Information on Result #682640

Linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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 OA(5103, 15631, F5, 22) (dual of [15631, 15528, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(598, 15632, F5, 21) (dual of [15632, 15534, 22]-code) [i]✔
3Linear OA(598, 15638, F5, 20) (dual of [15638, 15540, 21]-code) [i]✔
4Linear OA(5100, 15640, F5, 21) (dual of [15640, 15540, 22]-code) [i]✔
5Linear OA(5118, 15646, F5, 24) (dual of [15646, 15528, 25]-code) [i]✔
6Linear OA(5101, 15647, F5, 21) (dual of [15647, 15546, 22]-code) [i]✔
7Linear OA(5128, 15651, F5, 26) (dual of [15651, 15523, 27]-code) [i]✔
8Linear OA(5129, 15657, F5, 26) (dual of [15657, 15528, 27]-code) [i]✔
9Linear OA(5104, 15651, F5, 21) (dual of [15651, 15547, 22]-code) [i]✔
10Linear OA(5105, 15657, F5, 21) (dual of [15657, 15552, 22]-code) [i]✔
11Linear OA(5101, 15651, F5, 20) (dual of [15651, 15550, 21]-code) [i]✔
12Linear OA(5102, 15654, F5, 20) (dual of [15654, 15552, 21]-code) [i]✔
13Linear OA(5137, 15665, F5, 27) (dual of [15665, 15528, 28]-code) [i]✔
14Linear OA(5109, 15667, F5, 21) (dual of [15667, 15558, 22]-code) [i]✔
15Linear OA(5107, 15665, F5, 20) (dual of [15665, 15558, 21]-code) [i]✔
16Linear OA(5145, 15673, F5, 28) (dual of [15673, 15528, 29]-code) [i]✔
17Linear OA(5111, 15677, F5, 20) (dual of [15677, 15566, 21]-code) [i]✔
18Linear OA(5127, 15655, F5, 26) (dual of [15655, 15528, 27]-code) [i]✔
19Linear OA(5103, 15655, F5, 21) (dual of [15655, 15552, 22]-code) [i]✔
20Linear OA(5135, 15658, F5, 27) (dual of [15658, 15523, 28]-code) [i]✔
21Linear OA(5136, 15664, F5, 27) (dual of [15664, 15528, 28]-code) [i]✔
22Linear OA(5108, 15666, F5, 21) (dual of [15666, 15558, 22]-code) [i]✔
23Linear OA(5106, 15664, F5, 20) (dual of [15664, 15558, 21]-code) [i]✔
24Linear OA(5144, 15670, F5, 28) (dual of [15670, 15526, 29]-code) [i]✔
25Linear OA(5136, 15659, F5, 27) (dual of [15659, 15523, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(5128, 15653, F5, 26) (dual of [15653, 15525, 27]-code) [i]✔
27Linear OA(5127, 15651, F5, 26) (dual of [15651, 15524, 27]-code) [i]✔
28Linear OA(5126, 15649, F5, 26) (dual of [15649, 15523, 27]-code) [i]✔
29Linear OA(5129, 15659, F5, 25) (dual of [15659, 15530, 26]-code) [i]✔
30Linear OA(5131, 15660, F5, 26) (dual of [15660, 15529, 27]-code) [i]✔
31Linear OA(5117, 15640, F5, 24) (dual of [15640, 15523, 25]-code) [i]✔
32Linear OA(5122, 15653, F5, 24) (dual of [15653, 15531, 25]-code) [i]✔
33Linear OA(5121, 15651, F5, 24) (dual of [15651, 15530, 25]-code) [i]✔
34Linear OA(5120, 15649, F5, 24) (dual of [15649, 15529, 25]-code) [i]✔
35Linear OA(5105, 15634, F5, 22) (dual of [15634, 15529, 23]-code) [i]✔
36Linear OA(599, 15634, F5, 21) (dual of [15634, 15535, 22]-code) [i]✔
37Linear OA(599, 15640, F5, 20) (dual of [15640, 15541, 21]-code) [i]✔
38Linear OA(5104, 15653, F5, 21) (dual of [15653, 15549, 22]-code) [i]✔
39Linear OA(5103, 15651, F5, 21) (dual of [15651, 15548, 22]-code) [i]✔
40Linear OA(5102, 15649, F5, 21) (dual of [15649, 15547, 22]-code) [i]✔
41Linear OA(5105, 15659, F5, 20) (dual of [15659, 15554, 21]-code) [i]✔
42Linear OA(5104, 15657, F5, 20) (dual of [15657, 15553, 21]-code) [i]✔
43Linear OA(5130, 15659, F5, 26) (dual of [15659, 15529, 27]-code) [i]✔
44Linear OA(598, 15645, F5, 19) (dual of [15645, 15547, 20]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
45Linear OOA(597, 5208, F5, 3, 21) (dual of [(5208, 3), 15527, 22]-NRT-code) [i]OOA Folding
46Linear OOA(597, 1562, F5, 21, 21) (dual of [(1562, 21), 32705, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row