Information on Result #3263942
Digital (44, 59, 18725)-net over F16, using 161 times duplication based on digital (43, 58, 18725)-net over F16, using
- net defined by OOA [i] based on linear OOA(1658, 18725, F16, 15, 15) (dual of [(18725, 15), 280817, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(1658, 131076, F16, 15) (dual of [131076, 131018, 16]-code), using
- trace code [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- trace code [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(1658, 131076, F16, 15) (dual of [131076, 131018, 16]-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.