Information on Result #630710
Linear OA(360, 84, F3, 27) (dual of [84, 24, 28]-code), using concatenation of two codes based on
- linear OA(916, 28, F9, 13) (dual of [28, 12, 14]-code), using
- extended algebraic-geometric code AGe(F,14P) [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,14P) [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(359, 83, F3, 26) (dual of [83, 24, 27]-code) | [i] | Truncation | |
| 2 | Linear OOA(360, 42, F3, 2, 27) (dual of [(42, 2), 24, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(360, 28, F3, 3, 27) (dual of [(28, 3), 24, 28]-NRT-code) | [i] | ||