Information on Result #692932
Linear OA(16110, 283, F16, 57) (dual of [283, 173, 58]-code), using construction X applied to Ce(56) ⊂ Ce(45) based on
- linear OA(1698, 256, F16, 57) (dual of [256, 158, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(1683, 256, F16, 46) (dual of [256, 173, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(1612, 27, F16, 10) (dual of [27, 15, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 33, F16, 10) (dual of [33, 21, 11]-code), using
- extended algebraic-geometric code AGe(F,22P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1612, 33, F16, 10) (dual of [33, 21, 11]-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.