Information on Result #734388
Linear OA(3257, 1048626, F32, 13) (dual of [1048626, 1048569, 14]-code), using (u, u+v)-construction based on
- linear OA(328, 46, F32, 6) (dual of [46, 38, 7]-code), using
- construction X applied to AG(F,36P) ⊂ AG(F,38P) [i] based on
- linear OA(327, 43, F32, 6) (dual of [43, 36, 7]-code), using algebraic-geometric code AG(F,36P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(325, 43, F32, 4) (dual of [43, 38, 5]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (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,36P) ⊂ AG(F,38P) [i] based on
- linear OA(3249, 1048580, F32, 13) (dual of [1048580, 1048531, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(3249, 1048576, F32, 13) (dual of [1048576, 1048527, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 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(12) ⊂ Ce(11) [i] based on
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.