Information on Result #632882
Linear OA(3142, 310, F3, 41) (dual of [310, 168, 42]-code), using concatenation of two codes based on
- linear OA(8120, 62, F81, 20) (dual of [62, 42, 21]-code or 62-arc in PG(19,81)), using
- discarding factors / shortening the dual code based on linear OA(8120, 81, F81, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), using
- Reed–Solomon code RS(61,81) [i]
- discarding factors / shortening the dual code based on linear OA(8120, 81, F81, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), 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(3141, 309, F3, 40) (dual of [309, 168, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(3142, 155, F3, 2, 41) (dual of [(155, 2), 168, 42]-NRT-code) | [i] | OOA Folding | |