Information on Result #613773
Linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(5130, 390635, F5, 19) (dual of [390635, 390505, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5131, 390637, F5, 19) (dual of [390637, 390506, 20]-code) | [i] | ||
| 3 | Linear OA(5132, 390639, F5, 19) (dual of [390639, 390507, 20]-code) | [i] | ||
| 4 | Linear OA(5133, 390641, F5, 19) (dual of [390641, 390508, 20]-code) | [i] | ||
| 5 | Linear OA(5134, 390653, F5, 19) (dual of [390653, 390519, 20]-code) | [i] | ||
| 6 | Linear OA(5135, 390640, F5, 19) (dual of [390640, 390505, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(5134, 390639, F5, 19) (dual of [390639, 390505, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(5130, 390634, F5, 21) (dual of [390634, 390504, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(5121, 390633, F5, 19) (dual of [390633, 390512, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(5140, 390644, F5, 22) (dual of [390644, 390504, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(5122, 390642, F5, 19) (dual of [390642, 390520, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(5149, 390651, F5, 23) (dual of [390651, 390502, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(5150, 390654, F5, 23) (dual of [390654, 390504, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(5124, 390652, F5, 19) (dual of [390652, 390528, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(5129, 390665, F5, 19) (dual of [390665, 390536, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(5131, 390675, F5, 19) (dual of [390675, 390544, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(5133, 390685, F5, 19) (dual of [390685, 390552, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(5128, 390664, F5, 19) (dual of [390664, 390536, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(5130, 390669, F5, 19) (dual of [390669, 390539, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(5130, 390671, F5, 19) (dual of [390671, 390541, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(5130, 390674, F5, 19) (dual of [390674, 390544, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(5134, 390688, F5, 19) (dual of [390688, 390554, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(5139, 390636, F5, 22) (dual of [390636, 390497, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(5131, 390636, F5, 21) (dual of [390636, 390505, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(5123, 390644, F5, 19) (dual of [390644, 390521, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(5128, 390659, F5, 19) (dual of [390659, 390531, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(5127, 390657, F5, 19) (dual of [390657, 390530, 20]-code) | [i] | ✔ | |
| 28 | Linear OA(5126, 390655, F5, 19) (dual of [390655, 390529, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(5122, 390651, F5, 18) (dual of [390651, 390529, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |