Information on Result #633118
Linear OA(3170, 310, F3, 55) (dual of [310, 140, 56]-code), using concatenation of two codes based on
- linear OA(8127, 62, F81, 27) (dual of [62, 35, 28]-code or 62-arc in PG(26,81)), using
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
- Reed–Solomon code RS(54,81) [i]
- discarding factors / shortening the dual code based on linear OA(8127, 81, F81, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), 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(3169, 309, F3, 54) (dual of [309, 140, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(3170, 155, F3, 2, 55) (dual of [(155, 2), 140, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3170, 103, F3, 3, 55) (dual of [(103, 3), 139, 56]-NRT-code) | [i] | ||