Information on Result #1812126
Digital (44, 89, 1424)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6489, 1424, F64, 2, 45) (dual of [(1424, 2), 2759, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6489, 2049, F64, 2, 45) (dual of [(2049, 2), 4009, 46]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6489, 4098, F64, 45) (dual of [4098, 4009, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(43) [i] based on
- linear OA(6489, 4096, F64, 45) (dual of [4096, 4007, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(6487, 4096, F64, 44) (dual of [4096, 4009, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [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(44) ⊂ Ce(43) [i] based on
- OOA 2-folding [i] based on linear OA(6489, 4098, F64, 45) (dual of [4098, 4009, 46]-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.