Information on Result #615003

Linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, 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(8126, 262156, F8, 22) (dual of [262156, 262030, 23]-code) [i](u, u+v)-Construction
2Linear OA(8127, 262158, F8, 22) (dual of [262158, 262031, 23]-code) [i]
3Linear OOA(8115, 166644, F8, 2, 22) (dual of [(166644, 2), 333173, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(8115, 166644, F8, 3, 22) (dual of [(166644, 3), 499817, 23]-NRT-code) [i]
5Digital (93, 115, 166644)-net over F8 [i]
6Linear OA(8121, 262150, F8, 23) (dual of [262150, 262029, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(8115, 262150, F8, 22) (dual of [262150, 262035, 23]-code) [i]✔
8Linear OA(8128, 262157, F8, 24) (dual of [262157, 262029, 25]-code) [i]✔
9Linear OA(8129, 262153, F8, 25) (dual of [262153, 262024, 26]-code) [i]✔
10Linear OA(8130, 262159, F8, 25) (dual of [262159, 262029, 26]-code) [i]✔
11Linear OA(8116, 262157, F8, 22) (dual of [262157, 262041, 23]-code) [i]✔
12Linear OA(8137, 262166, F8, 26) (dual of [262166, 262029, 27]-code) [i]✔
13Linear OA(8118, 262165, F8, 22) (dual of [262165, 262047, 23]-code) [i]✔
14Linear OA(8145, 262174, F8, 27) (dual of [262174, 262029, 28]-code) [i]✔
15Linear OA(8119, 262172, F8, 22) (dual of [262172, 262053, 23]-code) [i]✔
16Linear OA(8152, 262181, F8, 28) (dual of [262181, 262029, 29]-code) [i]✔
17Linear OA(8121, 262180, F8, 22) (dual of [262180, 262059, 23]-code) [i]✔
18Linear OA(8162, 262191, F8, 29) (dual of [262191, 262029, 30]-code) [i]✔
19Linear OA(8126, 262191, F8, 22) (dual of [262191, 262065, 23]-code) [i]✔
20Linear OA(8170, 262199, F8, 30) (dual of [262199, 262029, 31]-code) [i]✔
21Linear OA(8161, 262190, F8, 29) (dual of [262190, 262029, 30]-code) [i]✔
22Linear OA(8144, 262168, F8, 27) (dual of [262168, 262024, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(8138, 262168, F8, 26) (dual of [262168, 262030, 27]-code) [i]✔
24Linear OA(8129, 262159, F8, 24) (dual of [262159, 262030, 25]-code) [i]✔
25Linear OA(8117, 262159, F8, 22) (dual of [262159, 262042, 23]-code) [i]✔
26Linear OA(8120, 262174, F8, 22) (dual of [262174, 262054, 23]-code) [i]✔
27Linear OOA(8115, 23831, F8, 22, 22) (dual of [(23831, 22), 524167, 23]-NRT-code) [i]OA Folding and Stacking