Information on Result #632756
Linear OA(3132, 144, F3, 77) (dual of [144, 12, 78]-code), using concatenation of two codes based on
- linear OA(2712, 16, F27, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,27)), using
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), 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(3132, 144, F3, 76) (dual of [144, 12, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3132, 144, F3, 75) (dual of [144, 12, 76]-code) | [i] | ||
| 3 | Linear OA(3133, 145, F3, 77) (dual of [145, 12, 78]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3134, 146, F3, 77) (dual of [146, 12, 78]-code) | [i] | ||
| 5 | Linear OA(3131, 143, F3, 76) (dual of [143, 12, 77]-code) | [i] | Truncation | |
| 6 | Linear OA(3130, 142, F3, 75) (dual of [142, 12, 76]-code) | [i] | ||
| 7 | Linear OA(3129, 141, F3, 74) (dual of [141, 12, 75]-code) | [i] | ||
| 8 | Linear OA(3128, 140, F3, 73) (dual of [140, 12, 74]-code) | [i] | ||
| 9 | Linear OA(3127, 139, F3, 72) (dual of [139, 12, 73]-code) | [i] | ||
| 10 | Linear OOA(3132, 72, F3, 2, 77) (dual of [(72, 2), 12, 78]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3132, 48, F3, 3, 77) (dual of [(48, 3), 12, 78]-NRT-code) | [i] | ||