Information on Result #2517143
Linear OOA(16122, 89, F16, 2, 90) (dual of [(89, 2), 56, 91]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(16120, 88, F16, 2, 90) (dual of [(88, 2), 56, 91]-NRT-code), using
- construction X applied to AG(2;F,37P) ⊂ AG(2;F,61P) [i] based on
- linear OOA(1696, 64, F16, 2, 90) (dual of [(64, 2), 32, 91]-NRT-code), using algebraic-geometric NRT-code AG(2;F,37P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1672, 64, F16, 2, 66) (dual of [(64, 2), 56, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,61P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1624, 24, F16, 2, 23) (dual of [(24, 2), 24, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(1696, 64, F16, 2, 90) (dual of [(64, 2), 32, 91]-NRT-code), using algebraic-geometric NRT-code AG(2;F,37P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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.
Other Results with Identical Parameters
None.
Depending Results
None.