Information on Result #1740744
Digital (32, 43, 349529)-net over F32, using net defined by OOA based on linear OOA(3243, 349529, F32, 14, 11) (dual of [(349529, 14), 4893363, 12]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3243, 1048588, F32, 2, 11) (dual of [(1048588, 2), 2097133, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3243, 1048590, F32, 2, 11) (dual of [(1048590, 2), 2097137, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3243, 1048590, F32, 11) (dual of [1048590, 1048547, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(3241, 1048576, F32, 11) (dual of [1048576, 1048535, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(3229, 1048576, F32, 8) (dual of [1048576, 1048547, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(322, 14, F32, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3243, 1048590, F32, 11) (dual of [1048590, 1048547, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(3243, 1048590, F32, 2, 11) (dual of [(1048590, 2), 2097137, 12]-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.