Information on Result #615004

Linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, 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(8145, 2097164, F8, 22) (dual of [2097164, 2097019, 23]-code) [i](u, u+v)-Construction
2Linear OA(8146, 2097166, F8, 22) (dual of [2097166, 2097020, 23]-code) [i]
3Linear OA(8147, 2097169, F8, 22) (dual of [2097169, 2097022, 23]-code) [i]
4Linear OA(8148, 2097176, F8, 22) (dual of [2097176, 2097028, 23]-code) [i]
5Linear OA(8149, 2097179, F8, 22) (dual of [2097179, 2097030, 23]-code) [i]
6Linear OA(8151, 2097183, F8, 22) (dual of [2097183, 2097032, 23]-code) [i]
7Linear OA(8152, 2097216, F8, 22) (dual of [2097216, 2097064, 23]-code) [i]
8Linear OA(8151, 2097170, F8, 22) (dual of [2097170, 2097019, 23]-code) [i]Generalized (u, u+v)-Construction
9Linear OOA(8134, 1201579, F8, 2, 22) (dual of [(1201579, 2), 2403024, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
10Linear OOA(8134, 1201579, F8, 3, 22) (dual of [(1201579, 3), 3604603, 23]-NRT-code) [i]
11Digital (112, 134, 1201579)-net over F8 [i]
12Linear OA(8149, 2097168, F8, 22) (dual of [2097168, 2097019, 23]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(8150, 2097170, F8, 22) (dual of [2097170, 2097020, 23]-code) [i]
14Linear OA(8151, 2097172, F8, 22) (dual of [2097172, 2097021, 23]-code) [i]
15Linear OA(8152, 2097174, F8, 22) (dual of [2097174, 2097022, 23]-code) [i]
16Linear OA(8141, 2097159, F8, 23) (dual of [2097159, 2097018, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
17Linear OA(8134, 2097159, F8, 22) (dual of [2097159, 2097025, 23]-code) [i]✔
18Linear OA(8149, 2097167, F8, 24) (dual of [2097167, 2097018, 25]-code) [i]✔
19Linear OA(8151, 2097169, F8, 25) (dual of [2097169, 2097018, 26]-code) [i]✔
20Linear OA(8135, 2097167, F8, 22) (dual of [2097167, 2097032, 23]-code) [i]✔
21Linear OA(8159, 2097177, F8, 26) (dual of [2097177, 2097018, 27]-code) [i]✔
22Linear OA(8137, 2097176, F8, 22) (dual of [2097176, 2097039, 23]-code) [i]✔
23Linear OA(8168, 2097186, F8, 27) (dual of [2097186, 2097018, 28]-code) [i]✔
24Linear OA(8138, 2097184, F8, 22) (dual of [2097184, 2097046, 23]-code) [i]✔
25Linear OA(8140, 2097193, F8, 22) (dual of [2097193, 2097053, 23]-code) [i]✔
26Linear OA(8145, 2097205, F8, 22) (dual of [2097205, 2097060, 23]-code) [i]✔
27Linear OA(8147, 2097214, F8, 22) (dual of [2097214, 2097067, 23]-code) [i]✔
28Linear OA(8149, 2097217, F8, 22) (dual of [2097217, 2097068, 23]-code) [i]✔
29Linear OA(8150, 2097224, F8, 22) (dual of [2097224, 2097074, 23]-code) [i]✔
30Linear OA(8152, 2097233, F8, 22) (dual of [2097233, 2097081, 23]-code) [i]✔
31Linear OA(8149, 2097219, F8, 22) (dual of [2097219, 2097070, 23]-code) [i]✔
32Linear OA(8144, 2097204, F8, 22) (dual of [2097204, 2097060, 23]-code) [i]✔
33Linear OA(8167, 2097179, F8, 27) (dual of [2097179, 2097012, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(8160, 2097179, F8, 26) (dual of [2097179, 2097019, 27]-code) [i]✔
35Linear OA(8150, 2097162, F8, 25) (dual of [2097162, 2097012, 26]-code) [i]✔
36Linear OA(8150, 2097169, F8, 24) (dual of [2097169, 2097019, 25]-code) [i]✔
37Linear OA(8136, 2097169, F8, 22) (dual of [2097169, 2097033, 23]-code) [i]✔
38Linear OOA(8134, 190650, F8, 22, 22) (dual of [(190650, 22), 4194166, 23]-NRT-code) [i]OA Folding and Stacking