Information on Result #633518
Linear OA(3213, 345, F3, 73) (dual of [345, 132, 74]-code), using concatenation of two codes based on
- linear OA(8136, 69, F81, 36) (dual of [69, 33, 37]-code or 69-arc in PG(35,81)), using
- discarding factors / shortening the dual code based on linear OA(8136, 81, F81, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), using
- Reed–Solomon code RS(45,81) [i]
- discarding factors / shortening the dual code based on linear OA(8136, 81, F81, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), 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(3212, 344, F3, 72) (dual of [344, 132, 73]-code) | [i] | Truncation | |
| 2 | Linear OOA(3213, 172, F3, 2, 73) (dual of [(172, 2), 131, 74]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3213, 115, F3, 3, 73) (dual of [(115, 3), 132, 74]-NRT-code) | [i] | ||