Information on Result #707449
Linear OA(416, 1023, F4, 5) (dual of [1023, 1007, 6]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {337,338,339,340,341}, and designed minimum distance d ≥ |I|+1 = 6
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(416, 619, F4, 2, 5) (dual of [(619, 2), 1222, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(416, 619, F4, 3, 5) (dual of [(619, 3), 1841, 6]-NRT-code) | [i] | ||
| 3 | Digital (11, 16, 619)-net over F4 | [i] | ||
| 4 | Linear OA(424, 1041, F4, 6) (dual of [1041, 1017, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(422, 1034, F4, 6) (dual of [1034, 1012, 7]-code) | [i] | ✔ | |
| 6 | Linear OOA(416, 511, F4, 3, 5) (dual of [(511, 3), 1517, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 7 | Linear OOA(416, 511, F4, 5, 5) (dual of [(511, 5), 2539, 6]-NRT-code) | [i] | ||