Information on Result #644664
Linear OA(982, 99, F9, 51) (dual of [99, 17, 52]-code), using construction X applied to AG(F,21P) ⊂ AG(F,33P) based on
- linear OA(968, 73, F9, 51) (dual of [73, 5, 52]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OA(956, 73, F9, 39) (dual of [73, 17, 40]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OA(914, 26, F9, 11) (dual of [26, 12, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [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,16P) [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(914, 28, F9, 11) (dual of [28, 14, 12]-code), 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
None.