Information on Result #1741344
Digital (55, 74, 134554)-net over F32, using net defined by OOA based on linear OOA(3274, 134554, F32, 22, 19) (dual of [(134554, 22), 2960114, 20]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3274, 672771, F32, 2, 19) (dual of [(672771, 2), 1345468, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3274, 672774, F32, 2, 19) (dual of [(672774, 2), 1345474, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3274, 672774, F32, 19) (dual of [672774, 672700, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3274, 1048586, F32, 19) (dual of [1048586, 1048512, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(3273, 1048577, F32, 19) (dual of [1048577, 1048504, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3265, 1048577, F32, 17) (dual of [1048577, 1048512, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 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([0,9]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3274, 1048586, F32, 19) (dual of [1048586, 1048512, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3274, 672774, F32, 19) (dual of [672774, 672700, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(3274, 672774, F32, 2, 19) (dual of [(672774, 2), 1345474, 20]-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.