Information on Result #632997
Linear OA(3161, 325, F3, 49) (dual of [325, 164, 50]-code), using concatenation of two codes based on
- linear OA(8124, 65, F81, 24) (dual of [65, 41, 25]-code or 65-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 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(3160, 324, F3, 48) (dual of [324, 164, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(3161, 162, F3, 2, 49) (dual of [(162, 2), 163, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3161, 108, F3, 3, 49) (dual of [(108, 3), 163, 50]-NRT-code) | [i] | ||