Information on Result #682219
Linear OA(572, 1953124, F5, 10) (dual of [1953124, 1953052, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(572, 1503098, F5, 2, 10) (dual of [(1503098, 2), 3006124, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(572, 1503098, F5, 3, 10) (dual of [(1503098, 3), 4509222, 11]-NRT-code) | [i] | ||
| 3 | Digital (62, 72, 1503098)-net over F5 | [i] | ||
| 4 | Linear OA(573, 1953135, F5, 10) (dual of [1953135, 1953062, 11]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 5 | Linear OOA(572, 976562, F5, 2, 10) (dual of [(976562, 2), 1953052, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(572, 651041, F5, 3, 10) (dual of [(651041, 3), 1953051, 11]-NRT-code) | [i] | ||