Information on Result #699394

Linear OA(8149, 6561, F81, 25) (dual of [6561, 6512, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(8151, 6563, F81, 26) (dual of [6563, 6512, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8149, 6563, F81, 25) (dual of [6563, 6514, 26]-code) [i]✔
3Linear OA(8157, 6569, F81, 28) (dual of [6569, 6512, 29]-code) [i]✔
4Linear OA(8151, 6569, F81, 25) (dual of [6569, 6518, 26]-code) [i]✔
5Linear OA(8163, 6575, F81, 30) (dual of [6575, 6512, 31]-code) [i]✔
6Linear OA(8153, 6575, F81, 25) (dual of [6575, 6522, 26]-code) [i]✔
7Linear OA(8169, 6581, F81, 32) (dual of [6581, 6512, 33]-code) [i]✔
8Linear OA(8155, 6581, F81, 25) (dual of [6581, 6526, 26]-code) [i]✔
9Linear OA(8175, 6587, F81, 34) (dual of [6587, 6512, 35]-code) [i]✔
10Linear OA(8157, 6587, F81, 25) (dual of [6587, 6530, 26]-code) [i]✔
11Linear OA(8181, 6593, F81, 36) (dual of [6593, 6512, 37]-code) [i]✔
12Linear OA(8159, 6593, F81, 25) (dual of [6593, 6534, 26]-code) [i]✔
13Linear OOA(8149, 2187, F81, 3, 25) (dual of [(2187, 3), 6512, 26]-NRT-code) [i]OOA Folding
14Linear OOA(8149, 1640, F81, 4, 25) (dual of [(1640, 4), 6511, 26]-NRT-code) [i]
15Linear OOA(8149, 546, F81, 25, 25) (dual of [(546, 25), 13601, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row