Information on Result #682637

Linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(5109, 8519, F5, 2, 23) (dual of [(8519, 2), 16929, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5109, 8519, F5, 3, 23) (dual of [(8519, 3), 25448, 24]-NRT-code) [i]
3Digital (86, 109, 8519)-net over F5 [i]
4Linear OA(5115, 15631, F5, 24) (dual of [15631, 15516, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(5109, 15631, F5, 23) (dual of [15631, 15522, 24]-code) [i]✔
6Linear OA(5124, 15640, F5, 26) (dual of [15640, 15516, 27]-code) [i]✔
7Linear OA(5131, 15647, F5, 27) (dual of [15647, 15516, 28]-code) [i]✔
8Linear OA(5113, 15647, F5, 23) (dual of [15647, 15534, 24]-code) [i]✔
9Linear OA(5140, 15651, F5, 28) (dual of [15651, 15511, 29]-code) [i]✔
10Linear OA(5141, 15657, F5, 28) (dual of [15657, 15516, 29]-code) [i]✔
11Linear OA(5116, 15651, F5, 23) (dual of [15651, 15535, 24]-code) [i]✔
12Linear OA(5117, 15657, F5, 23) (dual of [15657, 15540, 24]-code) [i]✔
13Linear OA(5149, 15665, F5, 29) (dual of [15665, 15516, 30]-code) [i]✔
14Linear OA(5119, 15665, F5, 23) (dual of [15665, 15546, 24]-code) [i]✔
15Linear OA(5121, 15673, F5, 23) (dual of [15673, 15552, 24]-code) [i]✔
16Linear OA(5139, 15655, F5, 28) (dual of [15655, 15516, 29]-code) [i]✔
17Linear OA(5115, 15655, F5, 23) (dual of [15655, 15540, 24]-code) [i]✔
18Linear OA(5147, 15658, F5, 29) (dual of [15658, 15511, 30]-code) [i]✔
19Linear OA(5148, 15664, F5, 29) (dual of [15664, 15516, 30]-code) [i]✔
20Linear OA(5118, 15664, F5, 23) (dual of [15664, 15546, 24]-code) [i]✔
21Linear OA(5120, 15670, F5, 23) (dual of [15670, 15550, 24]-code) [i]✔
22Linear OA(5148, 15659, F5, 29) (dual of [15659, 15511, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(5140, 15653, F5, 28) (dual of [15653, 15513, 29]-code) [i]✔
24Linear OA(5139, 15651, F5, 28) (dual of [15651, 15512, 29]-code) [i]✔
25Linear OA(5138, 15649, F5, 28) (dual of [15649, 15511, 29]-code) [i]✔
26Linear OA(5142, 15659, F5, 28) (dual of [15659, 15517, 29]-code) [i]✔
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(5123, 15634, F5, 26) (dual of [15634, 15511, 27]-code) [i]✔
31Linear OA(5116, 15653, F5, 23) (dual of [15653, 15537, 24]-code) [i]✔
32Linear OA(5115, 15651, F5, 23) (dual of [15651, 15536, 24]-code) [i]✔
33Linear OA(5114, 15649, F5, 23) (dual of [15649, 15535, 24]-code) [i]✔
34Linear OA(5118, 15659, F5, 23) (dual of [15659, 15541, 24]-code) [i]✔
35Linear OOA(5109, 1420, F5, 23, 23) (dual of [(1420, 23), 32551, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row