Information on Result #680917
Linear OA(4214, 1097, F4, 50) (dual of [1097, 883, 51]-code), using construction X applied to Ce(49) ⊂ Ce(37) based on
- linear OA(4186, 1024, F4, 50) (dual of [1024, 838, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(4141, 1024, F4, 38) (dual of [1024, 883, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(428, 73, F4, 11) (dual of [73, 45, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(428, 76, F4, 11) (dual of [76, 48, 12]-code), using
- trace code [i] based on linear OA(1614, 38, F16, 11) (dual of [38, 24, 12]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- trace code [i] based on linear OA(1614, 38, F16, 11) (dual of [38, 24, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(428, 76, F4, 11) (dual of [76, 48, 12]-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.