Information on Result #2766382
Linear OOA(2231, 69, F2, 4, 118) (dual of [(69, 4), 45, 119]-NRT-code), using strength reduction based on linear OOA(2231, 69, F2, 4, 119) (dual of [(69, 4), 45, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3214, 23, F32, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), 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(3214, 23, F32, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,32)), 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(2232, 69, F2, 4, 118) (dual of [(69, 4), 44, 119]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2233, 69, F2, 4, 118) (dual of [(69, 4), 43, 119]-NRT-code) | [i] | ||
| 3 | Linear OOA(2230, 68, F2, 4, 117) (dual of [(68, 4), 42, 118]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2229, 68, F2, 4, 116) (dual of [(68, 4), 43, 117]-NRT-code) | [i] | ||
| 5 | Linear OOA(2228, 68, F2, 4, 115) (dual of [(68, 4), 44, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(2227, 68, F2, 4, 114) (dual of [(68, 4), 45, 115]-NRT-code) | [i] | ||
| 7 | Linear OOA(2226, 67, F2, 4, 113) (dual of [(67, 4), 42, 114]-NRT-code) | [i] | ||
| 8 | Linear OOA(2225, 67, F2, 4, 112) (dual of [(67, 4), 43, 113]-NRT-code) | [i] | ||
| 9 | Linear OOA(2224, 67, F2, 4, 111) (dual of [(67, 4), 44, 112]-NRT-code) | [i] | ||
| 10 | Linear OOA(2223, 67, F2, 4, 110) (dual of [(67, 4), 45, 111]-NRT-code) | [i] | ||
| 11 | Linear OOA(2222, 66, F2, 4, 109) (dual of [(66, 4), 42, 110]-NRT-code) | [i] | ||
| 12 | Linear OOA(2221, 66, F2, 4, 108) (dual of [(66, 4), 43, 109]-NRT-code) | [i] | ||
| 13 | Linear OOA(2220, 66, F2, 4, 107) (dual of [(66, 4), 44, 108]-NRT-code) | [i] | ||
| 14 | Linear OOA(2218, 65, F2, 4, 105) (dual of [(65, 4), 42, 106]-NRT-code) | [i] | ||