Information on Result #1118668
Linear OOA(25615, 516, F256, 5, 9) (dual of [(516, 5), 2565, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2565, 258, F256, 5, 4) (dual of [(258, 5), 1285, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- linear OOA(25610, 258, F256, 5, 9) (dual of [(258, 5), 1280, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 10, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- extracting embedded OOA [i] based on digital (1, 10, 258)-net over F256, 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(25650, 13623, F256, 5, 18) (dual of [(13623, 5), 68065, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25667, 1678236, F256, 5, 18) (dual of [(1678236, 5), 8391113, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(25652, 13623, F256, 5, 19) (dual of [(13623, 5), 68063, 20]-NRT-code) | [i] | ||