Information on Result #870820
Linear OOA(3293, 566, F32, 2, 35) (dual of [(566, 2), 1039, 36]-NRT-code), using OOA 2-folding based on linear OA(3293, 1132, F32, 35) (dual of [1132, 1039, 36]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3227, 106, F32, 17) (dual of [106, 79, 18]-code), using
- construction X applied to AG(F,85P) ⊂ AG(F,87P) [i] based on
- linear OA(3226, 103, F32, 17) (dual of [103, 77, 18]-code), using algebraic-geometric code AG(F,85P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- linear OA(3224, 103, F32, 15) (dual of [103, 79, 16]-code), using algebraic-geometric code AG(F,87P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104 (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,85P) ⊂ AG(F,87P) [i] based on
- linear OA(3266, 1026, F32, 35) (dual of [1026, 960, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3266, 1024, F32, 35) (dual of [1024, 958, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3227, 106, F32, 17) (dual of [106, 79, 18]-code), using
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.