Information on Result #633513
Linear OA(3218, 370, F3, 73) (dual of [370, 152, 74]-code), using concatenation of two codes based on
- linear OA(8136, 74, F81, 36) (dual of [74, 38, 37]-code or 74-arc in PG(35,81)), using
- discarding factors / shortening the dual code based on linear OA(8136, 81, F81, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), using
- Reed–Solomon code RS(45,81) [i]
- discarding factors / shortening the dual code based on linear OA(8136, 81, F81, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), 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(3217, 369, F3, 72) (dual of [369, 152, 73]-code) | [i] | Truncation | |
| 2 | Linear OOA(3218, 185, F3, 2, 73) (dual of [(185, 2), 152, 74]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3218, 123, F3, 3, 73) (dual of [(123, 3), 151, 74]-NRT-code) | [i] | ||