Information on Result #614897

Linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(892, 2097162, F8, 14) (dual of [2097162, 2097070, 15]-code) [i](u, u+v)-Construction
2Linear OA(893, 2097166, F8, 14) (dual of [2097166, 2097073, 15]-code) [i]
3Linear OA(894, 2097169, F8, 14) (dual of [2097169, 2097075, 15]-code) [i]
4Linear OA(895, 2097176, F8, 14) (dual of [2097176, 2097081, 15]-code) [i]
5Linear OA(896, 2097179, F8, 14) (dual of [2097179, 2097083, 15]-code) [i]
6Linear OA(896, 2097164, F8, 14) (dual of [2097164, 2097068, 15]-code) [i]Generalized (u, u+v)-Construction
7Linear OOA(885, 1584497, F8, 2, 14) (dual of [(1584497, 2), 3168909, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Linear OOA(885, 1584497, F8, 3, 14) (dual of [(1584497, 3), 4753406, 15]-NRT-code) [i]
9Digital (71, 85, 1584497)-net over F8 [i]
10Linear OA(894, 2097162, F8, 14) (dual of [2097162, 2097068, 15]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(895, 2097164, F8, 14) (dual of [2097164, 2097069, 15]-code) [i]
12Linear OA(896, 2097171, F8, 14) (dual of [2097171, 2097075, 15]-code) [i]
13Linear OA(892, 2097159, F8, 15) (dual of [2097159, 2097067, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
14Linear OA(885, 2097159, F8, 14) (dual of [2097159, 2097074, 15]-code) [i]✔
15Linear OA(8100, 2097167, F8, 16) (dual of [2097167, 2097067, 17]-code) [i]✔
16Linear OA(8102, 2097169, F8, 17) (dual of [2097169, 2097067, 18]-code) [i]✔
17Linear OA(886, 2097167, F8, 14) (dual of [2097167, 2097081, 15]-code) [i]✔
18Linear OA(8110, 2097177, F8, 18) (dual of [2097177, 2097067, 19]-code) [i]✔
19Linear OA(888, 2097176, F8, 14) (dual of [2097176, 2097088, 15]-code) [i]✔
20Linear OA(8119, 2097186, F8, 19) (dual of [2097186, 2097067, 20]-code) [i]✔
21Linear OA(889, 2097184, F8, 14) (dual of [2097184, 2097095, 15]-code) [i]✔
22Linear OA(8127, 2097194, F8, 20) (dual of [2097194, 2097067, 21]-code) [i]✔
23Linear OA(891, 2097193, F8, 14) (dual of [2097193, 2097102, 15]-code) [i]✔
24Linear OA(8138, 2097205, F8, 21) (dual of [2097205, 2097067, 22]-code) [i]✔
25Linear OA(896, 2097205, F8, 14) (dual of [2097205, 2097109, 15]-code) [i]✔
26Linear OA(8147, 2097214, F8, 22) (dual of [2097214, 2097067, 23]-code) [i]✔
27Linear OA(8157, 2097224, F8, 23) (dual of [2097224, 2097067, 24]-code) [i]✔
28Linear OA(8168, 2097235, F8, 25) (dual of [2097235, 2097067, 26]-code) [i]✔
29Linear OA(8166, 2097233, F8, 24) (dual of [2097233, 2097067, 25]-code) [i]✔
30Linear OA(8156, 2097219, F8, 23) (dual of [2097219, 2097063, 24]-code) [i]✔
31Linear OA(8137, 2097204, F8, 21) (dual of [2097204, 2097067, 22]-code) [i]✔
32Linear OA(8118, 2097179, F8, 19) (dual of [2097179, 2097061, 20]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(8111, 2097179, F8, 18) (dual of [2097179, 2097068, 19]-code) [i]✔
34Linear OA(8101, 2097162, F8, 17) (dual of [2097162, 2097061, 18]-code) [i]✔
35Linear OA(8101, 2097169, F8, 16) (dual of [2097169, 2097068, 17]-code) [i]✔
36Linear OA(886, 2097168, F8, 14) (dual of [2097168, 2097082, 15]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes