Information on Result #1797276
Digital (7, 16, 44)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(916, 44, F9, 9) (dual of [44, 28, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(916, 80, F9, 9) (dual of [80, 64, 10]-code), using
- 2 times truncation [i] based on linear OA(918, 82, F9, 11) (dual of [82, 64, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(918, 81, F9, 11) (dual of [81, 63, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(917, 81, F9, 10) (dual of [81, 64, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- 2 times truncation [i] based on linear OA(918, 82, F9, 11) (dual of [82, 64, 12]-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.