Information on Result #694802

Linear OA(2765, 531441, F27, 17) (dual of [531441, 531376, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(2765, 316181, F27, 2, 17) (dual of [(316181, 2), 632297, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (48, 65, 316181)-net over F27 [i]
3Linear OA(2769, 531445, F27, 18) (dual of [531445, 531376, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2765, 531445, F27, 17) (dual of [531445, 531380, 18]-code) [i]✔
5Linear OA(2779, 531455, F27, 20) (dual of [531455, 531376, 21]-code) [i]✔
6Linear OA(2767, 531455, F27, 17) (dual of [531455, 531388, 18]-code) [i]✔
7Linear OA(2789, 531465, F27, 22) (dual of [531465, 531376, 23]-code) [i]✔
8Linear OA(2769, 531465, F27, 17) (dual of [531465, 531396, 18]-code) [i]✔
9Linear OA(27100, 531476, F27, 24) (dual of [531476, 531376, 25]-code) [i]✔
10Linear OA(2772, 531476, F27, 17) (dual of [531476, 531404, 18]-code) [i]✔
11Linear OOA(2765, 66430, F27, 17, 17) (dual of [(66430, 17), 1129245, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row