Information on Result #694793

Linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(2789, 332354, F27, 2, 23) (dual of [(332354, 2), 664619, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (66, 89, 332354)-net over F27 [i]
3Linear OA(2793, 531445, F27, 24) (dual of [531445, 531352, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code) [i]✔
5Linear OA(27103, 531455, F27, 26) (dual of [531455, 531352, 27]-code) [i]✔
6Linear OA(2791, 531455, F27, 23) (dual of [531455, 531364, 24]-code) [i]✔
7Linear OA(27109, 531461, F27, 28) (dual of [531461, 531352, 29]-code) [i]✔
8Linear OA(2793, 531465, F27, 23) (dual of [531465, 531372, 24]-code) [i]✔
9Linear OA(2796, 531476, F27, 23) (dual of [531476, 531380, 24]-code) [i]✔
10Linear OA(2799, 531487, F27, 23) (dual of [531487, 531388, 24]-code) [i]✔
11Linear OA(27103, 531499, F27, 23) (dual of [531499, 531396, 24]-code) [i]✔