Information on Result #694805

Linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(2757, 319374, F27, 2, 15) (dual of [(319374, 2), 638691, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (42, 57, 319374)-net over F27 [i]
3Linear OA(2761, 531445, F27, 16) (dual of [531445, 531384, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2757, 531445, F27, 15) (dual of [531445, 531388, 16]-code) [i]✔
5Linear OA(2771, 531455, F27, 18) (dual of [531455, 531384, 19]-code) [i]✔
6Linear OA(2759, 531455, F27, 15) (dual of [531455, 531396, 16]-code) [i]✔
7Linear OA(2781, 531465, F27, 20) (dual of [531465, 531384, 21]-code) [i]✔
8Linear OA(2761, 531465, F27, 15) (dual of [531465, 531404, 16]-code) [i]✔
9Linear OA(2792, 531476, F27, 22) (dual of [531476, 531384, 23]-code) [i]✔
10Linear OA(2764, 531476, F27, 15) (dual of [531476, 531412, 16]-code) [i]✔
11Linear OA(27103, 531487, F27, 24) (dual of [531487, 531384, 25]-code) [i]✔
12Linear OOA(2757, 75920, F27, 15, 15) (dual of [(75920, 15), 1138743, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row