Information on Result #913209
Linear OOA(3220, 136, F3, 2, 109) (dual of [(136, 2), 52, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(8121, 34, F81, 21) (dual of [34, 13, 22]-code or 34-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(3220, 136, F3, 2, 108) (dual of [(136, 2), 52, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3222, 137, F3, 2, 109) (dual of [(137, 2), 52, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3221, 136, F3, 2, 109) (dual of [(136, 2), 51, 110]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3219, 135, F3, 2, 108) (dual of [(135, 2), 51, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3220, 68, F3, 4, 109) (dual of [(68, 4), 52, 110]-NRT-code) | [i] | OOA Folding | |