Information on Result #717562
Linear OA(985, 115, F9, 49) (dual of [115, 30, 50]-code), using construction X applied to C([1,49]) ⊂ C([10,42]) based on
- linear OA(964, 80, F9, 49) (dual of [80, 16, 50]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(950, 80, F9, 33) (dual of [80, 30, 34]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,42}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(921, 35, F9, 15) (dual of [35, 14, 16]-code), using
- construction X applied to AG(F,8P) ⊂ AG(F,9P) [i] based on
- linear OA(920, 32, F9, 15) (dual of [32, 12, 16]-code), using algebraic-geometric code AG(F,8P) 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(918, 32, F9, 13) (dual of [32, 14, 14]-code), using algebraic-geometric code AG(F,9P) 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,8P) ⊂ AG(F,9P) [i] based on
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.