Information on Result #2195081
Linear OA(3184, 220, F3, 81) (dual of [220, 36, 82]-code), using strength reduction based on linear OA(3184, 220, F3, 83) (dual of [220, 36, 84]-code), using
- concatenation of two codes [i] based on
- linear OA(8113, 22, F81, 13) (dual of [22, 9, 14]-code or 22-arc in PG(12,81)), using
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
- Reed–Solomon code RS(68,81) [i]
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
- linear OA(36, 10, F3, 5) (dual of [10, 4, 6]-code), using
- linear OA(8113, 22, F81, 13) (dual of [22, 9, 14]-code or 22-arc in PG(12,81)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3183, 219, F3, 80) (dual of [219, 36, 81]-code) | [i] | Truncation | |
| 2 | Linear OA(3182, 218, F3, 79) (dual of [218, 36, 80]-code) | [i] | ||
| 3 | Linear OA(3181, 217, F3, 78) (dual of [217, 36, 79]-code) | [i] | ||