Information on Result #644672
Linear OA(975, 99, F9, 44) (dual of [99, 24, 45]-code), using construction X applied to AG(F,28P) ⊂ AG(F,40P) based on
- linear OA(961, 73, F9, 44) (dual of [73, 12, 45]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OA(949, 73, F9, 32) (dual of [73, 24, 33]-code), using algebraic-geometric code AG(F,40P) [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.