Information on Result #1028773
Linear OOA(2182, 84, F2, 3, 74) (dual of [(84, 3), 70, 75]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3214, 28, F32, 14) (dual of [28, 14, 15]-code or 28-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(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,2) [i]
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(2182, 84, F2, 3, 73) (dual of [(84, 3), 70, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2183, 84, F2, 3, 74) (dual of [(84, 3), 69, 75]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2182, 42, F2, 5, 74) (dual of [(42, 5), 28, 75]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2182, 42, F2, 6, 74) (dual of [(42, 6), 70, 75]-NRT-code) | [i] | ||