Information on Result #1195354
Digital (60, 77, 131072)-net over F16, using net defined by OOA based on linear OOA(1677, 131072, F16, 17, 17) (dual of [(131072, 17), 2228147, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(1677, 1048577, F16, 17) (dual of [1048577, 1048500, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1677, 1048582, F16, 17) (dual of [1048582, 1048505, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [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(1671, 1048576, F16, 15) (dual of [1048576, 1048505, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(161, 6, F16, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(1677, 1048582, F16, 17) (dual of [1048582, 1048505, 18]-code), using
Mode: Constructive and 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.