Information on Result #1744356
Digital (24, 45, 513)-net over F64, using net defined by OOA based on linear OOA(6445, 513, F64, 27, 21) (dual of [(513, 27), 13806, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6445, 2053, F64, 3, 21) (dual of [(2053, 3), 6114, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6445, 2055, F64, 3, 21) (dual of [(2055, 3), 6120, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6445, 2055, F64, 2, 21) (dual of [(2055, 2), 4065, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6445, 4110, F64, 21) (dual of [4110, 4065, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(6441, 4096, F64, 21) (dual of [4096, 4055, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(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(20) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(6445, 4110, F64, 21) (dual of [4110, 4065, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6445, 2055, F64, 2, 21) (dual of [(2055, 2), 4065, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6445, 2055, F64, 3, 21) (dual of [(2055, 3), 6120, 22]-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.