Information on Result #613041

Linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(4168, 16384, F4, 32) (dual of [16384, 16216, 33]-code) [i]Truncation
2Linear OA(4189, 16407, F4, 33) (dual of [16407, 16218, 34]-code) [i](u, u+v)-Construction
3Linear OA(4190, 16409, F4, 33) (dual of [16409, 16219, 34]-code) [i]
4Linear OA(4191, 16411, F4, 33) (dual of [16411, 16220, 34]-code) [i]
5Linear OA(4185, 16402, F4, 33) (dual of [16402, 16217, 34]-code) [i]✔Construction X with Cyclic Codes
6Linear OA(4184, 16400, F4, 35) (dual of [16400, 16216, 36]-code) [i]✔
7Linear OA(4170, 16400, F4, 31) (dual of [16400, 16230, 32]-code) [i]✔
8Linear OA(4172, 16391, F4, 33) (dual of [16391, 16219, 34]-code) [i]✔
9Linear OA(4173, 16402, F4, 33) (dual of [16402, 16229, 34]-code) [i]✔
10Linear OA(4174, 16404, F4, 33) (dual of [16404, 16230, 34]-code) [i]✔
11Linear OA(4172, 16402, F4, 32) (dual of [16402, 16230, 33]-code) [i]✔
12Linear OA(4202, 16418, F4, 37) (dual of [16418, 16216, 38]-code) [i]✔
13Linear OA(4200, 16406, F4, 36) (dual of [16406, 16206, 37]-code) [i]✔
14Linear OA(4178, 16409, F4, 33) (dual of [16409, 16231, 34]-code) [i]✔
15Linear OA(4179, 16423, F4, 33) (dual of [16423, 16244, 34]-code) [i]✔
16Linear OA(4175, 16406, F4, 32) (dual of [16406, 16231, 33]-code) [i]✔
17Linear OA(4176, 16420, F4, 32) (dual of [16420, 16244, 33]-code) [i]✔
18Linear OA(4174, 16418, F4, 31) (dual of [16418, 16244, 32]-code) [i]✔
19Linear OA(4172, 16406, F4, 30) (dual of [16406, 16234, 31]-code) [i]✔
20Linear OA(4227, 16443, F4, 41) (dual of [16443, 16216, 42]-code) [i]✔
21Linear OA(4224, 16440, F4, 40) (dual of [16440, 16216, 41]-code) [i]✔
22Linear OA(4221, 16437, F4, 39) (dual of [16437, 16216, 40]-code) [i]✔
23Linear OA(4218, 16428, F4, 38) (dual of [16428, 16210, 39]-code) [i]✔
24Linear OA(4219, 16435, F4, 38) (dual of [16435, 16216, 39]-code) [i]✔
25Linear OA(4185, 16443, F4, 33) (dual of [16443, 16258, 34]-code) [i]✔
26Linear OA(4182, 16440, F4, 32) (dual of [16440, 16258, 33]-code) [i]✔
27Linear OA(4179, 16437, F4, 31) (dual of [16437, 16258, 32]-code) [i]✔
28Linear OA(4176, 16428, F4, 30) (dual of [16428, 16252, 31]-code) [i]✔
29Linear OA(4244, 16450, F4, 43) (dual of [16450, 16206, 44]-code) [i]✔
30Linear OA(4247, 16463, F4, 43) (dual of [16463, 16216, 44]-code) [i]✔
31Linear OA(4178, 16421, F4, 33) (dual of [16421, 16243, 34]-code) [i]✔
32Linear OA(4245, 16453, F4, 43) (dual of [16453, 16208, 44]-code) [i]✔
33Linear OA(4246, 16457, F4, 43) (dual of [16457, 16211, 44]-code) [i]✔
34Linear OA(4178, 16422, F4, 33) (dual of [16422, 16244, 34]-code) [i]✔
35Linear OA(4225, 16441, F4, 41) (dual of [16441, 16216, 42]-code) [i]✔
36Linear OA(4183, 16441, F4, 33) (dual of [16441, 16258, 34]-code) [i]✔