Information on Result #668291
Linear OA(32109, 1102, F32, 43) (dual of [1102, 993, 44]-code), using (u, u+v)-construction based on
- linear OA(3227, 78, F32, 21) (dual of [78, 51, 22]-code), using
- construction X applied to AG(F,53P) ⊂ AG(F,55P) [i] based on
- linear OA(3226, 75, F32, 21) (dual of [75, 49, 22]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3224, 75, F32, 19) (dual of [75, 51, 20]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76 (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,53P) ⊂ AG(F,55P) [i] based on
- linear OA(3282, 1024, F32, 43) (dual of [1024, 942, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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.