Information on Result #1812016
Digital (42, 85, 1381)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6485, 1381, F64, 2, 43) (dual of [(1381, 2), 2677, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6485, 2049, F64, 2, 43) (dual of [(2049, 2), 4013, 44]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6485, 4098, F64, 43) (dual of [4098, 4013, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(41) [i] based on
- linear OA(6485, 4096, F64, 43) (dual of [4096, 4011, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(6483, 4096, F64, 42) (dual of [4096, 4013, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(42) ⊂ Ce(41) [i] based on
- OOA 2-folding [i] based on linear OA(6485, 4098, F64, 43) (dual of [4098, 4013, 44]-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.