Information on Result #613906

Linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(5140, 15639, F5, 27) (dual of [15639, 15499, 28]-code) [i](u, u+v)-Construction
2Linear OA(5142, 15642, F5, 27) (dual of [15642, 15500, 28]-code) [i]
3Linear OA(5143, 15645, F5, 27) (dual of [15645, 15502, 28]-code) [i]
4Linear OA(5144, 15651, F5, 27) (dual of [15651, 15507, 28]-code) [i]
5Linear OA(5147, 15646, F5, 27) (dual of [15646, 15499, 28]-code) [i]Generalized (u, u+v)-Construction
6Linear OOA(5127, 8462, F5, 2, 27) (dual of [(8462, 2), 16797, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
7Linear OOA(5127, 8462, F5, 3, 27) (dual of [(8462, 3), 25259, 28]-NRT-code) [i]
8Digital (100, 127, 8462)-net over F5 [i]
9Linear OA(5146, 15645, F5, 27) (dual of [15645, 15499, 28]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(5133, 15631, F5, 28) (dual of [15631, 15498, 29]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
11Linear OA(5127, 15631, F5, 27) (dual of [15631, 15504, 28]-code) [i]✔
12Linear OA(5140, 15638, F5, 29) (dual of [15638, 15498, 30]-code) [i]✔
13Linear OA(5130, 15640, F5, 27) (dual of [15640, 15510, 28]-code) [i]✔
14Linear OA(5149, 15647, F5, 31) (dual of [15647, 15498, 32]-code) [i]✔
15Linear OA(5131, 15647, F5, 27) (dual of [15647, 15516, 28]-code) [i]✔
16Linear OA(5134, 15651, F5, 27) (dual of [15651, 15517, 28]-code) [i]✔
17Linear OA(5135, 15657, F5, 27) (dual of [15657, 15522, 28]-code) [i]✔
18Linear OA(5137, 15665, F5, 27) (dual of [15665, 15528, 28]-code) [i]✔
19Linear OA(5141, 15675, F5, 27) (dual of [15675, 15534, 28]-code) [i]✔
20Linear OA(5145, 15685, F5, 27) (dual of [15685, 15540, 28]-code) [i]✔
21Linear OA(5133, 15655, F5, 27) (dual of [15655, 15522, 28]-code) [i]✔
22Linear OA(5135, 15658, F5, 27) (dual of [15658, 15523, 28]-code) [i]✔
23Linear OA(5136, 15664, F5, 27) (dual of [15664, 15528, 28]-code) [i]✔
24Linear OA(5140, 15674, F5, 27) (dual of [15674, 15534, 28]-code) [i]✔
25Linear OA(5147, 15640, F5, 30) (dual of [15640, 15493, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(5150, 15649, F5, 31) (dual of [15649, 15499, 32]-code) [i]✔
27Linear OA(5141, 15640, F5, 29) (dual of [15640, 15499, 30]-code) [i]✔
28Linear OA(5129, 15634, F5, 27) (dual of [15634, 15505, 28]-code) [i]✔
29Linear OA(5134, 15653, F5, 27) (dual of [15653, 15519, 28]-code) [i]✔
30Linear OA(5133, 15651, F5, 27) (dual of [15651, 15518, 28]-code) [i]✔
31Linear OA(5132, 15649, F5, 27) (dual of [15649, 15517, 28]-code) [i]✔
32Linear OA(5136, 15659, F5, 27) (dual of [15659, 15523, 28]-code) [i]✔