Information on Result #906197
Linear OOA(3124, 4194586, F3, 2, 11) (dual of [(4194586, 2), 8389048, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(318, 285, F3, 2, 5) (dual of [(285, 2), 552, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(31, 95, F3, 2, 1) (dual of [(95, 2), 189, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 2, 1) for arbitrarily large s, using
- linear OOA(35, 95, F3, 2, 2) (dual of [(95, 2), 185, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- Hamming code H(5,3) [i]
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- linear OOA(312, 95, F3, 2, 5) (dual of [(95, 2), 178, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 12, 95)-net over F3, using
- linear OOA(31, 95, F3, 2, 1) (dual of [(95, 2), 189, 2]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- 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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3124, 2097293, F3, 4, 11) (dual of [(2097293, 4), 8389048, 12]-NRT-code) | [i] | OOA Folding | |