Information on Result #930224
Linear OOA(1675, 83, F16, 2, 50) (dual of [(83, 2), 91, 51]-NRT-code), using construction X applied to AG(2;F,77P) ⊂ AG(2;F,96P) based on
- linear OOA(1656, 64, F16, 2, 50) (dual of [(64, 2), 72, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,77P) [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(1637, 64, F16, 2, 31) (dual of [(64, 2), 91, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,96P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1619, 19, F16, 2, 18) (dual of [(19, 2), 19, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1619, 24, F16, 2, 18) (dual of [(24, 2), 29, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,29P) [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(1619, 24, F16, 2, 18) (dual of [(24, 2), 29, 19]-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.