Information on Result #613600
Linear OA(546, 1953125, F5, 7) (dual of [1953125, 1953079, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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 OA(549, 1953131, F5, 7) (dual of [1953131, 1953082, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(550, 1953151, F5, 7) (dual of [1953151, 1953101, 8]-code) | [i] | ||
| 3 | Linear OOA(546, 1272053, F5, 2, 7) (dual of [(1272053, 2), 2544060, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(546, 1272053, F5, 3, 7) (dual of [(1272053, 3), 3816113, 8]-NRT-code) | [i] | ||
| 5 | Digital (39, 46, 1272053)-net over F5 | [i] | ||
| 6 | Linear OA(555, 1953134, F5, 8) (dual of [1953134, 1953079, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(546, 1953134, F5, 7) (dual of [1953134, 1953088, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(565, 1953144, F5, 9) (dual of [1953144, 1953079, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(549, 1953146, F5, 7) (dual of [1953146, 1953097, 8]-code) | [i] | ✔ | |
| 10 | Linear OA(577, 1953151, F5, 11) (dual of [1953151, 1953074, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(578, 1953157, F5, 11) (dual of [1953157, 1953079, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(576, 1953155, F5, 10) (dual of [1953155, 1953079, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(590, 1953169, F5, 12) (dual of [1953169, 1953079, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(589, 1953168, F5, 12) (dual of [1953168, 1953079, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(5100, 1953179, F5, 13) (dual of [1953179, 1953079, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(556, 1953136, F5, 8) (dual of [1953136, 1953080, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(547, 1953136, F5, 7) (dual of [1953136, 1953089, 8]-code) | [i] | ✔ | |
| 18 | Linear OA(565, 1953145, F5, 9) (dual of [1953145, 1953080, 10]-code) | [i] | ✔ | |