Information on Result #1620682
Linear OOA(3115, 2097164, F3, 5, 11) (dual of [(2097164, 5), 10485705, 12]-NRT-code), using OOA 2-folding based on linear OOA(3115, 4194328, F3, 3, 11) (dual of [(4194328, 3), 12582869, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3115, 4194329, F3, 3, 11) (dual of [(4194329, 3), 12582872, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] 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
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3115, 4194329, F3, 2, 11) (dual of [(4194329, 2), 8388543, 12]-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.
Other Results with Identical Parameters
None.
Depending Results
None.