Information on Result #1740642
Digital (26, 35, 524294)-net over F32, using net defined by OOA based on linear OOA(3235, 524294, F32, 10, 9) (dual of [(524294, 10), 5242905, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3235, 1048589, F32, 2, 9) (dual of [(1048589, 2), 2097143, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3235, 1048590, F32, 2, 9) (dual of [(1048590, 2), 2097145, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3235, 1048590, F32, 9) (dual of [1048590, 1048555, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(3233, 1048576, F32, 9) (dual of [1048576, 1048543, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(3221, 1048576, F32, 6) (dual of [1048576, 1048555, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(8) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3235, 1048590, F32, 9) (dual of [1048590, 1048555, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(3235, 1048590, F32, 2, 9) (dual of [(1048590, 2), 2097145, 10]-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.