Information on Result #1801824
Digital (56, 75, 83420)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1675, 83420, F16, 19) (dual of [83420, 83345, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1675, 131077, F16, 19) (dual of [131077, 131002, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1674, 131076, F16, 19) (dual of [131076, 131002, 20]-code), using
- trace code [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- trace code [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1674, 131076, F16, 19) (dual of [131076, 131002, 20]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.