Information on Result #631145
Linear OA(384, 104, F3, 41) (dual of [104, 20, 42]-code), using concatenation of two codes based on
- linear OA(916, 26, F9, 13) (dual of [26, 10, 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 OA(384, 104, F3, 40) (dual of [104, 20, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(383, 103, F3, 40) (dual of [103, 20, 41]-code) | [i] | Truncation | |
| 3 | Linear OA(382, 102, F3, 39) (dual of [102, 20, 40]-code) | [i] | ||
| 4 | Linear OOA(384, 52, F3, 2, 41) (dual of [(52, 2), 20, 42]-NRT-code) | [i] | OOA Folding | |