Information on Result #632908
Linear OA(3147, 315, F3, 43) (dual of [315, 168, 44]-code), using concatenation of two codes based on
- linear OA(8121, 63, F81, 21) (dual of [63, 42, 22]-code or 63-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 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(3146, 314, F3, 42) (dual of [314, 168, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(3147, 157, F3, 2, 43) (dual of [(157, 2), 167, 44]-NRT-code) | [i] | OOA Folding | |