Information on Result #613762
Linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, 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(5136, 1953135, F5, 18) (dual of [1953135, 1952999, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5137, 1953137, F5, 18) (dual of [1953137, 1953000, 19]-code) | [i] | ||
| 3 | Linear OA(5138, 1953139, F5, 18) (dual of [1953139, 1953001, 19]-code) | [i] | ||
| 4 | Linear OA(5139, 1953141, F5, 18) (dual of [1953141, 1953002, 19]-code) | [i] | ||
| 5 | Linear OA(5140, 1953153, F5, 18) (dual of [1953153, 1953013, 19]-code) | [i] | ||
| 6 | Linear OA(5140, 1953139, F5, 18) (dual of [1953139, 1952999, 19]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(5136, 1953134, F5, 19) (dual of [1953134, 1952998, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(5127, 1953134, F5, 18) (dual of [1953134, 1953007, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(5146, 1953144, F5, 20) (dual of [1953144, 1952998, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(5148, 1953146, F5, 21) (dual of [1953146, 1952998, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(5128, 1953144, F5, 18) (dual of [1953144, 1953016, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(5131, 1953151, F5, 18) (dual of [1953151, 1953020, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(5132, 1953157, F5, 18) (dual of [1953157, 1953025, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(5135, 1953169, F5, 18) (dual of [1953169, 1953034, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(5137, 1953177, F5, 18) (dual of [1953177, 1953040, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(5138, 1953181, F5, 18) (dual of [1953181, 1953043, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(5139, 1953188, F5, 18) (dual of [1953188, 1953049, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(5140, 1953192, F5, 18) (dual of [1953192, 1953052, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(5134, 1953168, F5, 18) (dual of [1953168, 1953034, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(5137, 1953180, F5, 18) (dual of [1953180, 1953043, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(5136, 1953171, F5, 18) (dual of [1953171, 1953035, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(5136, 1953179, F5, 18) (dual of [1953179, 1953043, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(5128, 1953145, F5, 18) (dual of [1953145, 1953017, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |