Information on Result #632987
Linear OA(3173, 385, F3, 49) (dual of [385, 212, 50]-code), using concatenation of two codes based on
- linear OA(8124, 77, F81, 24) (dual of [77, 53, 25]-code or 77-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
- Reed–Solomon code RS(57,81) [i]
- discarding factors / shortening the dual code based on linear OA(8124, 81, F81, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), 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(3172, 384, F3, 48) (dual of [384, 212, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(3173, 192, F3, 2, 49) (dual of [(192, 2), 211, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3173, 128, F3, 3, 49) (dual of [(128, 3), 211, 50]-NRT-code) | [i] | ||