Information on Result #699409

Linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(8131, 6563, F81, 16) (dual of [6563, 6532, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8129, 6563, F81, 15) (dual of [6563, 6534, 16]-code) [i]✔
3Linear OA(8137, 6569, F81, 18) (dual of [6569, 6532, 19]-code) [i]✔
4Linear OA(8131, 6569, F81, 15) (dual of [6569, 6538, 16]-code) [i]✔
5Linear OA(8143, 6575, F81, 20) (dual of [6575, 6532, 21]-code) [i]✔
6Linear OA(8133, 6575, F81, 15) (dual of [6575, 6542, 16]-code) [i]✔
7Linear OA(8149, 6581, F81, 22) (dual of [6581, 6532, 23]-code) [i]✔
8Linear OA(8135, 6581, F81, 15) (dual of [6581, 6546, 16]-code) [i]✔
9Linear OA(8155, 6587, F81, 24) (dual of [6587, 6532, 25]-code) [i]✔
10Linear OA(8161, 6593, F81, 26) (dual of [6593, 6532, 27]-code) [i]✔
11Linear OA(8167, 6599, F81, 28) (dual of [6599, 6532, 29]-code) [i]✔
12Linear OA(8173, 6605, F81, 30) (dual of [6605, 6532, 31]-code) [i]✔
13Linear OOA(8129, 2187, F81, 3, 15) (dual of [(2187, 3), 6532, 16]-NRT-code) [i]OOA Folding
14Linear OOA(8129, 1640, F81, 4, 15) (dual of [(1640, 4), 6531, 16]-NRT-code) [i]
15Linear OOA(8129, 937, F81, 15, 15) (dual of [(937, 15), 14026, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row