Information on Result #632753
Linear OA(3156, 180, F3, 77) (dual of [180, 24, 78]-code), using concatenation of two codes based on
- linear OA(2712, 20, F27, 12) (dual of [20, 8, 13]-code or 20-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(3156, 180, F3, 76) (dual of [180, 24, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3156, 180, F3, 75) (dual of [180, 24, 76]-code) | [i] | ||
| 3 | Linear OA(3156, 180, F3, 74) (dual of [180, 24, 75]-code) | [i] | ||
| 4 | Linear OA(3157, 181, F3, 77) (dual of [181, 24, 78]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3155, 179, F3, 76) (dual of [179, 24, 77]-code) | [i] | Truncation | |
| 6 | Linear OA(3154, 178, F3, 75) (dual of [178, 24, 76]-code) | [i] | ||
| 7 | Linear OA(3153, 177, F3, 74) (dual of [177, 24, 75]-code) | [i] | ||
| 8 | Linear OA(3151, 175, F3, 72) (dual of [175, 24, 73]-code) | [i] | ||
| 9 | Linear OA(3150, 174, F3, 71) (dual of [174, 24, 72]-code) | [i] | ||
| 10 | Linear OA(3149, 173, F3, 70) (dual of [173, 24, 71]-code) | [i] | ||
| 11 | Linear OA(3148, 172, F3, 69) (dual of [172, 24, 70]-code) | [i] | ||
| 12 | Linear OA(3145, 169, F3, 66) (dual of [169, 24, 67]-code) | [i] | ||
| 13 | Linear OA(3158, 183, F3, 77) (dual of [183, 25, 78]-code) | [i] | Construction X with Varšamov Bound | |
| 14 | Linear OA(3159, 185, F3, 77) (dual of [185, 26, 78]-code) | [i] | ||
| 15 | Linear OOA(3156, 90, F3, 2, 77) (dual of [(90, 2), 24, 78]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(3156, 60, F3, 3, 77) (dual of [(60, 3), 24, 78]-NRT-code) | [i] | ||