Information on Result #630711
Linear OA(359, 81, F3, 27) (dual of [81, 22, 28]-code), using concatenation of two codes 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
- linear OA(31, 3, F3, 1) (dual of [3, 2, 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.
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(358, 80, F3, 26) (dual of [80, 22, 27]-code) | [i] | Truncation | |
| 2 | Linear OOA(359, 40, F3, 2, 27) (dual of [(40, 2), 21, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(359, 27, F3, 3, 27) (dual of [(27, 3), 22, 28]-NRT-code) | [i] | ||