Information on Result #679028

Linear OA(4183, 16384, F4, 35) (dual of [16384, 16201, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OOA(4183, 9150, F4, 2, 35) (dual of [(9150, 2), 18117, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4183, 9150, F4, 3, 35) (dual of [(9150, 3), 27267, 36]-NRT-code) [i]
3Digital (148, 183, 9150)-net over F4 [i]
4Linear OA(4191, 16392, F4, 37) (dual of [16392, 16201, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4183, 16391, F4, 35) (dual of [16391, 16208, 36]-code) [i]✔
6Linear OA(4200, 16401, F4, 38) (dual of [16401, 16201, 39]-code) [i]✔
7Linear OA(4209, 16410, F4, 39) (dual of [16410, 16201, 40]-code) [i]✔
8Linear OA(4188, 16410, F4, 35) (dual of [16410, 16222, 36]-code) [i]✔
9Linear OA(4190, 16419, F4, 35) (dual of [16419, 16229, 36]-code) [i]✔
10Linear OA(4231, 16432, F4, 42) (dual of [16432, 16201, 43]-code) [i]✔
11Linear OA(4193, 16429, F4, 35) (dual of [16429, 16236, 36]-code) [i]✔
12Linear OA(4251, 16449, F4, 45) (dual of [16449, 16198, 46]-code) [i]✔
13Linear OA(4254, 16455, F4, 45) (dual of [16455, 16201, 46]-code) [i]✔
14Linear OA(4201, 16448, F4, 35) (dual of [16448, 16247, 36]-code) [i]✔
15Linear OA(4204, 16454, F4, 35) (dual of [16454, 16250, 36]-code) [i]✔
16Linear OA(4252, 16452, F4, 45) (dual of [16452, 16200, 46]-code) [i]✔
17Linear OA(4253, 16454, F4, 45) (dual of [16454, 16201, 46]-code) [i]✔
18Linear OA(4251, 16452, F4, 44) (dual of [16452, 16201, 45]-code) [i]✔
19Linear OA(4202, 16452, F4, 35) (dual of [16452, 16250, 36]-code) [i]✔
20Linear OA(4229, 16426, F4, 42) (dual of [16426, 16197, 43]-code) [i]✔
21Linear OA(4230, 16430, F4, 42) (dual of [16430, 16200, 43]-code) [i]✔
22Linear OA(4192, 16428, F4, 35) (dual of [16428, 16236, 36]-code) [i]✔
23Linear OA(4251, 16450, F4, 45) (dual of [16450, 16199, 46]-code) [i]✔
24Linear OA(4200, 16447, F4, 35) (dual of [16447, 16247, 36]-code) [i]✔
25Linear OA(4201, 16451, F4, 35) (dual of [16451, 16250, 36]-code) [i]✔
26Linear OA(4220, 16417, F4, 41) (dual of [16417, 16197, 42]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(4219, 16415, F4, 41) (dual of [16415, 16196, 42]-code) [i]✔
28Linear OA(4218, 16413, F4, 41) (dual of [16413, 16195, 42]-code) [i]✔
29Linear OA(4208, 16404, F4, 39) (dual of [16404, 16196, 40]-code) [i]✔
30Linear OA(4207, 16402, F4, 39) (dual of [16402, 16195, 40]-code) [i]✔
31Linear OA(4210, 16412, F4, 39) (dual of [16412, 16202, 40]-code) [i]✔
32Linear OA(4199, 16394, F4, 38) (dual of [16394, 16195, 39]-code) [i]✔
33Linear OA(4201, 16403, F4, 38) (dual of [16403, 16202, 39]-code) [i]✔
34Linear OA(4192, 16394, F4, 37) (dual of [16394, 16202, 38]-code) [i]✔
35Linear OA(4187, 16404, F4, 35) (dual of [16404, 16217, 36]-code) [i]✔
36Linear OA(4189, 16412, F4, 35) (dual of [16412, 16223, 36]-code) [i]✔