Information on Result #632757
Linear OA(3171, 198, F3, 83) (dual of [198, 27, 84]-code), using concatenation of two codes based on
- linear OA(2713, 22, F27, 13) (dual of [22, 9, 14]-code or 22-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(3170, 197, F3, 82) (dual of [197, 27, 83]-code) | [i] | Truncation | |
| 2 | Linear OA(3169, 196, F3, 81) (dual of [196, 27, 82]-code) | [i] | ||
| 3 | Linear OA(3168, 195, F3, 80) (dual of [195, 27, 81]-code) | [i] | ||
| 4 | Linear OA(3167, 194, F3, 79) (dual of [194, 27, 80]-code) | [i] | ||
| 5 | Linear OA(3166, 193, F3, 78) (dual of [193, 27, 79]-code) | [i] | ||
| 6 | Linear OOA(3171, 99, F3, 2, 83) (dual of [(99, 2), 27, 84]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3171, 66, F3, 3, 83) (dual of [(66, 3), 27, 84]-NRT-code) | [i] | ||