Information on Result #913197
Linear OOA(3212, 132, F3, 2, 104) (dual of [(132, 2), 52, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(8120, 33, F81, 20) (dual of [33, 13, 21]-code or 33-arc in PG(19,81)), using
- discarding factors / shortening the dual code based on linear OA(8120, 81, F81, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), using
- Reed–Solomon code RS(61,81) [i]
- discarding factors / shortening the dual code based on linear OA(8120, 81, F81, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), 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(3212, 132, F3, 2, 103) (dual of [(132, 2), 52, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, 132, F3, 2, 102) (dual of [(132, 2), 52, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(3213, 132, F3, 2, 104) (dual of [(132, 2), 51, 105]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3211, 131, F3, 2, 103) (dual of [(131, 2), 51, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3210, 131, F3, 2, 102) (dual of [(131, 2), 52, 103]-NRT-code) | [i] | ||
| 6 | Linear OOA(3209, 130, F3, 2, 101) (dual of [(130, 2), 51, 102]-NRT-code) | [i] | ||
| 7 | Linear OOA(3208, 130, F3, 2, 100) (dual of [(130, 2), 52, 101]-NRT-code) | [i] | ||
| 8 | Linear OOA(3212, 66, F3, 4, 104) (dual of [(66, 4), 52, 105]-NRT-code) | [i] | OOA Folding | |