Information on Result #627196
Linear OA(16107, 126, F16, 77) (dual of [126, 19, 78]-code), using repeating each code word 2 times based on linear OA(1644, 63, F16, 38) (dual of [63, 19, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(1644, 64, F16, 38) (dual of [64, 20, 39]-code), using
- algebraic-geometric code AG(F,25P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,25P) [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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(16107, 63, F16, 2, 77) (dual of [(63, 2), 19, 78]-NRT-code) | [i] | OOA Folding |