Information on Result #614872

Linear OA(841, 4096, F8, 12) (dual of [4096, 4055, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12

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(841, 2645, F8, 2, 12) (dual of [(2645, 2), 5249, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(841, 2645, F8, 3, 12) (dual of [(2645, 3), 7894, 13]-NRT-code) [i]
3Digital (29, 41, 2645)-net over F8 [i]
4Linear OA(845, 4100, F8, 13) (dual of [4100, 4055, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(841, 4100, F8, 12) (dual of [4100, 4059, 13]-code) [i]✔
6Linear OA(850, 4105, F8, 14) (dual of [4105, 4055, 15]-code) [i]✔
7Linear OA(842, 4105, F8, 12) (dual of [4105, 4063, 13]-code) [i]✔
8Linear OA(856, 4111, F8, 15) (dual of [4111, 4055, 16]-code) [i]✔
9Linear OA(844, 4111, F8, 12) (dual of [4111, 4067, 13]-code) [i]✔
10Linear OA(863, 4118, F8, 17) (dual of [4118, 4055, 18]-code) [i]✔
11Linear OA(861, 4116, F8, 16) (dual of [4116, 4055, 17]-code) [i]✔
12Linear OA(868, 4123, F8, 18) (dual of [4123, 4055, 19]-code) [i]✔
13Linear OA(862, 4116, F8, 17) (dual of [4116, 4054, 18]-code) [i]✔
14Linear OA(873, 4125, F8, 19) (dual of [4125, 4052, 20]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(869, 4125, F8, 18) (dual of [4125, 4056, 19]-code) [i]✔
16Linear OA(862, 4114, F8, 17) (dual of [4114, 4052, 18]-code) [i]✔
17Linear OA(855, 4107, F8, 15) (dual of [4107, 4052, 16]-code) [i]✔
18Linear OA(851, 4107, F8, 14) (dual of [4107, 4056, 15]-code) [i]✔
19Linear OA(843, 4107, F8, 12) (dual of [4107, 4064, 13]-code) [i]✔