Information on Result #615048

Linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(8126, 262143, F8, 24) (dual of [262143, 262017, 25]-code) [i]Truncation
2Linear OA(8139, 262157, F8, 25) (dual of [262157, 262018, 26]-code) [i](u, u+v)-Construction
3Linear OA(8140, 262159, F8, 25) (dual of [262159, 262019, 26]-code) [i]
4Linear OA(8141, 262161, F8, 25) (dual of [262161, 262020, 26]-code) [i]
5Linear OA(8142, 262168, F8, 25) (dual of [262168, 262026, 26]-code) [i]
6Linear OA(8143, 262170, F8, 25) (dual of [262170, 262027, 26]-code) [i]
7Linear OA(8144, 262172, F8, 25) (dual of [262172, 262028, 26]-code) [i]
8Linear OA(8145, 262174, F8, 25) (dual of [262174, 262029, 26]-code) [i]
9Linear OA(8144, 262162, F8, 25) (dual of [262162, 262018, 26]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(8133, 262150, F8, 26) (dual of [262150, 262017, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
11Linear OA(8128, 262151, F8, 25) (dual of [262151, 262023, 26]-code) [i]✔
12Linear OA(8140, 262157, F8, 27) (dual of [262157, 262017, 28]-code) [i]✔
13Linear OA(8128, 262157, F8, 24) (dual of [262157, 262029, 25]-code) [i]✔
14Linear OA(8129, 262153, F8, 25) (dual of [262153, 262024, 26]-code) [i]✔
15Linear OA(8130, 262159, F8, 25) (dual of [262159, 262029, 26]-code) [i]✔
16Linear OA(8148, 262165, F8, 28) (dual of [262165, 262017, 29]-code) [i]✔
17Linear OA(8131, 262166, F8, 25) (dual of [262166, 262035, 26]-code) [i]✔
18Linear OA(8155, 262172, F8, 29) (dual of [262172, 262017, 30]-code) [i]✔
19Linear OA(8133, 262174, F8, 25) (dual of [262174, 262041, 26]-code) [i]✔
20Linear OA(8131, 262172, F8, 24) (dual of [262172, 262041, 25]-code) [i]✔
21Linear OA(8163, 262180, F8, 30) (dual of [262180, 262017, 31]-code) [i]✔
22Linear OA(8134, 262181, F8, 25) (dual of [262181, 262047, 26]-code) [i]✔
23Linear OA(8170, 262187, F8, 31) (dual of [262187, 262017, 32]-code) [i]✔
24Linear OA(8138, 262191, F8, 25) (dual of [262191, 262053, 26]-code) [i]✔
25Linear OA(8134, 262187, F8, 24) (dual of [262187, 262053, 25]-code) [i]✔
26Linear OA(8140, 262199, F8, 25) (dual of [262199, 262059, 26]-code) [i]✔
27Linear OA(8138, 262197, F8, 24) (dual of [262197, 262059, 25]-code) [i]✔
28Linear OA(8142, 262207, F8, 25) (dual of [262207, 262065, 26]-code) [i]✔
29Linear OA(8143, 262209, F8, 25) (dual of [262209, 262066, 26]-code) [i]✔
30Linear OA(8145, 262213, F8, 25) (dual of [262213, 262068, 26]-code) [i]✔
31Linear OA(8137, 262190, F8, 25) (dual of [262190, 262053, 26]-code) [i]✔
32Linear OA(8139, 262198, F8, 25) (dual of [262198, 262059, 26]-code) [i]✔
33Linear OA(8162, 262174, F8, 30) (dual of [262174, 262012, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(8157, 262175, F8, 29) (dual of [262175, 262018, 30]-code) [i]✔
35Linear OA(8147, 262159, F8, 28) (dual of [262159, 262012, 29]-code) [i]✔
36Linear OA(8150, 262168, F8, 28) (dual of [262168, 262018, 29]-code) [i]✔
37Linear OA(8142, 262160, F8, 27) (dual of [262160, 262018, 28]-code) [i]✔
38Linear OA(8129, 262159, F8, 24) (dual of [262159, 262030, 25]-code) [i]✔
39Linear OA(8132, 262168, F8, 25) (dual of [262168, 262036, 26]-code) [i]✔
40Linear OA(8132, 262174, F8, 24) (dual of [262174, 262042, 25]-code) [i]✔
41Linear OOA(8127, 131072, F8, 2, 25) (dual of [(131072, 2), 262017, 26]-NRT-code) [i]OOA Folding
42Linear OOA(8127, 87381, F8, 3, 25) (dual of [(87381, 3), 262016, 26]-NRT-code) [i]
43Linear OOA(8127, 21845, F8, 25, 25) (dual of [(21845, 25), 545998, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row