Information on Result #1740940
Digital (43, 57, 262149)-net over F32, using net defined by OOA based on linear OOA(3257, 262149, F32, 18, 14) (dual of [(262149, 18), 4718625, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3257, 1048597, F32, 2, 14) (dual of [(1048597, 2), 2097137, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3257, 1048600, F32, 2, 14) (dual of [(1048600, 2), 2097143, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3257, 1048600, F32, 14) (dual of [1048600, 1048543, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- linear OA(3253, 1048576, F32, 14) (dual of [1048576, 1048523, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(324, 24, F32, 4) (dual of [24, 20, 5]-code or 24-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3257, 1048600, F32, 14) (dual of [1048600, 1048543, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(3257, 1048600, F32, 2, 14) (dual of [(1048600, 2), 2097143, 15]-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.