Information on Result #632799
Linear OA(3189, 198, F3, 119) (dual of [198, 9, 120]-code), using concatenation of two codes based on
- linear OA(2719, 22, F27, 19) (dual of [22, 3, 20]-code or 22-arc in PG(18,27)), using
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
- Reed–Solomon code RS(8,27) [i]
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), 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(3189, 198, F3, 118) (dual of [198, 9, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3189, 198, F3, 117) (dual of [198, 9, 118]-code) | [i] | ||
| 3 | Linear OA(3189, 198, F3, 116) (dual of [198, 9, 117]-code) | [i] | ||
| 4 | Linear OA(3190, 199, F3, 119) (dual of [199, 9, 120]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3191, 200, F3, 119) (dual of [200, 9, 120]-code) | [i] | ||
| 6 | Linear OA(3188, 197, F3, 118) (dual of [197, 9, 119]-code) | [i] | Truncation | |
| 7 | Linear OA(3187, 196, F3, 117) (dual of [196, 9, 118]-code) | [i] | ||
| 8 | Linear OA(3186, 195, F3, 116) (dual of [195, 9, 117]-code) | [i] | ||
| 9 | Linear OA(3185, 194, F3, 115) (dual of [194, 9, 116]-code) | [i] | ||
| 10 | Linear OA(3184, 193, F3, 114) (dual of [193, 9, 115]-code) | [i] | ||
| 11 | Linear OOA(3189, 99, F3, 2, 119) (dual of [(99, 2), 9, 120]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3189, 66, F3, 3, 119) (dual of [(66, 3), 9, 120]-NRT-code) | [i] | ||