Information on Result #631146
Linear OA(382, 100, F3, 41) (dual of [100, 18, 42]-code), using concatenation of two codes based on
- linear OA(916, 25, F9, 13) (dual of [25, 9, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(916, 27, F9, 13) (dual of [27, 11, 14]-code), using
- algebraic-geometric code AG(F,13P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- algebraic-geometric code AG(F,13P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(916, 27, F9, 13) (dual of [27, 11, 14]-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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 OOA(382, 50, F3, 2, 41) (dual of [(50, 2), 18, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(382, 33, F3, 3, 41) (dual of [(33, 3), 17, 42]-NRT-code) | [i] | ||