Information on Result #612667

Linear OA(433, 257, F4, 11) (dual of [257, 224, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, 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(439, 269, F4, 11) (dual of [269, 230, 12]-code) [i](u, u+v)-Construction
2Linear OA(437, 262, F4, 11) (dual of [262, 225, 12]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(442, 266, F4, 13) (dual of [266, 224, 14]-code) [i]✔
4Linear OA(434, 266, F4, 11) (dual of [266, 232, 12]-code) [i]✔
5Linear OA(456, 273, F4, 17) (dual of [273, 217, 18]-code) [i]✔
6Linear OA(457, 275, F4, 17) (dual of [275, 218, 18]-code) [i]✔
7Linear OA(458, 281, F4, 17) (dual of [281, 223, 18]-code) [i]✔
8Linear OA(459, 283, F4, 17) (dual of [283, 224, 18]-code) [i]✔
9Linear OA(455, 278, F4, 16) (dual of [278, 223, 17]-code) [i]✔
10Linear OA(456, 280, F4, 16) (dual of [280, 224, 17]-code) [i]✔
11Linear OA(453, 274, F4, 15) (dual of [274, 221, 16]-code) [i]✔
12Linear OA(457, 276, F4, 17) (dual of [276, 219, 18]-code) [i]✔Construction XX with a Chain of Cyclic Codes
13Linear OA(456, 274, F4, 17) (dual of [274, 218, 18]-code) [i]✔
14Linear OA(455, 272, F4, 17) (dual of [272, 217, 18]-code) [i]✔
15Linear OA(452, 269, F4, 15) (dual of [269, 217, 16]-code) [i]✔
16Linear OA(444, 269, F4, 13) (dual of [269, 225, 14]-code) [i]✔
17Linear OA(439, 273, F4, 11) (dual of [273, 234, 12]-code) [i]✔
18Linear OA(438, 271, F4, 11) (dual of [271, 233, 12]-code) [i]✔