Information on Result #913207
Linear OOA(3228, 144, F3, 2, 109) (dual of [(144, 2), 60, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(8121, 36, F81, 21) (dual of [36, 15, 22]-code or 36-arc in PG(20,81)), using
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- Reed–Solomon code RS(60,81) [i]
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), 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(3228, 144, F3, 2, 108) (dual of [(144, 2), 60, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3230, 145, F3, 2, 109) (dual of [(145, 2), 60, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3229, 144, F3, 2, 109) (dual of [(144, 2), 59, 110]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3227, 143, F3, 2, 108) (dual of [(143, 2), 59, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3226, 143, F3, 2, 107) (dual of [(143, 2), 60, 108]-NRT-code) | [i] | ||
| 6 | Linear OOA(3225, 142, F3, 2, 106) (dual of [(142, 2), 59, 107]-NRT-code) | [i] | ||
| 7 | Linear OOA(3224, 142, F3, 2, 105) (dual of [(142, 2), 60, 106]-NRT-code) | [i] | ||
| 8 | Linear OOA(3223, 141, F3, 2, 104) (dual of [(141, 2), 59, 105]-NRT-code) | [i] | ||
| 9 | Linear OOA(3221, 140, F3, 2, 102) (dual of [(140, 2), 59, 103]-NRT-code) | [i] | ||
| 10 | Linear OOA(3228, 72, F3, 4, 109) (dual of [(72, 4), 60, 110]-NRT-code) | [i] | OOA Folding | |