Information on Result #619279

Linear OA(8137, 531442, F81, 13) (dual of [531442, 531405, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(974, 1062884, F9, 13) (dual of [1062884, 1062810, 14]-code) [i]Trace Code
2Linear OA(8143, 531524, F81, 13) (dual of [531524, 531481, 14]-code) [i](u, u+v)-Construction
3Linear OA(8144, 531542, F81, 13) (dual of [531542, 531498, 14]-code) [i]
4Linear OA(8145, 531558, F81, 13) (dual of [531558, 531513, 14]-code) [i]
5Linear OA(8146, 531606, F81, 13) (dual of [531606, 531560, 14]-code) [i]
6Linear OA(8147, 531647, F81, 13) (dual of [531647, 531600, 14]-code) [i]
7Linear OA(8148, 538003, F81, 13) (dual of [538003, 537955, 14]-code) [i]
8Linear OA(8147, 531606, F81, 13) (dual of [531606, 531559, 14]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(8148, 531624, F81, 13) (dual of [531624, 531576, 14]-code) [i]
10Linear OA(8143, 531449, F81, 13) (dual of [531449, 531406, 14]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(8144, 531449, F81, 15) (dual of [531449, 531405, 16]-code) [i]✔
12Linear OA(8138, 531449, F81, 13) (dual of [531449, 531411, 14]-code) [i]✔
13Linear OA(8152, 531457, F81, 17) (dual of [531457, 531405, 18]-code) [i]✔
14Linear OA(8140, 531457, F81, 13) (dual of [531457, 531417, 14]-code) [i]✔
15Linear OA(8160, 531465, F81, 19) (dual of [531465, 531405, 20]-code) [i]✔
16Linear OA(8142, 531465, F81, 13) (dual of [531465, 531423, 14]-code) [i]✔
17Linear OA(8168, 531473, F81, 21) (dual of [531473, 531405, 22]-code) [i]✔
18Linear OA(8176, 531481, F81, 23) (dual of [531481, 531405, 24]-code) [i]✔