Information on Result #734754
Linear OA(6482, 4228, F64, 31) (dual of [4228, 4146, 32]-code), using (u, u+v)-construction based on
- linear OA(6421, 130, F64, 15) (dual of [130, 109, 16]-code), using
- construction X applied to AG(F,111P) ⊂ AG(F,113P) [i] based on
- linear OA(6420, 127, F64, 15) (dual of [127, 107, 16]-code), using algebraic-geometric code AG(F,111P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6418, 127, F64, 13) (dual of [127, 109, 14]-code), using algebraic-geometric code AG(F,113P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,111P) ⊂ AG(F,113P) [i] based on
- linear OA(6461, 4098, F64, 31) (dual of [4098, 4037, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [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.