Information on Result #663670
Linear OA(8154, 32805, F8, 30) (dual of [32805, 32651, 31]-code), using (u, u+v)-construction based on
- linear OA(823, 37, F8, 15) (dual of [37, 14, 16]-code), using
- construction X applied to AG(F,9P) ⊂ AG(F,10P) [i] based on
- linear OA(822, 34, F8, 15) (dual of [34, 12, 16]-code), using algebraic-geometric code AG(F,9P) with degP = 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- linear OA(820, 34, F8, 13) (dual of [34, 14, 14]-code), using algebraic-geometric code AG(F,10P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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.