Information on Result #633755
Linear OA(3174, 210, F3, 77) (dual of [210, 36, 78]-code), using concatenation of two codes based on
- linear OA(8112, 21, F81, 12) (dual of [21, 9, 13]-code or 21-arc in PG(11,81)), using
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using
- Reed–Solomon code RS(69,81) [i]
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using
- linear OA(36, 10, F3, 5) (dual of [10, 4, 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(3174, 210, F3, 76) (dual of [210, 36, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3174, 210, F3, 75) (dual of [210, 36, 76]-code) | [i] | ||
| 3 | Linear OA(3174, 210, F3, 74) (dual of [210, 36, 75]-code) | [i] | ||
| 4 | Linear OA(3175, 211, F3, 77) (dual of [211, 36, 78]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3176, 212, F3, 77) (dual of [212, 36, 78]-code) | [i] | ||
| 6 | Linear OA(3177, 213, F3, 77) (dual of [213, 36, 78]-code) | [i] | ||
| 7 | Linear OA(3173, 209, F3, 76) (dual of [209, 36, 77]-code) | [i] | Truncation | |
| 8 | Linear OA(3171, 207, F3, 74) (dual of [207, 36, 75]-code) | [i] | ||
| 9 | Linear OOA(3174, 105, F3, 2, 77) (dual of [(105, 2), 36, 78]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(3174, 70, F3, 3, 77) (dual of [(70, 3), 36, 78]-NRT-code) | [i] | ||