Information on Result #645378
Linear OA(1678, 105, F16, 50) (dual of [105, 27, 51]-code), using construction X applied to AG(F,13P) ⊂ AG(F,32P) based on
- linear OA(1656, 64, F16, 50) (dual of [64, 8, 51]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1622, 41, F16, 18) (dual of [41, 19, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 45, F16, 18) (dual of [45, 23, 19]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1622, 45, F16, 18) (dual of [45, 23, 19]-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.