Information on Result #693145

Linear OA(2549, 390625, F25, 13) (dual of [390625, 390576, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, 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 OOA(2549, 257571, F25, 2, 13) (dual of [(257571, 2), 515093, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (36, 49, 257571)-net over F25 [i]
3Linear OA(2553, 390629, F25, 14) (dual of [390629, 390576, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2549, 390629, F25, 13) (dual of [390629, 390580, 14]-code) [i]✔
5Linear OA(2563, 390639, F25, 16) (dual of [390639, 390576, 17]-code) [i]✔
6Linear OA(2551, 390639, F25, 13) (dual of [390639, 390588, 14]-code) [i]✔
7Linear OA(2573, 390649, F25, 18) (dual of [390649, 390576, 19]-code) [i]✔
8Linear OA(2553, 390649, F25, 13) (dual of [390649, 390596, 14]-code) [i]✔
9Linear OA(2586, 390662, F25, 20) (dual of [390662, 390576, 21]-code) [i]✔
10Linear OA(2596, 390672, F25, 22) (dual of [390672, 390576, 23]-code) [i]✔
11Linear OA(25107, 390683, F25, 24) (dual of [390683, 390576, 25]-code) [i]✔
12Linear OA(2550, 390639, F25, 12) (dual of [390639, 390589, 13]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
13Linear OOA(2549, 65104, F25, 13, 13) (dual of [(65104, 13), 846303, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row