear OOA(2231, 67, F2, 4, 121) (dual of [(67, 4), 37, 122]-NRT-code) | [i] | ||
| 8 | Linear OOA(2230, 67, F2, 4, 120) (dual of [(67, 4), 38, 121]-NRT-code) | [i] | ||
| 9 | Linear OOA(2229, 67, F2, 4, 119) (dual of [(67, 4), 39, 120]-NRT-code) | [i] | ||
| 10 | Linear OOA(2228, 67, F2, 4, 118) (dual of [(67, 4), 40, 119]-NRT-code) | [i] | ||
| 11 | Linear OOA(2227, 66, F2, 4, 117) (dual of [(66, 4), 37, 118]-NRT-code) | [i] | ||
| 12 | Linear OOA(2226, 66, F2, 4, 116) (dual of [(66, 4), 38, 117]-NRT-code) | [i] | ||
| 13 | Linear OOA(2225, 66, F2, 4, 115) (dual of [(66, 4), 39, 116]-NRT-code) | [i] | ||
| 14 | Linear OOA(2223, 65, F2, 4, 113) (dual of [(65, 4), 37, 114]-NRT-code) | [i] | ||
| 15 | Linear OOA(2222, 65, F2, 4, 112) (dual of [(65, 4), 38, 113]-NRT-code) | [i] | ||