Information on Result #609996

Linear OA(288, 90, F2, 59) (dual of [90, 2, 60]-code), using repeating each code word 30 times based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using

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, 90, F2, 58) (dual of [90, 2, 59]-code) [i]Strength Reduction
2Linear OA(288, 90, F2, 57) (dual of [90, 2, 58]-code) [i]
3Linear OA(288, 90, F2, 56) (dual of [90, 2, 57]-code) [i]
4Linear OA(288, 90, F2, 55) (dual of [90, 2, 56]-code) [i]
5Linear OA(288, 90, F2, 54) (dual of [90, 2, 55]-code) [i]
6Linear OA(288, 90, F2, 53) (dual of [90, 2, 54]-code) [i]
7Linear OA(288, 90, F2, 52) (dual of [90, 2, 53]-code) [i]
8Linear OA(287, 89, F2, 58) (dual of [89, 2, 59]-code) [i]Truncation
9Linear OA(286, 88, F2, 57) (dual of [88, 2, 58]-code) [i]
10Linear OA(284, 86, F2, 55) (dual of [86, 2, 56]-code) [i]
11Linear OA(283, 85, F2, 54) (dual of [85, 2, 55]-code) [i]
12Linear OA(281, 83, F2, 52) (dual of [83, 2, 53]-code) [i]
13Linear OA(280, 82, F2, 51) (dual of [82, 2, 52]-code) [i]
14Linear OA(278, 80, F2, 49) (dual of [80, 2, 50]-code) [i]
15Linear OA(277, 79, F2, 48) (dual of [79, 2, 49]-code) [i]
16Linear OA(275, 77, F2, 46) (dual of [77, 2, 47]-code) [i]
17Linear OA(274, 76, F2, 45) (dual of [76, 2, 46]-code) [i]
18Linear OA(272, 74, F2, 43) (dual of [74, 2, 44]-code) [i]
19Linear OA(271, 73, F2, 42) (dual of [73, 2, 43]-code) [i]
20Linear OA(269, 71, F2, 40) (dual of [71, 2, 41]-code) [i]
21Linear OOA(288, 45, F2, 2, 59) (dual of [(45, 2), 2, 60]-NRT-code) [i]OOA Folding
22Linear OOA(288, 30, F2, 3, 59) (dual of [(30, 3), 2, 60]-NRT-code) [i]
23Linear OOA(288, 18, F2, 5, 59) (dual of [(18, 5), 2, 60]-NRT-code) [i]