Information on Result #2268075
Linear OA(3198, 273, F3, 77) (dual of [273, 75, 78]-code), using 1 times code embedding in larger space based on linear OA(3197, 272, F3, 77) (dual of [272, 75, 78]-code), using
- concatenation of two codes [i] based on
- linear OA(2743, 68, F27, 38) (dual of [68, 25, 39]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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
- linear OA(2743, 68, F27, 38) (dual of [68, 25, 39]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3198, 91, F3, 3, 77) (dual of [(91, 3), 75, 78]-NRT-code) | [i] | OOA Folding | |