Information on Result #632797
Linear OA(3201, 216, F3, 119) (dual of [216, 15, 120]-code), using concatenation of two codes based on
- linear OA(2719, 24, F27, 19) (dual of [24, 5, 20]-code or 24-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(3201, 216, F3, 118) (dual of [216, 15, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3201, 216, F3, 117) (dual of [216, 15, 118]-code) | [i] | ||
| 3 | Linear OA(3201, 216, F3, 116) (dual of [216, 15, 117]-code) | [i] | ||
| 4 | Linear OA(3201, 216, F3, 115) (dual of [216, 15, 116]-code) | [i] | ||
| 5 | Linear OA(3202, 217, F3, 119) (dual of [217, 15, 120]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(3203, 218, F3, 119) (dual of [218, 15, 120]-code) | [i] | ||
| 7 | Linear OA(3200, 215, F3, 118) (dual of [215, 15, 119]-code) | [i] | Truncation | |
| 8 | Linear OA(3199, 214, F3, 117) (dual of [214, 15, 118]-code) | [i] | ||
| 9 | Linear OA(3198, 213, F3, 116) (dual of [213, 15, 117]-code) | [i] | ||
| 10 | Linear OA(3197, 212, F3, 115) (dual of [212, 15, 116]-code) | [i] | ||
| 11 | Linear OA(3196, 211, F3, 114) (dual of [211, 15, 115]-code) | [i] | ||
| 12 | Linear OA(3195, 210, F3, 113) (dual of [210, 15, 114]-code) | [i] | ||
| 13 | Linear OA(3194, 209, F3, 112) (dual of [209, 15, 113]-code) | [i] | ||
| 14 | Linear OA(3193, 208, F3, 111) (dual of [208, 15, 112]-code) | [i] | ||
| 15 | Linear OA(3191, 206, F3, 109) (dual of [206, 15, 110]-code) | [i] | ||
| 16 | Linear OA(3190, 205, F3, 108) (dual of [205, 15, 109]-code) | [i] | ||
| 17 | Linear OOA(3201, 108, F3, 2, 119) (dual of [(108, 2), 15, 120]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(3201, 72, F3, 3, 119) (dual of [(72, 3), 15, 120]-NRT-code) | [i] | ||
| 19 | Linear OOA(3201, 43, F3, 5, 119) (dual of [(43, 5), 14, 120]-NRT-code) | [i] | ||