Information on Result #3261322
Digital (39, 47, 131075)-net over F8, using 81 times duplication based on digital (38, 46, 131075)-net over F8, using
- net defined by OOA [i] based on linear OOA(846, 131075, F8, 8, 8) (dual of [(131075, 8), 1048554, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(846, 524300, F8, 8) (dual of [524300, 524254, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(846, 524302, F8, 8) (dual of [524302, 524256, 9]-code), using
- trace code [i] based on linear OA(6423, 262151, F64, 8) (dual of [262151, 262128, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(6423, 262151, F64, 8) (dual of [262151, 262128, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(846, 524302, F8, 8) (dual of [524302, 524256, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(846, 524300, F8, 8) (dual of [524300, 524254, 9]-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.