Information on Result #617778

Linear OA(27103, 19683, F27, 36) (dual of [19683, 19580, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36

Mode: Constructive and linear.

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(27103, 10230, F27, 2, 36) (dual of [(10230, 2), 20357, 37]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (67, 103, 10230)-net over F27 [i]
3Linear OA(27106, 19686, F27, 37) (dual of [19686, 19580, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(27103, 19686, F27, 36) (dual of [19686, 19583, 37]-code) [i]✔
5Linear OA(27110, 19690, F27, 38) (dual of [19690, 19580, 39]-code) [i]✔
6Linear OA(27104, 19690, F27, 36) (dual of [19690, 19586, 37]-code) [i]✔
7Linear OA(27105, 19694, F27, 36) (dual of [19694, 19589, 37]-code) [i]✔
8Linear OA(27106, 19698, F27, 36) (dual of [19698, 19592, 37]-code) [i]✔
9Linear OA(27107, 19702, F27, 36) (dual of [19702, 19595, 37]-code) [i]✔
10Linear OA(27108, 19706, F27, 36) (dual of [19706, 19598, 37]-code) [i]✔
11Linear OA(27109, 19710, F27, 36) (dual of [19710, 19601, 37]-code) [i]✔
12Linear OA(27110, 19712, F27, 36) (dual of [19712, 19602, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OOA(27103, 1093, F27, 36, 36) (dual of [(1093, 36), 39245, 37]-NRT-code) [i]OA Folding and Stacking