Information on Result #682136
Linear OA(573, 1953125, F5, 11) (dual of [1953125, 1953052, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(582, 1953134, F5, 12) (dual of [1953134, 1953052, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(574, 1953135, F5, 11) (dual of [1953135, 1953061, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(574, 1953144, F5, 10) (dual of [1953144, 1953070, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(576, 1953146, F5, 11) (dual of [1953146, 1953070, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(5103, 1953155, F5, 14) (dual of [1953155, 1953052, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(577, 1953151, F5, 11) (dual of [1953151, 1953074, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(578, 1953157, F5, 11) (dual of [1953157, 1953079, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(576, 1953155, F5, 10) (dual of [1953155, 1953079, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(5117, 1953169, F5, 16) (dual of [1953169, 1953052, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(578, 1953166, F5, 10) (dual of [1953166, 1953088, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(5128, 1953177, F5, 17) (dual of [1953177, 1953049, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(5129, 1953181, F5, 17) (dual of [1953181, 1953052, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(5139, 1953188, F5, 18) (dual of [1953188, 1953049, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(5140, 1953192, F5, 18) (dual of [1953192, 1953052, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(5116, 1953168, F5, 16) (dual of [1953168, 1953052, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(580, 1953168, F5, 11) (dual of [1953168, 1953088, 12]-code) | [i] | ✔ | |
| 17 | Linear OA(5128, 1953180, F5, 17) (dual of [1953180, 1953052, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(5127, 1953171, F5, 17) (dual of [1953171, 1953044, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(5127, 1953179, F5, 17) (dual of [1953179, 1953052, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(5107, 1953161, F5, 14) (dual of [1953161, 1953054, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(574, 1953145, F5, 10) (dual of [1953145, 1953071, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |