Information on Result #633119
Linear OA(3169, 305, F3, 55) (dual of [305, 136, 56]-code), using concatenation of two codes based on
- linear OA(8127, 61, F81, 27) (dual of [61, 34, 28]-code or 61-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(3168, 304, F3, 54) (dual of [304, 136, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(3169, 152, F3, 2, 55) (dual of [(152, 2), 135, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3169, 101, F3, 3, 55) (dual of [(101, 3), 134, 56]-NRT-code) | [i] | ||