Information on Result #2768165
Linear OOA(2258, 81, F2, 4, 115) (dual of [(81, 4), 66, 116]-NRT-code), using strength reduction based on linear OOA(2258, 81, F2, 4, 118) (dual of [(81, 4), 66, 119]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(6416, 27, F64, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,64)), using
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
- Reed–Solomon code RS(48,64) [i]
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
- linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;6,2) [i]
- linear OA(6416, 27, F64, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,64)), 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(2260, 81, F2, 4, 115) (dual of [(81, 4), 64, 116]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2257, 80, F2, 4, 114) (dual of [(80, 4), 63, 115]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2256, 80, F2, 4, 113) (dual of [(80, 4), 64, 114]-NRT-code) | [i] | ||
| 4 | Linear OOA(2255, 80, F2, 4, 112) (dual of [(80, 4), 65, 113]-NRT-code) | [i] | ||