Information on Result #605164

Linear OA(84, 5, F8, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,8)), using dual of repetition code with length 5

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(835, 40, F8, 27) (dual of [40, 5, 28]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(8150, 32793, F8, 29) (dual of [32793, 32643, 30]-code) [i]
3Linear OA(8124, 32787, F8, 24) (dual of [32787, 32663, 25]-code) [i]
4Linear OA(8166, 2097171, F8, 24) (dual of [2097171, 2097005, 25]-code) [i]
5Linear OA(890, 32783, F8, 18) (dual of [32783, 32693, 19]-code) [i]
6Linear OA(8120, 2097167, F8, 18) (dual of [2097167, 2097047, 19]-code) [i]
7Linear OA(870, 32778, F8, 14) (dual of [32778, 32708, 15]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(894, 2097162, F8, 14) (dual of [2097162, 2097068, 15]-code) [i]
9Linear OA(865, 32778, F8, 13) (dual of [32778, 32713, 14]-code) [i]
10Linear OA(887, 2097162, F8, 13) (dual of [2097162, 2097075, 14]-code) [i]
11Linear OA(860, 32778, F8, 12) (dual of [32778, 32718, 13]-code) [i]
12Linear OA(880, 2097162, F8, 12) (dual of [2097162, 2097082, 13]-code) [i]
13Linear OA(8173, 264, F8, 24) (dual of [264, 91, 25]-code) [i]Construction X with Cyclic Codes
14Linear OA(8104, 110, F8, 64) (dual of [110, 6, 65]-code) [i]
15Linear OA(8105, 110, F8, 69) (dual of [110, 5, 70]-code) [i]
16Linear OA(8154, 160, F8, 79) (dual of [160, 6, 80]-code) [i]
17Linear OA(873, 90, F8, 46) (dual of [90, 17, 47]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(869, 86, F8, 44) (dual of [86, 17, 45]-code) [i]
19Linear OA(874, 84, F8, 54) (dual of [84, 10, 55]-code) [i]Construction X with VarÅ¡amov Bound
20Linear OA(8118, 129, F8, 87) (dual of [129, 11, 88]-code) [i]
21Linear OA(8119, 130, F8, 88) (dual of [130, 11, 89]-code) [i]
22Linear OA(8120, 131, F8, 89) (dual of [131, 11, 90]-code) [i]
23Linear OA(8107, 120, F8, 77) (dual of [120, 13, 78]-code) [i]
24Linear OA(8123, 136, F8, 89) (dual of [136, 13, 90]-code) [i]
25Linear OA(8118, 132, F8, 85) (dual of [132, 14, 86]-code) [i]
26Linear OA(8119, 133, F8, 86) (dual of [133, 14, 87]-code) [i]
27Linear OA(8119, 134, F8, 85) (dual of [134, 15, 86]-code) [i]