Information on Result #632742
Linear OA(3132, 153, F3, 65) (dual of [153, 21, 66]-code), using concatenation of two codes based on
- linear OA(2710, 17, F27, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,27)), using
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- Reed–Solomon code RS(17,27) [i]
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), 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, 153, F3, 64) (dual of [153, 21, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3132, 153, F3, 63) (dual of [153, 21, 64]-code) | [i] | ||
| 3 | Linear OA(3132, 153, F3, 62) (dual of [153, 21, 63]-code) | [i] | ||
| 4 | Linear OA(3133, 154, F3, 65) (dual of [154, 21, 66]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3134, 155, F3, 65) (dual of [155, 21, 66]-code) | [i] | ||
| 6 | Linear OA(3130, 151, F3, 63) (dual of [151, 21, 64]-code) | [i] | Truncation | |
| 7 | Linear OA(3129, 150, F3, 62) (dual of [150, 21, 63]-code) | [i] | ||
| 8 | Linear OA(3128, 149, F3, 61) (dual of [149, 21, 62]-code) | [i] | ||
| 9 | Linear OA(3127, 148, F3, 60) (dual of [148, 21, 61]-code) | [i] | ||
| 10 | Linear OOA(3132, 51, F3, 3, 65) (dual of [(51, 3), 21, 66]-NRT-code) | [i] | OOA Folding | |