Information on Result #930435
Linear OOA(16118, 87, F16, 2, 89) (dual of [(87, 2), 56, 90]-NRT-code), using construction X applied to AG(2;F,38P) ⊂ AG(2;F,61P) based on
- linear OOA(1695, 64, F16, 2, 89) (dual of [(64, 2), 33, 90]-NRT-code), using algebraic-geometric NRT-code AG(2;F,38P) [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(1623, 23, F16, 2, 22) (dual of [(23, 2), 23, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1623, 24, F16, 2, 22) (dual of [(24, 2), 25, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,25P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1623, 24, F16, 2, 22) (dual of [(24, 2), 25, 23]-NRT-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.
Other Results with Identical Parameters
None.
Depending Results
None.