Information on Result #661653
Linear OA(954, 59, F9, 43) (dual of [59, 5, 44]-code), using juxtaposition based on
- linear OA(923, 28, F9, 20) (dual of [28, 5, 21]-code), using
- extended algebraic-geometric code AGe(F,7P) [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,7P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(926, 31, F9, 22) (dual of [31, 5, 23]-code), using
- construction X applied to AG(F,4P) ⊂ AG(F,7P) [i] based on
- linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using algebraic-geometric code AG(F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- linear OA(922, 27, F9, 19) (dual of [27, 5, 20]-code), using algebraic-geometric code AG(F,7P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(92, 4, F9, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- construction X applied to AG(F,4P) ⊂ AG(F,7P) [i] based on
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
None.