Information on Result #613722
Linear OA(597, 390626, F5, 15) (dual of [390626, 390529, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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 OA(5107, 390651, F5, 15) (dual of [390651, 390544, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(597, 205567, F5, 2, 15) (dual of [(205567, 2), 411037, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(597, 205567, F5, 3, 15) (dual of [(205567, 3), 616604, 16]-NRT-code) | [i] | ||
| 4 | Digital (82, 97, 205567)-net over F5 | [i] | ||
| 5 | Linear OA(5104, 390634, F5, 15) (dual of [390634, 390530, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(5114, 390643, F5, 17) (dual of [390643, 390529, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(598, 390643, F5, 15) (dual of [390643, 390545, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(5138, 390653, F5, 21) (dual of [390653, 390515, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(5139, 390668, F5, 21) (dual of [390668, 390529, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(5136, 390652, F5, 20) (dual of [390652, 390516, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(5137, 390666, F5, 20) (dual of [390666, 390529, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(5133, 390652, F5, 19) (dual of [390652, 390519, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(5134, 390663, F5, 19) (dual of [390663, 390529, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(5101, 390652, F5, 15) (dual of [390652, 390551, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(5102, 390663, F5, 15) (dual of [390663, 390561, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(5138, 390667, F5, 21) (dual of [390667, 390529, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(5136, 390665, F5, 20) (dual of [390665, 390529, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(5114, 390644, F5, 17) (dual of [390644, 390530, 18]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 19 | Linear OA(598, 390644, F5, 15) (dual of [390644, 390546, 16]-code) | [i] | ✔ | |