Information on Result #672789

Linear OA(292, 8191, F2, 15) (dual of [8191, 8099, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(293, 8207, F2, 14) (dual of [8207, 8114, 15]-code) [i]Construction X4 with Cyclic Codes
2Linear OOA(292, 2730, F2, 3, 15) (dual of [(2730, 3), 8098, 16]-NRT-code) [i]OOA Folding
3Linear OOA(292, 1638, F2, 5, 15) (dual of [(1638, 5), 8098, 16]-NRT-code) [i]
4Linear OOA(292, 1365, F2, 6, 15) (dual of [(1365, 6), 8098, 16]-NRT-code) [i]
5Linear OOA(292, 1170, F2, 7, 15) (dual of [(1170, 7), 8098, 16]-NRT-code) [i]
6Linear OOA(292, 1170, F2, 8, 15) (dual of [(1170, 8), 9268, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row
7Linear OOA(292, 1170, F2, 15, 15) (dual of [(1170, 15), 17458, 16]-NRT-code) [i]