Information on Result #1744522
Digital (26, 49, 513)-net over F64, using net defined by OOA based on linear OOA(6449, 513, F64, 27, 23) (dual of [(513, 27), 13802, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6449, 2053, F64, 3, 23) (dual of [(2053, 3), 6110, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6449, 2055, F64, 3, 23) (dual of [(2055, 3), 6116, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6449, 2055, F64, 2, 23) (dual of [(2055, 2), 4061, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6449, 4110, F64, 23) (dual of [4110, 4061, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(644, 14, F64, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(6449, 4110, F64, 23) (dual of [4110, 4061, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6449, 2055, F64, 2, 23) (dual of [(2055, 2), 4061, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6449, 2055, F64, 3, 23) (dual of [(2055, 3), 6116, 24]-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.