Information on Result #614845

Linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

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 OA(828, 4095, F8, 8) (dual of [4095, 4067, 9]-code) [i]Truncation
2Linear OA(833, 4105, F8, 9) (dual of [4105, 4072, 10]-code) [i](u, u+v)-Construction
3Linear OA(832, 4139, F8, 9) (dual of [4139, 4107, 10]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(833, 4249, F8, 9) (dual of [4249, 4216, 10]-code) [i]
5Linear OA(833, 4100, F8, 10) (dual of [4100, 4067, 11]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(830, 4101, F8, 9) (dual of [4101, 4071, 10]-code) [i]✔
7Linear OA(838, 4105, F8, 11) (dual of [4105, 4067, 12]-code) [i]✔
8Linear OA(831, 4105, F8, 9) (dual of [4105, 4074, 10]-code) [i]✔
9Linear OA(832, 4107, F8, 9) (dual of [4107, 4075, 10]-code) [i]✔
10Linear OA(844, 4111, F8, 12) (dual of [4111, 4067, 13]-code) [i]✔
11Linear OA(833, 4112, F8, 9) (dual of [4112, 4079, 10]-code) [i]✔
12Linear OA(849, 4116, F8, 13) (dual of [4116, 4067, 14]-code) [i]✔
13Linear OA(843, 4107, F8, 12) (dual of [4107, 4064, 13]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(840, 4108, F8, 11) (dual of [4108, 4068, 12]-code) [i]✔
15Linear OOA(829, 2048, F8, 2, 9) (dual of [(2048, 2), 4067, 10]-NRT-code) [i]OOA Folding
16Linear OOA(829, 1365, F8, 3, 9) (dual of [(1365, 3), 4066, 10]-NRT-code) [i]
17Linear OOA(829, 1023, F8, 9, 9) (dual of [(1023, 9), 9178, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row