Information on Result #1744434
Digital (24, 46, 476)-net over F64, using net defined by OOA based on linear OOA(6446, 476, F64, 27, 22) (dual of [(476, 27), 12806, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6446, 1905, F64, 3, 22) (dual of [(1905, 3), 5669, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6446, 1908, F64, 3, 22) (dual of [(1908, 3), 5678, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6446, 1908, F64, 2, 22) (dual of [(1908, 2), 3770, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6446, 2053, F64, 2, 22) (dual of [(2053, 2), 4060, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6446, 4106, F64, 22) (dual of [4106, 4060, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(6446, 4107, F64, 22) (dual of [4107, 4061, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(21) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(6446, 4107, F64, 22) (dual of [4107, 4061, 23]-code), using
- OOA 2-folding [i] based on linear OA(6446, 4106, F64, 22) (dual of [4106, 4060, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(6446, 2053, F64, 2, 22) (dual of [(2053, 2), 4060, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6446, 1908, F64, 2, 22) (dual of [(1908, 2), 3770, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6446, 1908, F64, 3, 22) (dual of [(1908, 3), 5678, 23]-NRT-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.