Information on Result #694811

Linear OA(2741, 531441, F27, 11) (dual of [531441, 531400, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(2741, 366767, F27, 2, 11) (dual of [(366767, 2), 733493, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (30, 41, 366767)-net over F27 [i]
3Linear OA(2745, 531445, F27, 12) (dual of [531445, 531400, 13]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2741, 531445, F27, 11) (dual of [531445, 531404, 12]-code) [i]✔
5Linear OA(2755, 531455, F27, 14) (dual of [531455, 531400, 15]-code) [i]✔
6Linear OA(2743, 531455, F27, 11) (dual of [531455, 531412, 12]-code) [i]✔
7Linear OA(2765, 531465, F27, 16) (dual of [531465, 531400, 17]-code) [i]✔
8Linear OA(2745, 531465, F27, 11) (dual of [531465, 531420, 12]-code) [i]✔
9Linear OA(2776, 531476, F27, 18) (dual of [531476, 531400, 19]-code) [i]✔
10Linear OA(2787, 531487, F27, 20) (dual of [531487, 531400, 21]-code) [i]✔
11Linear OA(2799, 531499, F27, 22) (dual of [531499, 531400, 23]-code) [i]✔
12Linear OOA(2741, 106288, F27, 11, 11) (dual of [(106288, 11), 1169127, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row