Information on Result #614908

Linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(899, 2097162, F8, 15) (dual of [2097162, 2097063, 16]-code) [i](u, u+v)-Construction
2Linear OA(8100, 2097166, F8, 15) (dual of [2097166, 2097066, 16]-code) [i]
3Linear OA(8101, 2097169, F8, 15) (dual of [2097169, 2097068, 16]-code) [i]
4Linear OA(8102, 2097176, F8, 15) (dual of [2097176, 2097074, 16]-code) [i]
5Linear OA(8103, 2097179, F8, 15) (dual of [2097179, 2097076, 16]-code) [i]
6Linear OA(8104, 2097181, F8, 15) (dual of [2097181, 2097077, 16]-code) [i]
7Linear OA(8103, 2097164, F8, 15) (dual of [2097164, 2097061, 16]-code) [i]Generalized (u, u+v)-Construction
8Linear OOA(892, 1697994, F8, 2, 15) (dual of [(1697994, 2), 3395896, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
9Linear OOA(892, 1697994, F8, 3, 15) (dual of [(1697994, 3), 5093890, 16]-NRT-code) [i]
10Digital (77, 92, 1697994)-net over F8 [i]
11Linear OA(8104, 2097171, F8, 15) (dual of [2097171, 2097067, 16]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(8100, 2097160, F8, 17) (dual of [2097160, 2097060, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(892, 2097159, F8, 15) (dual of [2097159, 2097067, 16]-code) [i]✔
14Linear OA(8109, 2097169, F8, 18) (dual of [2097169, 2097060, 19]-code) [i]✔
15Linear OA(893, 2097167, F8, 15) (dual of [2097167, 2097074, 16]-code) [i]✔
16Linear OA(8117, 2097177, F8, 19) (dual of [2097177, 2097060, 20]-code) [i]✔
17Linear OA(895, 2097176, F8, 15) (dual of [2097176, 2097081, 16]-code) [i]✔
18Linear OA(8126, 2097186, F8, 20) (dual of [2097186, 2097060, 21]-code) [i]✔
19Linear OA(896, 2097184, F8, 15) (dual of [2097184, 2097088, 16]-code) [i]✔
20Linear OA(8134, 2097194, F8, 21) (dual of [2097194, 2097060, 22]-code) [i]✔
21Linear OA(898, 2097193, F8, 15) (dual of [2097193, 2097095, 16]-code) [i]✔
22Linear OA(8145, 2097205, F8, 22) (dual of [2097205, 2097060, 23]-code) [i]✔
23Linear OA(899, 2097201, F8, 15) (dual of [2097201, 2097102, 16]-code) [i]✔
24Linear OA(8154, 2097214, F8, 23) (dual of [2097214, 2097060, 24]-code) [i]✔
25Linear OA(8166, 2097226, F8, 25) (dual of [2097226, 2097060, 26]-code) [i]✔
26Linear OA(8163, 2097217, F8, 24) (dual of [2097217, 2097054, 25]-code) [i]✔
27Linear OA(8164, 2097224, F8, 24) (dual of [2097224, 2097060, 25]-code) [i]✔
28Linear OA(8164, 2097219, F8, 25) (dual of [2097219, 2097055, 26]-code) [i]✔
29Linear OA(8165, 2097222, F8, 25) (dual of [2097222, 2097057, 26]-code) [i]✔
30Linear OA(8163, 2097219, F8, 24) (dual of [2097219, 2097056, 25]-code) [i]✔
31Linear OA(8144, 2097204, F8, 22) (dual of [2097204, 2097060, 23]-code) [i]✔
32Linear OA(8125, 2097179, F8, 20) (dual of [2097179, 2097054, 21]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(8118, 2097179, F8, 19) (dual of [2097179, 2097061, 20]-code) [i]✔
34Linear OA(8108, 2097162, F8, 18) (dual of [2097162, 2097054, 19]-code) [i]✔
35Linear OA(8101, 2097162, F8, 17) (dual of [2097162, 2097061, 18]-code) [i]✔
36Linear OA(893, 2097168, F8, 15) (dual of [2097168, 2097075, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes