Information on Result #617772

Linear OA(27100, 19683, F27, 35) (dual of [19683, 19583, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(27100, 9948, F27, 2, 35) (dual of [(9948, 2), 19796, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (65, 100, 9948)-net over F27 [i]
3Linear OA(27103, 19686, F27, 36) (dual of [19686, 19583, 37]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(27100, 19686, F27, 35) (dual of [19686, 19586, 36]-code) [i]✔
5Linear OA(27107, 19690, F27, 37) (dual of [19690, 19583, 38]-code) [i]✔
6Linear OA(27101, 19690, F27, 35) (dual of [19690, 19589, 36]-code) [i]✔
7Linear OA(27102, 19694, F27, 35) (dual of [19694, 19592, 36]-code) [i]✔
8Linear OA(27103, 19698, F27, 35) (dual of [19698, 19595, 36]-code) [i]✔
9Linear OA(27104, 19702, F27, 35) (dual of [19702, 19598, 36]-code) [i]✔
10Linear OA(27105, 19706, F27, 35) (dual of [19706, 19601, 36]-code) [i]✔
11Linear OA(27106, 19710, F27, 35) (dual of [19710, 19604, 36]-code) [i]✔
12Linear OA(27109, 19716, F27, 35) (dual of [19716, 19607, 36]-code) [i]✔
13Linear OA(27110, 19720, F27, 35) (dual of [19720, 19610, 36]-code) [i]✔
14Linear OA(27108, 19713, F27, 35) (dual of [19713, 19605, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OOA(27100, 1157, F27, 35, 35) (dual of [(1157, 35), 40395, 36]-NRT-code) [i]OOA Folding and Stacking with Additional Row