Information on Result #613824

Linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(5114, 15637, F5, 22) (dual of [15637, 15523, 23]-code) [i](u, u+v)-Construction
2Linear OA(5116, 15641, F5, 22) (dual of [15641, 15525, 23]-code) [i]
3Linear OA(5117, 15643, F5, 22) (dual of [15643, 15526, 23]-code) [i]
4Linear OA(5118, 15655, F5, 22) (dual of [15655, 15537, 23]-code) [i]
5Linear OA(5118, 15641, F5, 22) (dual of [15641, 15523, 23]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(5109, 15631, F5, 23) (dual of [15631, 15522, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(5103, 15631, F5, 22) (dual of [15631, 15528, 23]-code) [i]✔
8Linear OA(5116, 15638, F5, 24) (dual of [15638, 15522, 25]-code) [i]✔
9Linear OA(5106, 15640, F5, 22) (dual of [15640, 15534, 23]-code) [i]✔
10Linear OA(5125, 15647, F5, 26) (dual of [15647, 15522, 27]-code) [i]✔
11Linear OA(5107, 15647, F5, 22) (dual of [15647, 15540, 23]-code) [i]✔
12Linear OA(5134, 15651, F5, 27) (dual of [15651, 15517, 28]-code) [i]✔
13Linear OA(5135, 15657, F5, 27) (dual of [15657, 15522, 28]-code) [i]✔
14Linear OA(5110, 15651, F5, 22) (dual of [15651, 15541, 23]-code) [i]✔
15Linear OA(5111, 15657, F5, 22) (dual of [15657, 15546, 23]-code) [i]✔
16Linear OA(5143, 15665, F5, 28) (dual of [15665, 15522, 29]-code) [i]✔
17Linear OA(5113, 15665, F5, 22) (dual of [15665, 15552, 23]-code) [i]✔
18Linear OA(5117, 15675, F5, 22) (dual of [15675, 15558, 23]-code) [i]✔
19Linear OA(5133, 15655, F5, 27) (dual of [15655, 15522, 28]-code) [i]✔
20Linear OA(5109, 15655, F5, 22) (dual of [15655, 15546, 23]-code) [i]✔
21Linear OA(5141, 15658, F5, 28) (dual of [15658, 15517, 29]-code) [i]✔
22Linear OA(5142, 15664, F5, 28) (dual of [15664, 15522, 29]-code) [i]✔
23Linear OA(5111, 15658, F5, 22) (dual of [15658, 15547, 23]-code) [i]✔
24Linear OA(5112, 15664, F5, 22) (dual of [15664, 15552, 23]-code) [i]✔
25Linear OA(5150, 15670, F5, 29) (dual of [15670, 15520, 30]-code) [i]✔
26Linear OA(5142, 15659, F5, 28) (dual of [15659, 15517, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(5134, 15653, F5, 27) (dual of [15653, 15519, 28]-code) [i]✔
28Linear OA(5133, 15651, F5, 27) (dual of [15651, 15518, 28]-code) [i]✔
29Linear OA(5132, 15649, F5, 27) (dual of [15649, 15517, 28]-code) [i]✔
30Linear OA(5136, 15659, F5, 27) (dual of [15659, 15523, 28]-code) [i]✔
31Linear OA(5128, 15653, F5, 26) (dual of [15653, 15525, 27]-code) [i]✔
32Linear OA(5127, 15651, F5, 26) (dual of [15651, 15524, 27]-code) [i]✔
33Linear OA(5126, 15649, F5, 26) (dual of [15649, 15523, 27]-code) [i]✔
34Linear OA(5117, 15640, F5, 24) (dual of [15640, 15523, 25]-code) [i]✔
35Linear OA(5105, 15634, F5, 22) (dual of [15634, 15529, 23]-code) [i]✔
36Linear OA(5110, 15653, F5, 22) (dual of [15653, 15543, 23]-code) [i]✔
37Linear OA(5109, 15651, F5, 22) (dual of [15651, 15542, 23]-code) [i]✔
38Linear OA(5108, 15649, F5, 22) (dual of [15649, 15541, 23]-code) [i]✔
39Linear OA(5112, 15659, F5, 22) (dual of [15659, 15547, 23]-code) [i]✔