Information on Result #694796

Linear OA(2781, 531441, F27, 21) (dual of [531441, 531360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(2781, 324358, F27, 2, 21) (dual of [(324358, 2), 648635, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (60, 81, 324358)-net over F27 [i]
3Linear OA(2785, 531445, F27, 22) (dual of [531445, 531360, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2781, 531445, F27, 21) (dual of [531445, 531364, 22]-code) [i]✔
5Linear OA(2795, 531455, F27, 24) (dual of [531455, 531360, 25]-code) [i]✔
6Linear OA(2783, 531455, F27, 21) (dual of [531455, 531372, 22]-code) [i]✔
7Linear OA(27105, 531465, F27, 26) (dual of [531465, 531360, 27]-code) [i]✔
8Linear OA(2785, 531465, F27, 21) (dual of [531465, 531380, 22]-code) [i]✔
9Linear OA(2788, 531476, F27, 21) (dual of [531476, 531388, 22]-code) [i]✔
10Linear OA(2791, 531487, F27, 21) (dual of [531487, 531396, 22]-code) [i]✔
11Linear OOA(2781, 53144, F27, 21, 21) (dual of [(53144, 21), 1115943, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row