Information on Result #1107234
Linear OOA(317, 231, F3, 5, 5) (dual of [(231, 5), 1138, 6]-NRT-code), using appending kth column based on linear OOA(317, 231, F3, 4, 5) (dual of [(231, 4), 907, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(31, 77, F3, 4, 1) (dual of [(77, 4), 307, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 4, 1) for arbitrarily large s, using
- appending 3 arbitrary columns [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, 4, 1) for arbitrarily large s, using
- linear OOA(35, 77, F3, 4, 2) (dual of [(77, 4), 303, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 4, 2) (dual of [(121, 4), 479, 3]-NRT-code), using
- appending 2 arbitrary columns [i] 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
- appending 2 arbitrary columns [i] based on linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 4, 2) (dual of [(121, 4), 479, 3]-NRT-code), using
- 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(31, 77, F3, 4, 1) (dual of [(77, 4), 307, 2]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3108, 1677951, F3, 5, 10) (dual of [(1677951, 5), 8389647, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3165, 4194532, F3, 5, 10) (dual of [(4194532, 5), 20972495, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(3123, 1677951, F3, 5, 11) (dual of [(1677951, 5), 8389632, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3181, 4194532, F3, 5, 11) (dual of [(4194532, 5), 20972479, 12]-NRT-code) | [i] | ||
| 5 | Digital (12, 17, 231)-net over F3 | [i] | Net Defined by OOA | |