Information on Result #692968
Linear OA(16117, 286, F16, 61) (dual of [286, 169, 62]-code), using construction X applied to Ce(60) ⊂ Ce(50) based on
- linear OA(16106, 256, F16, 61) (dual of [256, 150, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(1687, 256, F16, 51) (dual of [256, 169, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(1611, 30, F16, 9) (dual of [30, 19, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1611, 33, F16, 9) (dual of [33, 22, 10]-code), using
- extended algebraic-geometric code AGe(F,23P) [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(1611, 33, F16, 9) (dual of [33, 22, 10]-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.