Information on Result #1801355
Digital (33, 50, 3667)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1650, 3667, F16, 17) (dual of [3667, 3617, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1650, 4104, F16, 17) (dual of [4104, 4054, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(1649, 4097, F16, 17) (dual of [4097, 4048, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(1643, 4097, F16, 15) (dual of [4097, 4054, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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
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.