Information on Result #613686
Linear OA(581, 390626, F5, 13) (dual of [390626, 390545, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(588, 390636, F5, 13) (dual of [390636, 390548, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(589, 390639, F5, 13) (dual of [390639, 390550, 14]-code) | [i] | ||
| 3 | Linear OA(590, 390651, F5, 13) (dual of [390651, 390561, 14]-code) | [i] | ||
| 4 | Linear OA(587, 390633, F5, 13) (dual of [390633, 390546, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(598, 390643, F5, 15) (dual of [390643, 390545, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(582, 390643, F5, 13) (dual of [390643, 390561, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(590, 390653, F5, 13) (dual of [390653, 390563, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(5143, 390678, F5, 21) (dual of [390678, 390535, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(5144, 390688, F5, 21) (dual of [390688, 390544, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(5141, 390686, F5, 20) (dual of [390686, 390545, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(590, 390667, F5, 13) (dual of [390667, 390577, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(5144, 390689, F5, 21) (dual of [390689, 390545, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(5142, 390687, F5, 21) (dual of [390687, 390545, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(598, 390644, F5, 15) (dual of [390644, 390546, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 15 | Linear OA(582, 390644, F5, 13) (dual of [390644, 390562, 14]-code) | [i] | ✔ | |