Information on Result #2267522
Linear OA(3195, 411, F3, 57) (dual of [411, 216, 58]-code), using 1 times code embedding in larger space based on linear OA(3194, 410, F3, 57) (dual of [410, 216, 58]-code), using
- concatenation of two codes [i] based on
- linear OA(8128, 82, F81, 28) (dual of [82, 54, 29]-code or 82-arc in PG(27,81)), using
- extended Reed–Solomon code RSe(54,81) [i]
- 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
- linear OA(8128, 82, F81, 28) (dual of [82, 54, 29]-code or 82-arc in PG(27,81)), 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 OOA(3195, 137, F3, 3, 57) (dual of [(137, 3), 216, 58]-NRT-code) | [i] | OOA Folding | |