Information on Result #614861

Linear OA(837, 4096, F8, 11) (dual of [4096, 4059, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(837, 2422, F8, 2, 11) (dual of [(2422, 2), 4807, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(837, 2422, F8, 3, 11) (dual of [(2422, 3), 7229, 12]-NRT-code) [i]
3Digital (26, 37, 2422)-net over F8 [i]
4Linear OA(841, 4100, F8, 12) (dual of [4100, 4059, 13]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(837, 4100, F8, 11) (dual of [4100, 4063, 12]-code) [i]✔
6Linear OA(846, 4105, F8, 13) (dual of [4105, 4059, 14]-code) [i]✔
7Linear OA(838, 4105, F8, 11) (dual of [4105, 4067, 12]-code) [i]✔
8Linear OA(852, 4111, F8, 14) (dual of [4111, 4059, 15]-code) [i]✔
9Linear OA(841, 4112, F8, 11) (dual of [4112, 4071, 12]-code) [i]✔
10Linear OA(857, 4116, F8, 15) (dual of [4116, 4059, 16]-code) [i]✔
11Linear OA(864, 4123, F8, 17) (dual of [4123, 4059, 18]-code) [i]✔
12Linear OA(869, 4125, F8, 18) (dual of [4125, 4056, 19]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(865, 4125, F8, 17) (dual of [4125, 4060, 18]-code) [i]✔
14Linear OA(851, 4107, F8, 14) (dual of [4107, 4056, 15]-code) [i]✔
15Linear OA(847, 4107, F8, 13) (dual of [4107, 4060, 14]-code) [i]✔
16Linear OA(840, 4108, F8, 11) (dual of [4108, 4068, 12]-code) [i]✔
17Linear OOA(837, 819, F8, 11, 11) (dual of [(819, 11), 8972, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row