Information on Result #619261

Linear OA(8121, 6562, F81, 11) (dual of [6562, 6541, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)

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(942, 13124, F9, 11) (dual of [13124, 13082, 12]-code) [i]Trace Code
2Linear OA(8166, 13124, F81, 23) (dual of [13124, 13058, 24]-code) [i](u, u+v)-Construction
3Linear OA(8126, 6644, F81, 11) (dual of [6644, 6618, 12]-code) [i]
4Linear OA(8127, 6662, F81, 11) (dual of [6662, 6635, 12]-code) [i]
5Linear OA(8128, 13043, F81, 11) (dual of [13043, 13015, 12]-code) [i]
6Linear OA(8130, 13124, F81, 11) (dual of [13124, 13094, 12]-code) [i]
7Linear OA(8129, 6726, F81, 11) (dual of [6726, 6697, 12]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(8126, 6568, F81, 11) (dual of [6568, 6542, 12]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(8126, 6567, F81, 13) (dual of [6567, 6541, 14]-code) [i]✔
10Linear OA(8122, 6567, F81, 11) (dual of [6567, 6545, 12]-code) [i]✔
11Linear OA(8132, 6573, F81, 15) (dual of [6573, 6541, 16]-code) [i]✔
12Linear OA(8124, 6573, F81, 11) (dual of [6573, 6549, 12]-code) [i]✔
13Linear OA(8138, 6579, F81, 17) (dual of [6579, 6541, 18]-code) [i]✔
14Linear OA(8144, 6585, F81, 19) (dual of [6585, 6541, 20]-code) [i]✔
15Linear OA(8150, 6591, F81, 21) (dual of [6591, 6541, 22]-code) [i]✔
16Linear OOA(8121, 3281, F81, 2, 11) (dual of [(3281, 2), 6541, 12]-NRT-code) [i]OOA Folding