Information on Result #699400

Linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(8143, 6563, F81, 22) (dual of [6563, 6520, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8141, 6563, F81, 21) (dual of [6563, 6522, 22]-code) [i]✔
3Linear OA(8149, 6569, F81, 24) (dual of [6569, 6520, 25]-code) [i]✔
4Linear OA(8143, 6569, F81, 21) (dual of [6569, 6526, 22]-code) [i]✔
5Linear OA(8155, 6575, F81, 26) (dual of [6575, 6520, 27]-code) [i]✔
6Linear OA(8145, 6575, F81, 21) (dual of [6575, 6530, 22]-code) [i]✔
7Linear OA(8161, 6581, F81, 28) (dual of [6581, 6520, 29]-code) [i]✔
8Linear OA(8147, 6581, F81, 21) (dual of [6581, 6534, 22]-code) [i]✔
9Linear OA(8167, 6587, F81, 30) (dual of [6587, 6520, 31]-code) [i]✔
10Linear OA(8149, 6587, F81, 21) (dual of [6587, 6538, 22]-code) [i]✔
11Linear OA(8173, 6593, F81, 32) (dual of [6593, 6520, 33]-code) [i]✔
12Linear OA(8179, 6599, F81, 34) (dual of [6599, 6520, 35]-code) [i]✔
13Linear OOA(8141, 2187, F81, 3, 21) (dual of [(2187, 3), 6520, 22]-NRT-code) [i]OOA Folding
14Linear OOA(8141, 1640, F81, 4, 21) (dual of [(1640, 4), 6519, 22]-NRT-code) [i]
15Linear OOA(8141, 656, F81, 21, 21) (dual of [(656, 21), 13735, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row