Information on Result #644455
Linear OA(936, 44, F9, 26) (dual of [44, 8, 27]-code), using construction X applied to AG(F,0P) ⊂ AG(F,10P) based on
- linear OA(926, 27, F9, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,9)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- linear OA(919, 27, F9, 16) (dual of [27, 8, 17]-code), using algebraic-geometric code AG(F,10P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(910, 17, F9, 9) (dual of [17, 7, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.