Information on Result #1741404
Digital (40, 60, 4179)-net over F32, using net defined by OOA based on linear OOA(3260, 4179, F32, 22, 20) (dual of [(4179, 22), 91878, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3260, 20896, F32, 2, 20) (dual of [(20896, 2), 41732, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3260, 20900, F32, 2, 20) (dual of [(20900, 2), 41740, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3260, 20900, F32, 20) (dual of [20900, 20840, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3260, 32779, F32, 20) (dual of [32779, 32719, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3249, 32768, F32, 17) (dual of [32768, 32719, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(322, 11, F32, 2) (dual of [11, 9, 3]-code or 11-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(19) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3260, 32779, F32, 20) (dual of [32779, 32719, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3260, 20900, F32, 20) (dual of [20900, 20840, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(3260, 20900, F32, 2, 20) (dual of [(20900, 2), 41740, 21]-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.