Information on Result #632807
Linear OA(3207, 216, F3, 131) (dual of [216, 9, 132]-code), using concatenation of two codes based on
- linear OA(2721, 24, F27, 21) (dual of [24, 3, 22]-code or 24-arc in PG(20,27)), using
- discarding factors / shortening the dual code based on linear OA(2721, 27, F27, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
- Reed–Solomon code RS(6,27) [i]
- discarding factors / shortening the dual code based on linear OA(2721, 27, F27, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), 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(3207, 216, F3, 130) (dual of [216, 9, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3207, 216, F3, 129) (dual of [216, 9, 130]-code) | [i] | ||
| 3 | Linear OA(3208, 217, F3, 131) (dual of [217, 9, 132]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3206, 215, F3, 130) (dual of [215, 9, 131]-code) | [i] | Truncation | |
| 5 | Linear OA(3205, 214, F3, 129) (dual of [214, 9, 130]-code) | [i] | ||
| 6 | Linear OA(3204, 213, F3, 128) (dual of [213, 9, 129]-code) | [i] | ||
| 7 | Linear OA(3203, 212, F3, 127) (dual of [212, 9, 128]-code) | [i] | ||
| 8 | Linear OA(3202, 211, F3, 126) (dual of [211, 9, 127]-code) | [i] | ||
| 9 | Linear OA(3201, 210, F3, 125) (dual of [210, 9, 126]-code) | [i] | ||
| 10 | Linear OA(3200, 209, F3, 124) (dual of [209, 9, 125]-code) | [i] | ||
| 11 | Linear OA(3199, 208, F3, 123) (dual of [208, 9, 124]-code) | [i] | ||
| 12 | Linear OOA(3207, 108, F3, 2, 131) (dual of [(108, 2), 9, 132]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3207, 72, F3, 3, 131) (dual of [(72, 3), 9, 132]-NRT-code) | [i] | ||
| 14 | Linear OOA(3207, 43, F3, 5, 131) (dual of [(43, 5), 8, 132]-NRT-code) | [i] | ||