Information on Result #1715212
Digital (125, 149, 3156)-net over F3, using net defined by OOA based on linear OOA(3149, 3156, F3, 28, 24) (dual of [(3156, 28), 88219, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3149, 9469, F3, 4, 24) (dual of [(9469, 4), 37727, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 9471, F3, 4, 24) (dual of [(9471, 4), 37735, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3149, 9471, F3, 2, 24) (dual of [(9471, 2), 18793, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 9853, F3, 2, 24) (dual of [(9853, 2), 19557, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3149, 19706, F3, 24) (dual of [19706, 19557, 25]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [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(3127, 19684, F3, 21) (dual of [19684, 19557, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- OOA 2-folding [i] based on linear OA(3149, 19706, F3, 24) (dual of [19706, 19557, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 9853, F3, 2, 24) (dual of [(9853, 2), 19557, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3149, 9471, F3, 2, 24) (dual of [(9471, 2), 18793, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 9471, F3, 4, 24) (dual of [(9471, 4), 37735, 25]-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.