Information on Result #632857
Linear OA(3137, 305, F3, 39) (dual of [305, 168, 40]-code), using concatenation of two codes based on
- linear OA(8119, 61, F81, 19) (dual of [61, 42, 20]-code or 61-arc in PG(18,81)), using
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
- Reed–Solomon code RS(62,81) [i]
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), 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(3136, 304, F3, 38) (dual of [304, 168, 39]-code) | [i] | Truncation | |
| 2 | Linear OOA(3137, 152, F3, 2, 39) (dual of [(152, 2), 167, 40]-NRT-code) | [i] | OOA Folding | |