Information on Result #631149
Linear OA(386, 104, F3, 44) (dual of [104, 18, 45]-code), using concatenation of two codes based on
- linear OA(917, 26, F9, 14) (dual of [26, 9, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(917, 27, F9, 14) (dual of [27, 10, 15]-code), using
- algebraic-geometric code AG(F,12P) [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,12P) [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(917, 27, F9, 14) (dual of [27, 10, 15]-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(386, 52, F3, 2, 44) (dual of [(52, 2), 18, 45]-NRT-code) | [i] | OOA Folding | |