Information on Result #913160
Linear OOA(3196, 128, F3, 2, 89) (dual of [(128, 2), 60, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(8117, 32, F81, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,81)), using
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), using
- Reed–Solomon code RS(64,81) [i]
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), using
- linear OOA(34, 4, F3, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,3) [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(3196, 128, F3, 2, 88) (dual of [(128, 2), 60, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3198, 129, F3, 2, 89) (dual of [(129, 2), 60, 90]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3197, 128, F3, 2, 89) (dual of [(128, 2), 59, 90]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3195, 127, F3, 2, 88) (dual of [(127, 2), 59, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3194, 127, F3, 2, 87) (dual of [(127, 2), 60, 88]-NRT-code) | [i] | ||
| 6 | Linear OOA(3193, 126, F3, 2, 86) (dual of [(126, 2), 59, 87]-NRT-code) | [i] | ||
| 7 | Linear OOA(3196, 64, F3, 4, 89) (dual of [(64, 4), 60, 90]-NRT-code) | [i] | OOA Folding | |