Information on Result #613810
Linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(5128, 390625, F5, 20) (dual of [390625, 390497, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(5141, 390641, F5, 21) (dual of [390641, 390500, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(5142, 390643, F5, 21) (dual of [390643, 390501, 22]-code) | [i] | ||
| 4 | Linear OA(5143, 390655, F5, 21) (dual of [390655, 390512, 22]-code) | [i] | ||
| 5 | Linear OA(5139, 390637, F5, 21) (dual of [390637, 390498, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(5146, 390643, F5, 23) (dual of [390643, 390497, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(5130, 390643, F5, 19) (dual of [390643, 390513, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(5132, 390632, F5, 21) (dual of [390632, 390500, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(5133, 390646, F5, 21) (dual of [390646, 390513, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(5131, 390632, F5, 20) (dual of [390632, 390501, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(5138, 390653, F5, 21) (dual of [390653, 390515, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(5139, 390668, F5, 21) (dual of [390668, 390529, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(5136, 390652, F5, 20) (dual of [390652, 390516, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(5137, 390666, F5, 20) (dual of [390666, 390529, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(5133, 390652, F5, 19) (dual of [390652, 390519, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(5134, 390663, F5, 19) (dual of [390663, 390529, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(5143, 390678, F5, 21) (dual of [390678, 390535, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(5144, 390688, F5, 21) (dual of [390688, 390544, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(5141, 390686, F5, 20) (dual of [390686, 390545, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(5138, 390667, F5, 21) (dual of [390667, 390529, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(5136, 390665, F5, 20) (dual of [390665, 390529, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(5144, 390689, F5, 21) (dual of [390689, 390545, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(5142, 390687, F5, 21) (dual of [390687, 390545, 22]-code) | [i] | ✔ | |
| 24 | Linear OOA(5129, 195313, F5, 2, 21) (dual of [(195313, 2), 390497, 22]-NRT-code) | [i] | OOA Folding | |