Information on Result #1812017
Digital (43, 85, 1687)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6485, 1687, F64, 2, 42) (dual of [(1687, 2), 3289, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6485, 2052, F64, 2, 42) (dual of [(2052, 2), 4019, 43]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6485, 4104, F64, 42) (dual of [4104, 4019, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(38) [i] based on
- 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(6477, 4096, F64, 39) (dual of [4096, 4019, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(642, 8, F64, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(41) ⊂ Ce(38) [i] based on
- OOA 2-folding [i] based on linear OA(6485, 4104, F64, 42) (dual of [4104, 4019, 43]-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.