Information on Result #610079

Linear OA(267, 70, F2, 39) (dual of [70, 3, 40]-code), using repeating each code word 10 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(267, 70, F2, 38) (dual of [70, 3, 39]-code) [i]Strength Reduction
2Linear OA(267, 70, F2, 37) (dual of [70, 3, 38]-code) [i]
3Linear OA(268, 71, F2, 39) (dual of [71, 3, 40]-code) [i]Code Embedding in Larger Space
4Linear OA(266, 69, F2, 38) (dual of [69, 3, 39]-code) [i]Truncation
5Linear OA(265, 68, F2, 37) (dual of [68, 3, 38]-code) [i]
6Linear OA(263, 66, F2, 35) (dual of [66, 3, 36]-code) [i]
7Linear OA(262, 65, F2, 34) (dual of [65, 3, 35]-code) [i]
8Linear OOA(267, 35, F2, 2, 39) (dual of [(35, 2), 3, 40]-NRT-code) [i]OOA Folding
9Linear OOA(267, 14, F2, 5, 39) (dual of [(14, 5), 3, 40]-NRT-code) [i]