Information on Result #1028747
Linear OOA(2148, 66, F2, 3, 64) (dual of [(66, 3), 50, 65]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3212, 22, F32, 12) (dual of [22, 10, 13]-code or 22-arc in PG(11,32)), using
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
- Reed–Solomon code RS(20,32) [i]
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), 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(2148, 66, F2, 3, 63) (dual of [(66, 3), 50, 64]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2148, 66, F2, 3, 62) (dual of [(66, 3), 50, 63]-NRT-code) | [i] | ||
| 3 | Linear OOA(2151, 67, F2, 3, 64) (dual of [(67, 3), 50, 65]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2149, 66, F2, 3, 64) (dual of [(66, 3), 49, 65]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2148, 33, F2, 5, 64) (dual of [(33, 5), 17, 65]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2148, 33, F2, 6, 64) (dual of [(33, 6), 50, 65]-NRT-code) | [i] | ||