Information on Result #2286201
Linear OA(1688, 1048623, F16, 17) (dual of [1048623, 1048535, 18]-code), using 1 times code embedding in larger space based on linear OA(1687, 1048622, F16, 17) (dual of [1048622, 1048535, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(8) [i] based on
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1641, 1048576, F16, 9) (dual of [1048576, 1048535, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1611, 46, F16, 7) (dual of [46, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(1611, 51, F16, 7) (dual of [51, 40, 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.