Information on Result #632162
Linear OA(3186, 288, F3, 65) (dual of [288, 102, 66]-code), using concatenation of two codes based on
- linear OA(2738, 72, F27, 32) (dual of [72, 34, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2738, 75, F27, 32) (dual of [75, 37, 33]-code), using
- algebraic-geometric code AG(F,42P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- discarding factors / shortening the dual code based on linear OA(2738, 75, F27, 32) (dual of [75, 37, 33]-code), 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
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(3186, 96, F3, 3, 65) (dual of [(96, 3), 102, 66]-NRT-code) | [i] | OOA Folding | |