Information on Result #719077
Linear OA(927, 728, F9, 10) (dual of [728, 701, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, 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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(927, 590, F9, 2, 10) (dual of [(590, 2), 1153, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(927, 590, F9, 3, 10) (dual of [(590, 3), 1743, 11]-NRT-code) | [i] | ||
| 3 | Digital (17, 27, 590)-net over F9 | [i] | ||
| 4 | Linear OA(936, 740, F9, 13) (dual of [740, 704, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(962, 767, F9, 18) (dual of [767, 705, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(955, 759, F9, 17) (dual of [759, 704, 18]-code) | [i] | ✔ | |