Information on Result #682133

Linear OA(591, 1953125, F5, 13) (dual of [1953125, 1953034, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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:

ResultThis
result
only		Method
1Linear OA(5100, 1953134, F5, 14) (dual of [1953134, 1953034, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(591, 1953134, F5, 13) (dual of [1953134, 1953043, 14]-code) [i]✔
3Linear OA(5112, 1953146, F5, 16) (dual of [1953146, 1953034, 17]-code) [i]✔
4Linear OA(5122, 1953151, F5, 17) (dual of [1953151, 1953029, 18]-code) [i]✔
5Linear OA(5123, 1953157, F5, 17) (dual of [1953157, 1953034, 18]-code) [i]✔
6Linear OA(595, 1953151, F5, 13) (dual of [1953151, 1953056, 14]-code) [i]✔
7Linear OA(596, 1953157, F5, 13) (dual of [1953157, 1953061, 14]-code) [i]✔
8Linear OA(5135, 1953169, F5, 18) (dual of [1953169, 1953034, 19]-code) [i]✔
9Linear OA(599, 1953169, F5, 13) (dual of [1953169, 1953070, 14]-code) [i]✔
10Linear OA(5146, 1953177, F5, 19) (dual of [1953177, 1953031, 20]-code) [i]✔
11Linear OA(5147, 1953181, F5, 19) (dual of [1953181, 1953034, 20]-code) [i]✔
12Linear OA(5134, 1953168, F5, 18) (dual of [1953168, 1953034, 19]-code) [i]✔
13Linear OA(598, 1953168, F5, 13) (dual of [1953168, 1953070, 14]-code) [i]✔
14Linear OA(5146, 1953180, F5, 19) (dual of [1953180, 1953034, 20]-code) [i]✔
15Linear OA(5145, 1953171, F5, 19) (dual of [1953171, 1953026, 20]-code) [i]✔
16Linear OA(5145, 1953179, F5, 19) (dual of [1953179, 1953034, 20]-code) [i]✔
17Linear OA(5100, 1953179, F5, 13) (dual of [1953179, 1953079, 14]-code) [i]✔