Information on Result #661858
Linear OA(3140, 156, F3, 77) (dual of [156, 16, 78]-code), using (u, u+v)-construction based on
- linear OA(363, 78, F3, 38) (dual of [78, 15, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(363, 79, F3, 38) (dual of [79, 16, 39]-code), using
- 3 times truncation [i] based on linear OA(366, 82, F3, 41) (dual of [82, 16, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(363, 79, F3, 38) (dual of [79, 16, 39]-code), using
- linear OA(377, 78, F3, 77) (dual of [78, 1, 78]-code or 78-arc in PG(76,3)), using
- dual of repetition code with length 78 [i]
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(3139, 155, F3, 76) (dual of [155, 16, 77]-code) | [i] | Truncation | |
| 2 | Linear OA(3138, 154, F3, 75) (dual of [154, 16, 76]-code) | [i] | ||
| 3 | Linear OOA(3140, 78, F3, 2, 77) (dual of [(78, 2), 16, 78]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3140, 52, F3, 3, 77) (dual of [(52, 3), 16, 78]-NRT-code) | [i] | ||
| 5 | Linear OOA(3140, 31, F3, 5, 77) (dual of [(31, 5), 15, 78]-NRT-code) | [i] | ||