Information on Result #1811034
Digital (16, 33, 1319)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6433, 1319, F64, 3, 17) (dual of [(1319, 3), 3924, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6433, 1366, F64, 3, 17) (dual of [(1366, 3), 4065, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6433, 4098, F64, 17) (dual of [4098, 4065, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(6433, 4096, F64, 17) (dual of [4096, 4063, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(16) ⊂ Ce(15) [i] based on
- OOA 3-folding [i] based on linear OA(6433, 4098, F64, 17) (dual of [4098, 4065, 18]-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.