Information on Result #1762564
Digital (104, 115, 4194329)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3115, 4194329, F3, 2, 11) (dual of [(4194329, 2), 8388543, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(39, 28, F3, 2, 5) (dual of [(28, 2), 47, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 9, 28)-net over F3, using
- linear OOA(3106, 4194301, F3, 2, 11) (dual of [(4194301, 2), 8388496, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3106, 8388602, F3, 11) (dual of [8388602, 8388496, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- OOA 2-folding [i] based on linear OA(3106, 8388602, F3, 11) (dual of [8388602, 8388496, 12]-code), using
- linear OOA(39, 28, F3, 2, 5) (dual of [(28, 2), 47, 6]-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.