Information on Result #633555
Linear OA(3223, 375, F3, 75) (dual of [375, 152, 76]-code), using concatenation of two codes based on
- linear OA(8137, 75, F81, 37) (dual of [75, 38, 38]-code or 75-arc in PG(36,81)), using
- discarding factors / shortening the dual code based on linear OA(8137, 81, F81, 37) (dual of [81, 44, 38]-code or 81-arc in PG(36,81)), using
- Reed–Solomon code RS(44,81) [i]
- discarding factors / shortening the dual code based on linear OA(8137, 81, F81, 37) (dual of [81, 44, 38]-code or 81-arc in PG(36,81)), 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(3222, 374, F3, 74) (dual of [374, 152, 75]-code) | [i] | Truncation | |
| 2 | Linear OOA(3223, 187, F3, 2, 75) (dual of [(187, 2), 151, 76]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3223, 125, F3, 3, 75) (dual of [(125, 3), 152, 76]-NRT-code) | [i] | ||