Information on Result #631141
Linear OA(380, 100, F3, 38) (dual of [100, 20, 39]-code), using concatenation of two codes based on
- linear OA(915, 25, F9, 12) (dual of [25, 10, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 28, F9, 12) (dual of [28, 13, 13]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,15P) [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(915, 28, F9, 12) (dual of [28, 13, 13]-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(380, 50, F3, 2, 38) (dual of [(50, 2), 20, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(380, 33, F3, 3, 38) (dual of [(33, 3), 19, 39]-NRT-code) | [i] | ||