Information on Result #1801449
Digital (37, 56, 3754)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1656, 3754, F16, 19) (dual of [3754, 3698, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1656, 4104, F16, 19) (dual of [4104, 4048, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(1655, 4097, F16, 19) (dual of [4097, 4042, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 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(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([0,9]) ⊂ C([0,8]) [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.