Information on Result #692944
Linear OA(16129, 287, F16, 70) (dual of [287, 158, 71]-code), using construction X applied to Ce(69) ⊂ Ce(56) based on
- linear OA(16115, 256, F16, 70) (dual of [256, 141, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [i]
- 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(1614, 31, F16, 12) (dual of [31, 17, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 33, F16, 12) (dual of [33, 19, 13]-code), using
- extended algebraic-geometric code AGe(F,20P) [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(1614, 33, F16, 12) (dual of [33, 19, 13]-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.