Information on Result #619264

Linear OA(8131, 531442, F81, 11) (dual of [531442, 531411, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, 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(962, 1062884, F9, 11) (dual of [1062884, 1062822, 12]-code) [i]Trace Code
2Linear OA(8136, 531524, F81, 11) (dual of [531524, 531488, 12]-code) [i](u, u+v)-Construction
3Linear OA(8137, 531542, F81, 11) (dual of [531542, 531505, 12]-code) [i]
4Linear OA(8138, 537923, F81, 11) (dual of [537923, 537885, 12]-code) [i]
5Linear OA(8140, 538004, F81, 11) (dual of [538004, 537964, 12]-code) [i]
6Linear OA(8140, 538005, F81, 11) (dual of [538005, 537965, 12]-code) [i]
7Linear OA(8140, 531454, F81, 11) (dual of [531454, 531414, 12]-code) [i]Generalized (u, u+v)-Construction
8Linear OA(8139, 531606, F81, 11) (dual of [531606, 531567, 12]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(8140, 531624, F81, 11) (dual of [531624, 531584, 12]-code) [i]
10Linear OA(8136, 531448, F81, 11) (dual of [531448, 531412, 12]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(8138, 531449, F81, 13) (dual of [531449, 531411, 14]-code) [i]✔
12Linear OA(8132, 531449, F81, 11) (dual of [531449, 531417, 12]-code) [i]✔
13Linear OA(8146, 531457, F81, 15) (dual of [531457, 531411, 16]-code) [i]✔
14Linear OA(8134, 531457, F81, 11) (dual of [531457, 531423, 12]-code) [i]✔
15Linear OA(8154, 531465, F81, 17) (dual of [531465, 531411, 18]-code) [i]✔
16Linear OA(8162, 531473, F81, 19) (dual of [531473, 531411, 20]-code) [i]✔
17Linear OA(8170, 531481, F81, 21) (dual of [531481, 531411, 22]-code) [i]✔