Information on Result #632760
Linear OA(3153, 171, F3, 83) (dual of [171, 18, 84]-code), using concatenation of two codes based on
- linear OA(2713, 19, F27, 13) (dual of [19, 6, 14]-code or 19-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), 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(3153, 171, F3, 82) (dual of [171, 18, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3152, 170, F3, 82) (dual of [170, 18, 83]-code) | [i] | Truncation | |
| 3 | Linear OA(3151, 169, F3, 81) (dual of [169, 18, 82]-code) | [i] | ||
| 4 | Linear OA(3150, 168, F3, 80) (dual of [168, 18, 81]-code) | [i] | ||
| 5 | Linear OA(3149, 167, F3, 79) (dual of [167, 18, 80]-code) | [i] | ||
| 6 | Linear OA(3146, 164, F3, 76) (dual of [164, 18, 77]-code) | [i] | ||
| 7 | Linear OA(3145, 163, F3, 75) (dual of [163, 18, 76]-code) | [i] | ||
| 8 | Linear OA(3144, 162, F3, 74) (dual of [162, 18, 75]-code) | [i] | ||
| 9 | Linear OA(3143, 161, F3, 73) (dual of [161, 18, 74]-code) | [i] | ||
| 10 | Linear OA(3142, 160, F3, 72) (dual of [160, 18, 73]-code) | [i] | ||