Information on Result #1745232
Digital (45, 81, 633)-net over F64, using net defined by OOA based on linear OOA(6481, 633, F64, 39, 36) (dual of [(633, 39), 24606, 37]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(6481, 3799, F64, 3, 36) (dual of [(3799, 3), 11316, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6481, 3803, F64, 3, 36) (dual of [(3803, 3), 11328, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6481, 3803, F64, 36) (dual of [3803, 3722, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(6481, 4128, F64, 36) (dual of [4128, 4047, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(24) [i] based on
- linear OA(6471, 4096, F64, 36) (dual of [4096, 4025, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(6449, 4096, F64, 25) (dual of [4096, 4047, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(6410, 32, F64, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- construction X applied to Ce(35) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(6481, 4128, F64, 36) (dual of [4128, 4047, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6481, 3803, F64, 36) (dual of [3803, 3722, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(6481, 3803, F64, 3, 36) (dual of [(3803, 3), 11328, 37]-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.