Information on Result #1811145
Digital (22, 42, 2017)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6442, 2017, F64, 2, 20) (dual of [(2017, 2), 3992, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6442, 2053, F64, 2, 20) (dual of [(2053, 2), 4064, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6442, 4106, F64, 20) (dual of [4106, 4064, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6442, 4107, F64, 20) (dual of [4107, 4065, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(643, 11, F64, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,64) or 11-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(6442, 4107, F64, 20) (dual of [4107, 4065, 21]-code), using
- OOA 2-folding [i] based on linear OA(6442, 4106, F64, 20) (dual of [4106, 4064, 21]-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.