Information on Result #663647
Linear OA(8101, 539, F8, 31) (dual of [539, 438, 32]-code), using (u, u+v)-construction based on
- linear OA(819, 27, F8, 15) (dual of [27, 8, 16]-code), using
- construction X applied to AG(F,4P) ⊂ AG(F,5P) [i] based on
- linear OA(818, 24, F8, 15) (dual of [24, 6, 16]-code), using algebraic-geometric code AG(F,4P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- linear OA(816, 24, F8, 13) (dual of [24, 8, 14]-code), using algebraic-geometric code AG(F,5P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (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,4P) ⊂ AG(F,5P) [i] based on
- linear OA(882, 512, F8, 31) (dual of [512, 430, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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.