Information on Result #614976

Linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(8130, 2097163, F8, 20) (dual of [2097163, 2097033, 21]-code) [i](u, u+v)-Construction
2Linear OA(8131, 2097166, F8, 20) (dual of [2097166, 2097035, 21]-code) [i]
3Linear OA(8132, 2097169, F8, 20) (dual of [2097169, 2097037, 21]-code) [i]
4Linear OA(8133, 2097176, F8, 20) (dual of [2097176, 2097043, 21]-code) [i]
5Linear OA(8134, 2097178, F8, 20) (dual of [2097178, 2097044, 21]-code) [i]
6Linear OA(8135, 2097180, F8, 20) (dual of [2097180, 2097045, 21]-code) [i]
7Linear OA(8136, 2097217, F8, 20) (dual of [2097217, 2097081, 21]-code) [i]
8Linear OA(8133, 2097166, F8, 20) (dual of [2097166, 2097033, 21]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(8134, 2097168, F8, 20) (dual of [2097168, 2097034, 21]-code) [i]
10Linear OA(8135, 2097170, F8, 20) (dual of [2097170, 2097035, 21]-code) [i]
11Linear OA(8136, 2097172, F8, 20) (dual of [2097172, 2097036, 21]-code) [i]
12Linear OA(8127, 2097159, F8, 21) (dual of [2097159, 2097032, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(8120, 2097159, F8, 20) (dual of [2097159, 2097039, 21]-code) [i]✔
14Linear OA(8135, 2097167, F8, 22) (dual of [2097167, 2097032, 23]-code) [i]✔
15Linear OA(8121, 2097167, F8, 20) (dual of [2097167, 2097046, 21]-code) [i]✔
16Linear OA(8144, 2097176, F8, 23) (dual of [2097176, 2097032, 24]-code) [i]✔
17Linear OA(8123, 2097176, F8, 20) (dual of [2097176, 2097053, 21]-code) [i]✔
18Linear OA(8154, 2097186, F8, 25) (dual of [2097186, 2097032, 26]-code) [i]✔
19Linear OA(8152, 2097184, F8, 24) (dual of [2097184, 2097032, 25]-code) [i]✔
20Linear OA(8126, 2097186, F8, 20) (dual of [2097186, 2097060, 21]-code) [i]✔
21Linear OA(8162, 2097194, F8, 26) (dual of [2097194, 2097032, 27]-code) [i]✔
22Linear OA(8127, 2097194, F8, 20) (dual of [2097194, 2097067, 21]-code) [i]✔
23Linear OA(8173, 2097205, F8, 27) (dual of [2097205, 2097032, 28]-code) [i]✔
24Linear OA(8131, 2097205, F8, 20) (dual of [2097205, 2097074, 21]-code) [i]✔
25Linear OA(8133, 2097214, F8, 20) (dual of [2097214, 2097081, 21]-code) [i]✔
26Linear OA(8135, 2097217, F8, 20) (dual of [2097217, 2097082, 21]-code) [i]✔
27Linear OA(8136, 2097224, F8, 20) (dual of [2097224, 2097088, 21]-code) [i]✔
28Linear OA(8135, 2097219, F8, 20) (dual of [2097219, 2097084, 21]-code) [i]✔
29Linear OA(8172, 2097204, F8, 27) (dual of [2097204, 2097032, 28]-code) [i]✔
30Linear OA(8130, 2097204, F8, 20) (dual of [2097204, 2097074, 21]-code) [i]✔
31Linear OA(8153, 2097179, F8, 25) (dual of [2097179, 2097026, 26]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(8136, 2097169, F8, 22) (dual of [2097169, 2097033, 23]-code) [i]✔
33Linear OA(8122, 2097169, F8, 20) (dual of [2097169, 2097047, 21]-code) [i]✔
34Linear OA(8125, 2097179, F8, 20) (dual of [2097179, 2097054, 21]-code) [i]✔
35Linear OA(8142, 2097175, F8, 22) (dual of [2097175, 2097033, 23]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
36Linear OOA(8120, 209715, F8, 20, 20) (dual of [(209715, 20), 4194180, 21]-NRT-code) [i]OA Folding and Stacking