Information on Result #682571
Linear OA(5133, 15626, F5, 27) (dual of [15626, 15493, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)
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(5133, 12460, F5, 2, 27) (dual of [(12460, 2), 24787, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5133, 12460, F5, 3, 27) (dual of [(12460, 3), 37247, 28]-NRT-code) | [i] | ||
| 3 | Digital (106, 133, 12460)-net over F5 | [i] | ||
| 4 | Linear OA(5146, 15639, F5, 29) (dual of [15639, 15493, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5148, 15632, F5, 31) (dual of [15632, 15484, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(5149, 15642, F5, 31) (dual of [15642, 15493, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(5147, 15632, F5, 30) (dual of [15632, 15485, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(5134, 15639, F5, 27) (dual of [15639, 15505, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(5137, 15652, F5, 27) (dual of [15652, 15515, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(5138, 15655, F5, 27) (dual of [15655, 15517, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(5136, 15653, F5, 26) (dual of [15653, 15517, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(5143, 15672, F5, 27) (dual of [15672, 15529, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(5134, 15652, F5, 25) (dual of [15652, 15518, 26]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |