Information on Result #613082

Linear OA(4183, 16385, F4, 35) (dual of [16385, 16202, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(4204, 16408, F4, 35) (dual of [16408, 16204, 36]-code) [i](u, u+v)-Construction
2Linear OA(4205, 16410, F4, 35) (dual of [16410, 16205, 36]-code) [i]
3Linear OA(4206, 16412, F4, 35) (dual of [16412, 16206, 36]-code) [i]
4Linear OA(4208, 16415, F4, 35) (dual of [16415, 16207, 36]-code) [i]
5Linear OA(4199, 16402, F4, 35) (dual of [16402, 16203, 36]-code) [i]✔Construction X with Cyclic Codes
6Linear OA(4198, 16400, F4, 37) (dual of [16400, 16202, 38]-code) [i]✔
7Linear OA(4184, 16400, F4, 35) (dual of [16400, 16216, 36]-code) [i]✔
8Linear OA(4220, 16409, F4, 41) (dual of [16409, 16189, 42]-code) [i]✔
9Linear OA(4221, 16423, F4, 41) (dual of [16423, 16202, 42]-code) [i]✔
10Linear OA(4217, 16406, F4, 40) (dual of [16406, 16189, 41]-code) [i]✔
11Linear OA(4218, 16420, F4, 40) (dual of [16420, 16202, 41]-code) [i]✔
12Linear OA(4216, 16418, F4, 39) (dual of [16418, 16202, 40]-code) [i]✔
13Linear OA(4214, 16406, F4, 38) (dual of [16406, 16192, 39]-code) [i]✔
14Linear OA(4192, 16409, F4, 35) (dual of [16409, 16217, 36]-code) [i]✔
15Linear OA(4193, 16423, F4, 35) (dual of [16423, 16230, 36]-code) [i]✔
16Linear OA(4189, 16406, F4, 34) (dual of [16406, 16217, 35]-code) [i]✔
17Linear OA(4190, 16420, F4, 34) (dual of [16420, 16230, 35]-code) [i]✔
18Linear OA(4241, 16443, F4, 43) (dual of [16443, 16202, 44]-code) [i]✔
19Linear OA(4238, 16440, F4, 42) (dual of [16440, 16202, 43]-code) [i]✔
20Linear OA(4199, 16443, F4, 35) (dual of [16443, 16244, 36]-code) [i]✔
21Linear OA(4196, 16440, F4, 34) (dual of [16440, 16244, 35]-code) [i]✔
22Linear OA(4258, 16450, F4, 45) (dual of [16450, 16192, 46]-code) [i]✔
23Linear OA(4260, 16462, F4, 44) (dual of [16462, 16202, 45]-code) [i]✔
24Linear OA(4202, 16450, F4, 35) (dual of [16450, 16248, 36]-code) [i]✔
25Linear OA(4205, 16463, F4, 35) (dual of [16463, 16258, 36]-code) [i]✔
26Linear OA(4220, 16421, F4, 41) (dual of [16421, 16201, 42]-code) [i]✔
27Linear OA(4203, 16453, F4, 35) (dual of [16453, 16250, 36]-code) [i]✔
28Linear OA(4204, 16457, F4, 35) (dual of [16457, 16253, 36]-code) [i]✔
29Linear OA(4220, 16422, F4, 41) (dual of [16422, 16202, 42]-code) [i]✔
30Linear OA(4192, 16422, F4, 35) (dual of [16422, 16230, 36]-code) [i]✔
31Linear OA(4239, 16441, F4, 43) (dual of [16441, 16202, 44]-code) [i]✔
32Linear OA(4197, 16441, F4, 35) (dual of [16441, 16244, 36]-code) [i]✔