Information on Result #604213

Linear OA(288, 89, F2, 88) (dual of [89, 1, 89]-code or 89-arc in PG(87,2)), using dual of repetition code with length 89

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(288, 89, F2, 87) (dual of [89, 1, 88]-code) [i]Strength Reduction
2Linear OA(288, 89, F2, 86) (dual of [89, 1, 87]-code) [i]
3Linear OA(288, 89, F2, 85) (dual of [89, 1, 86]-code) [i]
4Linear OA(288, 89, F2, 84) (dual of [89, 1, 85]-code) [i]
5Linear OA(288, 89, F2, 83) (dual of [89, 1, 84]-code) [i]
6Linear OA(288, 89, F2, 82) (dual of [89, 1, 83]-code) [i]
7Linear OA(288, 89, F2, 81) (dual of [89, 1, 82]-code) [i]
8Linear OA(288, 89, F2, 80) (dual of [89, 1, 81]-code) [i]
9Linear OA(288, 89, F2, 79) (dual of [89, 1, 80]-code) [i]
10Linear OA(288, 89, F2, 78) (dual of [89, 1, 79]-code) [i]
11Linear OA(288, 89, F2, 77) (dual of [89, 1, 78]-code) [i]
12Linear OA(288, 89, F2, 76) (dual of [89, 1, 77]-code) [i]
13Linear OA(288, 89, F2, 75) (dual of [89, 1, 76]-code) [i]
14Linear OA(288, 89, F2, 74) (dual of [89, 1, 75]-code) [i]
15Linear OA(288, 89, F2, 73) (dual of [89, 1, 74]-code) [i]
16Linear OA(288, 89, F2, 72) (dual of [89, 1, 73]-code) [i]
17Linear OA(288, 89, F2, 71) (dual of [89, 1, 72]-code) [i]
18Linear OA(288, 89, F2, 70) (dual of [89, 1, 71]-code) [i]
19Linear OA(288, 89, F2, 69) (dual of [89, 1, 70]-code) [i]
20Linear OA(288, 89, F2, 68) (dual of [89, 1, 69]-code) [i]
21Linear OA(288, 89, F2, 67) (dual of [89, 1, 68]-code) [i]
22Linear OA(288, 89, F2, 66) (dual of [89, 1, 67]-code) [i]
23Linear OA(288, 89, F2, 65) (dual of [89, 1, 66]-code) [i]
24Linear OA(288, 89, F2, 64) (dual of [89, 1, 65]-code) [i]
25Linear OA(288, 89, F2, 63) (dual of [89, 1, 64]-code) [i]
26Linear OA(288, 89, F2, 62) (dual of [89, 1, 63]-code) [i]
27Linear OA(288, 89, F2, 61) (dual of [89, 1, 62]-code) [i]
28Linear OA(288, 89, F2, 60) (dual of [89, 1, 61]-code) [i]