Information on Result #633217
Linear OA(3171, 275, F3, 59) (dual of [275, 104, 60]-code), using concatenation of two codes based on
- linear OA(8129, 55, F81, 29) (dual of [55, 26, 30]-code or 55-arc in PG(28,81)), using
- discarding factors / shortening the dual code based on linear OA(8129, 81, F81, 29) (dual of [81, 52, 30]-code or 81-arc in PG(28,81)), using
- Reed–Solomon code RS(52,81) [i]
- discarding factors / shortening the dual code based on linear OA(8129, 81, F81, 29) (dual of [81, 52, 30]-code or 81-arc in PG(28,81)), 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(3170, 274, F3, 58) (dual of [274, 104, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(3171, 137, F3, 2, 59) (dual of [(137, 2), 103, 60]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3171, 91, F3, 3, 59) (dual of [(91, 3), 102, 60]-NRT-code) | [i] | ||