Information on Result #613761
Linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(5122, 390635, F5, 18) (dual of [390635, 390513, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5123, 390637, F5, 18) (dual of [390637, 390514, 19]-code) | [i] | ||
| 3 | Linear OA(5124, 390639, F5, 18) (dual of [390639, 390515, 19]-code) | [i] | ||
| 4 | Linear OA(5125, 390641, F5, 18) (dual of [390641, 390516, 19]-code) | [i] | ||
| 5 | Linear OA(5126, 390653, F5, 18) (dual of [390653, 390527, 19]-code) | [i] | ||
| 6 | Linear OA(5126, 390639, F5, 18) (dual of [390639, 390513, 19]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(5121, 390633, F5, 19) (dual of [390633, 390512, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(5113, 390633, F5, 18) (dual of [390633, 390520, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(5130, 390642, F5, 20) (dual of [390642, 390512, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(5132, 390644, F5, 21) (dual of [390644, 390512, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(5114, 390642, F5, 18) (dual of [390642, 390528, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(5141, 390651, F5, 22) (dual of [390651, 390510, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(5142, 390654, F5, 22) (dual of [390654, 390512, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(5117, 390651, F5, 18) (dual of [390651, 390534, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(5118, 390654, F5, 18) (dual of [390654, 390536, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(5121, 390665, F5, 18) (dual of [390665, 390544, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(5123, 390675, F5, 18) (dual of [390675, 390552, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(5125, 390685, F5, 18) (dual of [390685, 390560, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(5120, 390664, F5, 18) (dual of [390664, 390544, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(5122, 390669, F5, 18) (dual of [390669, 390547, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(5122, 390671, F5, 18) (dual of [390671, 390549, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(5122, 390674, F5, 18) (dual of [390674, 390552, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(5144, 390658, F5, 22) (dual of [390658, 390514, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(5143, 390656, F5, 22) (dual of [390656, 390513, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(5131, 390636, F5, 21) (dual of [390636, 390505, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(5131, 390644, F5, 20) (dual of [390644, 390513, 21]-code) | [i] | ✔ | |
| 27 | Linear OA(5116, 390645, F5, 18) (dual of [390645, 390529, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(5120, 390658, F5, 18) (dual of [390658, 390538, 19]-code) | [i] | ✔ | |
| 29 | Linear OA(5119, 390656, F5, 18) (dual of [390656, 390537, 19]-code) | [i] | ✔ | |