Information on Result #1741538
Digital (61, 82, 133527)-net over F32, using net defined by OOA based on linear OOA(3282, 133527, F32, 22, 21) (dual of [(133527, 22), 2937512, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3282, 667636, F32, 2, 21) (dual of [(667636, 2), 1335190, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3282, 667636, F32, 21) (dual of [667636, 667554, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3282, 1048586, F32, 21) (dual of [1048586, 1048504, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(3281, 1048577, F32, 21) (dual of [1048577, 1048496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 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(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([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3282, 1048586, F32, 21) (dual of [1048586, 1048504, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3282, 667636, F32, 21) (dual of [667636, 667554, 22]-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.