Information on Result #645481
Linear OA(16100, 127, F16, 63) (dual of [127, 27, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,32P) based on
- linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [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(1637, 63, F16, 31) (dual of [63, 26, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code) (see above)
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.