Information on Result #633431
Linear OA(3198, 310, F3, 69) (dual of [310, 112, 70]-code), using concatenation of two codes based on
- linear OA(8134, 62, F81, 34) (dual of [62, 28, 35]-code or 62-arc in PG(33,81)), using
- discarding factors / shortening the dual code based on linear OA(8134, 81, F81, 34) (dual of [81, 47, 35]-code or 81-arc in PG(33,81)), using
- Reed–Solomon code RS(47,81) [i]
- discarding factors / shortening the dual code based on linear OA(8134, 81, F81, 34) (dual of [81, 47, 35]-code or 81-arc in PG(33,81)), 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(3197, 309, F3, 68) (dual of [309, 112, 69]-code) | [i] | Truncation | |
| 2 | Linear OOA(3198, 155, F3, 2, 69) (dual of [(155, 2), 112, 70]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3198, 103, F3, 3, 69) (dual of [(103, 3), 111, 70]-NRT-code) | [i] | ||