Information on Result #1741142
Digital (33, 50, 4275)-net over F32, using net defined by OOA based on linear OOA(3250, 4275, F32, 18, 17) (dual of [(4275, 18), 76900, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3250, 17101, F32, 2, 17) (dual of [(17101, 2), 34152, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 17102, F32, 2, 17) (dual of [(17102, 2), 34154, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3250, 17102, F32, 17) (dual of [17102, 17052, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3250, 32776, F32, 17) (dual of [32776, 32726, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(3249, 32769, F32, 17) (dual of [32769, 32720, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(3243, 32769, F32, 15) (dual of [32769, 32726, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3250, 32776, F32, 17) (dual of [32776, 32726, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3250, 17102, F32, 17) (dual of [17102, 17052, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 17102, F32, 2, 17) (dual of [(17102, 2), 34154, 18]-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.