Information on Result #632806
Linear OA(3213, 225, F3, 131) (dual of [225, 12, 132]-code), using concatenation of two codes based on
- linear OA(2721, 25, F27, 21) (dual of [25, 4, 22]-code or 25-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(3213, 225, F3, 130) (dual of [225, 12, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3213, 225, F3, 129) (dual of [225, 12, 130]-code) | [i] | ||
| 3 | Linear OA(3213, 225, F3, 128) (dual of [225, 12, 129]-code) | [i] | ||
| 4 | Linear OA(3213, 225, F3, 127) (dual of [225, 12, 128]-code) | [i] | ||
| 5 | Linear OA(3213, 225, F3, 126) (dual of [225, 12, 127]-code) | [i] | ||
| 6 | Linear OA(3214, 226, F3, 131) (dual of [226, 12, 132]-code) | [i] | Code Embedding in Larger Space | |
| 7 | Linear OA(3215, 227, F3, 131) (dual of [227, 12, 132]-code) | [i] | ||
| 8 | Linear OA(3212, 224, F3, 130) (dual of [224, 12, 131]-code) | [i] | Truncation | |
| 9 | Linear OA(3211, 223, F3, 129) (dual of [223, 12, 130]-code) | [i] | ||
| 10 | Linear OA(3210, 222, F3, 128) (dual of [222, 12, 129]-code) | [i] | ||
| 11 | Linear OA(3209, 221, F3, 127) (dual of [221, 12, 128]-code) | [i] | ||
| 12 | Linear OA(3208, 220, F3, 126) (dual of [220, 12, 127]-code) | [i] | ||
| 13 | Linear OA(3207, 219, F3, 125) (dual of [219, 12, 126]-code) | [i] | ||
| 14 | Linear OA(3206, 218, F3, 124) (dual of [218, 12, 125]-code) | [i] | ||
| 15 | Linear OA(3205, 217, F3, 123) (dual of [217, 12, 124]-code) | [i] | ||
| 16 | Linear OA(3203, 215, F3, 121) (dual of [215, 12, 122]-code) | [i] | ||
| 17 | Linear OA(3202, 214, F3, 120) (dual of [214, 12, 121]-code) | [i] | ||
| 18 | Linear OOA(3213, 75, F3, 3, 131) (dual of [(75, 3), 12, 132]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(3213, 45, F3, 5, 131) (dual of [(45, 5), 12, 132]-NRT-code) | [i] | ||