Information on Result #605213

Linear OA(853, 54, F8, 53) (dual of [54, 1, 54]-code or 54-arc in PG(52,8)), using dual of repetition code with length 54

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(853, 54, F8, 52) (dual of [54, 1, 53]-code) [i]Strength Reduction
2Linear OA(853, 54, F8, 51) (dual of [54, 1, 52]-code) [i]
3Linear OA(853, 54, F8, 50) (dual of [54, 1, 51]-code) [i]
4Linear OA(853, 54, F8, 49) (dual of [54, 1, 50]-code) [i]
5Linear OA(853, 54, F8, 48) (dual of [54, 1, 49]-code) [i]
6Linear OA(879, 96, F8, 53) (dual of [96, 17, 54]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(888, 125, F8, 53) (dual of [125, 37, 54]-code) [i]
8Linear OA(889, 129, F8, 53) (dual of [129, 40, 54]-code) [i]
9Linear OA(8123, 422, F8, 53) (dual of [422, 299, 54]-code) [i]
10Linear OA(8144, 942, F8, 53) (dual of [942, 798, 54]-code) [i]
11Linear OA(8158, 1629, F8, 53) (dual of [1629, 1471, 54]-code) [i]
12Linear OA(8162, 1907, F8, 53) (dual of [1907, 1745, 54]-code) [i]