Information on Result #605210

Linear OA(850, 51, F8, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,8)), using dual of repetition code with length 51

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(850, 51, F8, 49) (dual of [51, 1, 50]-code) [i]Strength Reduction
2Linear OA(850, 51, F8, 48) (dual of [51, 1, 49]-code) [i]
3Linear OA(850, 51, F8, 47) (dual of [51, 1, 48]-code) [i]
4Linear OA(850, 51, F8, 46) (dual of [51, 1, 47]-code) [i]
5Linear OA(876, 95, F8, 50) (dual of [95, 19, 51]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(877, 98, F8, 50) (dual of [98, 21, 51]-code) [i]
7Linear OA(878, 101, F8, 50) (dual of [101, 23, 51]-code) [i]
8Linear OA(889, 145, F8, 50) (dual of [145, 56, 51]-code) [i]
9Linear OA(893, 167, F8, 50) (dual of [167, 74, 51]-code) [i]
10Linear OA(894, 173, F8, 50) (dual of [173, 79, 51]-code) [i]
11Linear OA(896, 186, F8, 50) (dual of [186, 90, 51]-code) [i]
12Linear OA(897, 193, F8, 50) (dual of [193, 96, 51]-code) [i]
13Linear OA(8155, 1988, F8, 50) (dual of [1988, 1833, 51]-code) [i]
14Linear OA(8160, 2452, F8, 50) (dual of [2452, 2292, 51]-code) [i]
15Linear OA(8162, 2667, F8, 50) (dual of [2667, 2505, 51]-code) [i]
16Linear OA(8164, 2901, F8, 50) (dual of [2901, 2737, 51]-code) [i]