Information on Result #633639
Linear OA(3243, 435, F3, 77) (dual of [435, 192, 78]-code), using concatenation of two codes based on
- linear OA(8139, 87, F81, 38) (dual of [87, 48, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(8139, 100, F81, 38) (dual of [100, 61, 39]-code), using
- extended algebraic-geometric code AGe(F,61P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- discarding factors / shortening the dual code based on linear OA(8139, 100, F81, 38) (dual of [100, 61, 39]-code), using
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3242, 434, F3, 76) (dual of [434, 192, 77]-code) | [i] | Truncation | |
| 2 | Linear OOA(3243, 217, F3, 2, 77) (dual of [(217, 2), 191, 78]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3243, 145, F3, 3, 77) (dual of [(145, 3), 192, 78]-NRT-code) | [i] | ||