Information on Result #668605
Linear OA(3293, 32834, F32, 26) (dual of [32834, 32741, 27]-code), using (u, u+v)-construction based on
- linear OA(3217, 66, F32, 13) (dual of [66, 49, 14]-code), using
- construction X applied to AG(F,49P) ⊂ AG(F,51P) [i] based on
- linear OA(3216, 63, F32, 13) (dual of [63, 47, 14]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3214, 63, F32, 11) (dual of [63, 49, 12]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,49P) ⊂ AG(F,51P) [i] based on
- linear OA(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, 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.