Information on Result #1792038
Digital (40, 50, 182814)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(850, 182814, F8, 10) (dual of [182814, 182764, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(850, 262151, F8, 10) (dual of [262151, 262101, 11]-code), using
- 1 times code embedding in larger space [i] based on linear OA(849, 262150, F8, 10) (dual of [262150, 262101, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(849, 262144, F8, 10) (dual of [262144, 262095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(849, 262150, F8, 10) (dual of [262150, 262101, 11]-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.