Information on Result #682223
Linear OA(5113, 390626, F5, 17) (dual of [390626, 390513, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(5113, 265868, F5, 2, 17) (dual of [(265868, 2), 531623, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5113, 265868, F5, 3, 17) (dual of [(265868, 3), 797491, 18]-NRT-code) | [i] | ||
| 3 | Digital (96, 113, 265868)-net over F5 | [i] | ||
| 4 | Linear OA(5130, 390643, F5, 19) (dual of [390643, 390513, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5132, 390632, F5, 21) (dual of [390632, 390500, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(5133, 390646, F5, 21) (dual of [390646, 390513, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(5131, 390632, F5, 20) (dual of [390632, 390501, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(5114, 390643, F5, 17) (dual of [390643, 390529, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(5114, 390644, F5, 17) (dual of [390644, 390530, 18]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |