Information on Result #1715222
Digital (132, 156, 3462)-net over F3, using net defined by OOA based on linear OOA(3156, 3462, F3, 28, 24) (dual of [(3462, 28), 96780, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3156, 10387, F3, 4, 24) (dual of [(10387, 4), 41392, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3156, 10387, F3, 24) (dual of [10387, 10231, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3156, 19731, F3, 24) (dual of [19731, 19575, 25]-code), using
- strength reduction [i] based on linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- strength reduction [i] based on linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3156, 19731, F3, 24) (dual of [19731, 19575, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3156, 10387, F3, 24) (dual of [10387, 10231, 25]-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.