Information on Result #633303
Linear OA(3182, 290, F3, 63) (dual of [290, 108, 64]-code), using concatenation of two codes based on
- linear OA(8131, 58, F81, 31) (dual of [58, 27, 32]-code or 58-arc in PG(30,81)), using
- discarding factors / shortening the dual code based on linear OA(8131, 81, F81, 31) (dual of [81, 50, 32]-code or 81-arc in PG(30,81)), using
- Reed–Solomon code RS(50,81) [i]
- discarding factors / shortening the dual code based on linear OA(8131, 81, F81, 31) (dual of [81, 50, 32]-code or 81-arc in PG(30,81)), 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(3181, 289, F3, 62) (dual of [289, 108, 63]-code) | [i] | Truncation | |
| 2 | Linear OOA(3182, 145, F3, 2, 63) (dual of [(145, 2), 108, 64]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3182, 96, F3, 3, 63) (dual of [(96, 3), 106, 64]-NRT-code) | [i] | ||