Information on Result #699388

Linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(8159, 6563, F81, 30) (dual of [6563, 6504, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8157, 6563, F81, 29) (dual of [6563, 6506, 30]-code) [i]✔
3Linear OA(8165, 6569, F81, 32) (dual of [6569, 6504, 33]-code) [i]✔
4Linear OA(8159, 6569, F81, 29) (dual of [6569, 6510, 30]-code) [i]✔
5Linear OA(8171, 6575, F81, 34) (dual of [6575, 6504, 35]-code) [i]✔
6Linear OA(8161, 6575, F81, 29) (dual of [6575, 6514, 30]-code) [i]✔
7Linear OA(8177, 6581, F81, 36) (dual of [6581, 6504, 37]-code) [i]✔
8Linear OA(8163, 6581, F81, 29) (dual of [6581, 6518, 30]-code) [i]✔
9Linear OA(8165, 6587, F81, 29) (dual of [6587, 6522, 30]-code) [i]✔
10Linear OA(8167, 6593, F81, 29) (dual of [6593, 6526, 30]-code) [i]✔
11Linear OA(8169, 6599, F81, 29) (dual of [6599, 6530, 30]-code) [i]✔
12Linear OOA(8157, 2187, F81, 3, 29) (dual of [(2187, 3), 6504, 30]-NRT-code) [i]OOA Folding
13Linear OOA(8157, 1640, F81, 4, 29) (dual of [(1640, 4), 6503, 30]-NRT-code) [i]
14Linear OOA(8157, 468, F81, 29, 29) (dual of [(468, 29), 13515, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row