Information on Result #664258
Linear OA(9135, 59084, F9, 26) (dual of [59084, 58949, 27]-code), using (u, u+v)-construction based on
- linear OA(919, 35, F9, 13) (dual of [35, 16, 14]-code), using
- construction X applied to AG(F,9P) ⊂ AG(F,10P) [i] based on
- linear OA(918, 32, F9, 13) (dual of [32, 14, 14]-code), using algebraic-geometric code AG(F,9P) with degP = 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using a function field by Sémirat [i]
- linear OA(916, 32, F9, 11) (dual of [32, 16, 12]-code), using algebraic-geometric code AG(F,10P) with degPÂ =Â 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32 (see above)
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,9P) ⊂ AG(F,10P) [i] based on
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
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.