Information on Result #913233
Linear OOA(3240, 144, F3, 2, 124) (dual of [(144, 2), 48, 125]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(8124, 36, F81, 24) (dual of [36, 12, 25]-code or 36-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- Reed–Solomon code RS(57,81) [i]
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), 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(3242, 145, F3, 2, 124) (dual of [(145, 2), 48, 125]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3241, 144, F3, 2, 124) (dual of [(144, 2), 47, 125]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3239, 143, F3, 2, 123) (dual of [(143, 2), 47, 124]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3240, 72, F3, 4, 124) (dual of [(72, 4), 48, 125]-NRT-code) | [i] | OOA Folding | |