Information on Result #2795793
Linear OOA(2256, 79, F2, 4, 118) (dual of [(79, 4), 60, 119]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2252, 78, F2, 4, 118) (dual of [(78, 4), 60, 119]-NRT-code), using
- strength reduction [i] based on linear OOA(2252, 78, F2, 4, 119) (dual of [(78, 4), 60, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3214, 26, F32, 14) (dual of [26, 12, 15]-code or 26-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, 26, F32, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,32)), using
- concatenation of two NRT-codes [i] based on
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(2257, 79, F2, 4, 118) (dual of [(79, 4), 59, 119]-NRT-code) | [i] | OOA Duplication | |