Information on Result #1714756
Digital (160, 181, 104891)-net over F3, using net defined by OOA based on linear OOA(3181, 104891, F3, 25, 21) (dual of [(104891, 25), 2622094, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3181, 209783, F3, 5, 21) (dual of [(209783, 5), 1048734, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3181, 209783, F3, 2, 21) (dual of [(209783, 2), 419385, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3181, 265751, F3, 2, 21) (dual of [(265751, 2), 531321, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3181, 531502, F3, 21) (dual of [531502, 531321, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3180, 531501, F3, 21) (dual of [531501, 531321, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(3169, 531442, F3, 21) (dual of [531442, 531273, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3121, 531442, F3, 15) (dual of [531442, 531321, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 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([0,10]) ⊂ C([0,7]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3180, 531501, F3, 21) (dual of [531501, 531321, 22]-code), using
- OOA 2-folding [i] based on linear OA(3181, 531502, F3, 21) (dual of [531502, 531321, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(3181, 265751, F3, 2, 21) (dual of [(265751, 2), 531321, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3181, 209783, F3, 2, 21) (dual of [(209783, 2), 419385, 22]-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.