Information on Result #1081024
Linear OOA(3157, 4194378, F3, 4, 11) (dual of [(4194378, 4), 16777355, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(311, 77, F3, 4, 5) (dual of [(77, 4), 297, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F3, using
- linear OOA(3146, 4194301, F3, 4, 11) (dual of [(4194301, 4), 16777058, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3146, 8388602, F3, 2, 11) (dual of [(8388602, 2), 16777058, 12]-NRT-code), using
- trace code [i] based on linear OOA(973, 4194301, F9, 2, 11) (dual of [(4194301, 2), 8388529, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(973, 8388602, F9, 11) (dual of [8388602, 8388529, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- OOA 2-folding [i] based on linear OA(973, 8388602, F9, 11) (dual of [8388602, 8388529, 12]-code), using
- trace code [i] based on linear OOA(973, 4194301, F9, 2, 11) (dual of [(4194301, 2), 8388529, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3146, 8388602, F3, 2, 11) (dual of [(8388602, 2), 16777058, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.