Information on Result #692887
Linear OA(1675, 275, F16, 38) (dual of [275, 200, 39]-code), using construction X applied to Ce(37) ⊂ Ce(29) based on
- linear OA(1667, 256, F16, 38) (dual of [256, 189, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(1656, 256, F16, 30) (dual of [256, 200, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(168, 19, F16, 7) (dual of [19, 11, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(168, 24, F16, 7) (dual of [24, 16, 8]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(168, 24, F16, 7) (dual of [24, 16, 8]-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.