Information on Result #610075

Linear OA(281, 84, F2, 47) (dual of [84, 3, 48]-code), using repeating each code word 12 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), 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(281, 84, F2, 46) (dual of [84, 3, 47]-code) [i]Strength Reduction
2Linear OA(281, 84, F2, 45) (dual of [84, 3, 46]-code) [i]
3Linear OA(281, 84, F2, 44) (dual of [84, 3, 45]-code) [i]
4Linear OA(282, 85, F2, 47) (dual of [85, 3, 48]-code) [i]Code Embedding in Larger Space
5Linear OA(280, 83, F2, 46) (dual of [83, 3, 47]-code) [i]Truncation
6Linear OA(279, 82, F2, 45) (dual of [82, 3, 46]-code) [i]
7Linear OA(277, 80, F2, 43) (dual of [80, 3, 44]-code) [i]
8Linear OA(276, 79, F2, 42) (dual of [79, 3, 43]-code) [i]
9Linear OA(275, 78, F2, 41) (dual of [78, 3, 42]-code) [i]
10Linear OOA(281, 42, F2, 2, 47) (dual of [(42, 2), 3, 48]-NRT-code) [i]OOA Folding
11Linear OOA(281, 28, F2, 3, 47) (dual of [(28, 3), 3, 48]-NRT-code) [i]