Information on Result #613774
Linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, 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(5145, 1953135, F5, 19) (dual of [1953135, 1952990, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5146, 1953137, F5, 19) (dual of [1953137, 1952991, 20]-code) | [i] | ||
| 3 | Linear OA(5147, 1953139, F5, 19) (dual of [1953139, 1952992, 20]-code) | [i] | ||
| 4 | Linear OA(5148, 1953141, F5, 19) (dual of [1953141, 1952993, 20]-code) | [i] | ||
| 5 | Linear OA(5149, 1953153, F5, 19) (dual of [1953153, 1953004, 20]-code) | [i] | ||
| 6 | Linear OA(5150, 1953140, F5, 19) (dual of [1953140, 1952990, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(5149, 1953139, F5, 19) (dual of [1953139, 1952990, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(5146, 1953135, F5, 21) (dual of [1953135, 1952989, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(5136, 1953134, F5, 19) (dual of [1953134, 1952998, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(5137, 1953144, F5, 19) (dual of [1953144, 1953007, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(5139, 1953155, F5, 19) (dual of [1953155, 1953016, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(5144, 1953169, F5, 19) (dual of [1953169, 1953025, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(5146, 1953177, F5, 19) (dual of [1953177, 1953031, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(5147, 1953181, F5, 19) (dual of [1953181, 1953034, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(5148, 1953188, F5, 19) (dual of [1953188, 1953040, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(5149, 1953192, F5, 19) (dual of [1953192, 1953043, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(5143, 1953168, F5, 19) (dual of [1953168, 1953025, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(5146, 1953180, F5, 19) (dual of [1953180, 1953034, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(5145, 1953171, F5, 19) (dual of [1953171, 1953026, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(5145, 1953179, F5, 19) (dual of [1953179, 1953034, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(5143, 1953161, F5, 19) (dual of [1953161, 1953018, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(5137, 1953145, F5, 19) (dual of [1953145, 1953008, 20]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |