Information on Result #694808

Linear OA(2749, 531441, F27, 13) (dual of [531441, 531392, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, 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(2749, 332648, F27, 2, 13) (dual of [(332648, 2), 665247, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (36, 49, 332648)-net over F27 [i]
3Linear OA(2753, 531445, F27, 14) (dual of [531445, 531392, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code) [i]✔
5Linear OA(2763, 531455, F27, 16) (dual of [531455, 531392, 17]-code) [i]✔
6Linear OA(2751, 531455, F27, 13) (dual of [531455, 531404, 14]-code) [i]✔
7Linear OA(2773, 531465, F27, 18) (dual of [531465, 531392, 19]-code) [i]✔
8Linear OA(2753, 531465, F27, 13) (dual of [531465, 531412, 14]-code) [i]✔
9Linear OA(2784, 531476, F27, 20) (dual of [531476, 531392, 21]-code) [i]✔
10Linear OA(2795, 531487, F27, 22) (dual of [531487, 531392, 23]-code) [i]✔
11Linear OA(27107, 531499, F27, 24) (dual of [531499, 531392, 25]-code) [i]✔
12Linear OA(2750, 531455, F27, 12) (dual of [531455, 531405, 13]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes