Information on Result #3176340
Digital (65, 81, 131075)-net over F16, using 1 times m-reduction based on digital (65, 82, 131075)-net over F16, using
- net defined by OOA [i] based on linear OOA(1682, 131075, F16, 17, 17) (dual of [(131075, 17), 2228193, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(1682, 1048601, F16, 17) (dual of [1048601, 1048519, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1682, 1048602, F16, 17) (dual of [1048602, 1048520, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [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(1656, 1048576, F16, 12) (dual of [1048576, 1048520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(166, 26, F16, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
- 1 times truncation [i] based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(1682, 1048602, F16, 17) (dual of [1048602, 1048520, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(1682, 1048601, F16, 17) (dual of [1048601, 1048519, 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.