Information on Result #633247
Linear OA(3189, 345, F3, 61) (dual of [345, 156, 62]-code), using concatenation of two codes based on
- linear OA(8130, 69, F81, 30) (dual of [69, 39, 31]-code or 69-arc in PG(29,81)), using
- discarding factors / shortening the dual code based on linear OA(8130, 81, F81, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), using
- Reed–Solomon code RS(51,81) [i]
- discarding factors / shortening the dual code based on linear OA(8130, 81, F81, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), 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(3188, 344, F3, 60) (dual of [344, 156, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(3189, 172, F3, 2, 61) (dual of [(172, 2), 155, 62]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3189, 115, F3, 3, 61) (dual of [(115, 3), 156, 62]-NRT-code) | [i] | ||