Information on Result #632762
Linear OA(3135, 144, F3, 83) (dual of [144, 9, 84]-code), using concatenation of two codes based on
- linear OA(2713, 16, F27, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- linear OA(36, 9, F3, 5) (dual of [9, 3, 6]-code), 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(3135, 144, F3, 82) (dual of [144, 9, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3133, 142, F3, 81) (dual of [142, 9, 82]-code) | [i] | Truncation | |
| 3 | Linear OOA(3135, 72, F3, 2, 83) (dual of [(72, 2), 9, 84]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3135, 48, F3, 3, 83) (dual of [(48, 3), 9, 84]-NRT-code) | [i] | ||