Information on Result #1734022
Digital (31, 42, 28180)-net over F16, using net defined by OOA based on linear OOA(1642, 28180, F16, 14, 11) (dual of [(28180, 14), 394478, 12]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1642, 84541, F16, 2, 11) (dual of [(84541, 2), 169040, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1642, 84542, F16, 2, 11) (dual of [(84542, 2), 169042, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1642, 84542, F16, 11) (dual of [84542, 84500, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1642, 131074, F16, 11) (dual of [131074, 131032, 12]-code), using
- trace code [i] based on linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- trace code [i] based on linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1642, 131074, F16, 11) (dual of [131074, 131032, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1642, 84542, F16, 11) (dual of [84542, 84500, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(1642, 84542, F16, 2, 11) (dual of [(84542, 2), 169042, 12]-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.