Information on Result #2174857

Linear OA(216, 37, F2, 7) (dual of [37, 21, 8]-code), using adding a parity check bit based on linear OA(215, 36, F2, 6) (dual of [36, 21, 7]-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(2185, 292, F2, 53) (dual of [292, 107, 54]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2141, 293, F2, 35) (dual of [293, 152, 36]-code) [i]
3Linear OA(2145, 295, F2, 37) (dual of [295, 150, 38]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
4Linear OA(2144, 293, F2, 37) (dual of [293, 149, 38]-code) [i]
5Linear OA(2143, 291, F2, 37) (dual of [291, 148, 38]-code) [i]
6Linear OOA(216, 18, F2, 2, 7) (dual of [(18, 2), 20, 8]-NRT-code) [i]OOA Folding