Information on Result #604178

Linear OA(253, 54, F2, 53) (dual of [54, 1, 54]-code or 54-arc in PG(52,2)), 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(253, 54, F2, 52) (dual of [54, 1, 53]-code) [i]Strength Reduction
2Linear OA(253, 54, F2, 51) (dual of [54, 1, 52]-code) [i]
3Linear OA(253, 54, F2, 50) (dual of [54, 1, 51]-code) [i]
4Linear OA(253, 54, F2, 49) (dual of [54, 1, 50]-code) [i]
5Linear OA(253, 54, F2, 48) (dual of [54, 1, 49]-code) [i]
6Linear OA(253, 54, F2, 47) (dual of [54, 1, 48]-code) [i]
7Linear OA(253, 54, F2, 46) (dual of [54, 1, 47]-code) [i]
8Linear OA(253, 54, F2, 45) (dual of [54, 1, 46]-code) [i]
9Linear OA(253, 54, F2, 44) (dual of [54, 1, 45]-code) [i]
10Linear OA(253, 54, F2, 43) (dual of [54, 1, 44]-code) [i]
11Linear OA(253, 54, F2, 42) (dual of [54, 1, 43]-code) [i]
12Linear OA(253, 54, F2, 41) (dual of [54, 1, 42]-code) [i]
13Linear OA(253, 54, F2, 40) (dual of [54, 1, 41]-code) [i]
14Linear OA(253, 54, F2, 39) (dual of [54, 1, 40]-code) [i]
15Linear OA(253, 54, F2, 38) (dual of [54, 1, 39]-code) [i]
16Linear OA(253, 54, F2, 37) (dual of [54, 1, 38]-code) [i]
17Linear OA(253, 54, F2, 36) (dual of [54, 1, 37]-code) [i]