Information on Result #604166

Linear OA(241, 42, F2, 41) (dual of [42, 1, 42]-code or 42-arc in PG(40,2)), using dual of repetition code with length 42

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(241, 42, F2, 40) (dual of [42, 1, 41]-code) [i]Strength Reduction
2Linear OA(241, 42, F2, 39) (dual of [42, 1, 40]-code) [i]
3Linear OA(241, 42, F2, 38) (dual of [42, 1, 39]-code) [i]
4Linear OA(241, 42, F2, 37) (dual of [42, 1, 38]-code) [i]
5Linear OA(241, 42, F2, 36) (dual of [42, 1, 37]-code) [i]
6Linear OA(241, 42, F2, 35) (dual of [42, 1, 36]-code) [i]
7Linear OA(241, 42, F2, 34) (dual of [42, 1, 35]-code) [i]
8Linear OA(241, 42, F2, 33) (dual of [42, 1, 34]-code) [i]
9Linear OA(241, 42, F2, 32) (dual of [42, 1, 33]-code) [i]
10Linear OA(241, 42, F2, 31) (dual of [42, 1, 32]-code) [i]
11Linear OA(241, 42, F2, 30) (dual of [42, 1, 31]-code) [i]
12Linear OA(241, 42, F2, 29) (dual of [42, 1, 30]-code) [i]
13Linear OA(241, 42, F2, 28) (dual of [42, 1, 29]-code) [i]