Information on Result #632925
Linear OA(3166, 390, F3, 45) (dual of [390, 224, 46]-code), using concatenation of two codes based on
- linear OA(8122, 78, F81, 22) (dual of [78, 56, 23]-code or 78-arc in PG(21,81)), using
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
- Reed–Solomon code RS(59,81) [i]
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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 OA(3165, 389, F3, 44) (dual of [389, 224, 45]-code) | [i] | Truncation | |
| 2 | Linear OOA(3166, 195, F3, 2, 45) (dual of [(195, 2), 224, 46]-NRT-code) | [i] | OOA Folding | |