Information on Result #610061

Linear OA(2130, 133, F2, 75) (dual of [133, 3, 76]-code), using repeating each code word 19 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(2130, 133, F2, 74) (dual of [133, 3, 75]-code) [i]Strength Reduction
2Linear OA(2130, 133, F2, 73) (dual of [133, 3, 74]-code) [i]
3Linear OA(2130, 133, F2, 72) (dual of [133, 3, 73]-code) [i]
4Linear OA(2130, 133, F2, 71) (dual of [133, 3, 72]-code) [i]
5Linear OA(2131, 134, F2, 75) (dual of [134, 3, 76]-code) [i]Code Embedding in Larger Space
6Linear OA(2129, 132, F2, 74) (dual of [132, 3, 75]-code) [i]Truncation
7Linear OA(2128, 131, F2, 73) (dual of [131, 3, 74]-code) [i]
8Linear OA(2126, 129, F2, 71) (dual of [129, 3, 72]-code) [i]
9Linear OA(2125, 128, F2, 70) (dual of [128, 3, 71]-code) [i]
10Linear OA(2124, 127, F2, 69) (dual of [127, 3, 70]-code) [i]
11Linear OA(2122, 125, F2, 67) (dual of [125, 3, 68]-code) [i]
12Linear OA(2121, 124, F2, 66) (dual of [124, 3, 67]-code) [i]
13Linear OA(2119, 122, F2, 64) (dual of [122, 3, 65]-code) [i]