Information on Result #2287031
Linear OA(1676, 103, F16, 49) (dual of [103, 27, 50]-code), using 1 times code embedding in larger space based on linear OA(1675, 102, F16, 49) (dual of [102, 27, 50]-code), using
- construction X applied to AG(F,14P) ⊂ AG(F,32P) [i] based on
- linear OA(1655, 64, F16, 49) (dual of [64, 9, 50]-code), using algebraic-geometric code AG(F,14P) [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(1620, 38, F16, 17) (dual of [38, 18, 18]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OA(1655, 64, F16, 49) (dual of [64, 9, 50]-code), using algebraic-geometric code AG(F,14P) [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.