Information on Result #615184

Linear OA(8103, 513, F8, 39) (dual of [513, 410, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound)

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(8124, 537, F8, 39) (dual of [537, 413, 40]-code) [i](u, u+v)-Construction
2Linear OA(8126, 540, F8, 39) (dual of [540, 414, 40]-code) [i]
3Linear OA(8127, 542, F8, 39) (dual of [542, 415, 40]-code) [i]
4Linear OA(8121, 532, F8, 39) (dual of [532, 411, 40]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(8110, 520, F8, 41) (dual of [520, 410, 42]-code) [i]✔
6Linear OA(8104, 520, F8, 39) (dual of [520, 416, 40]-code) [i]✔
7Linear OA(8118, 523, F8, 43) (dual of [523, 405, 44]-code) [i]✔
8Linear OA(8119, 529, F8, 43) (dual of [529, 410, 44]-code) [i]✔
9Linear OA(8106, 523, F8, 39) (dual of [523, 417, 40]-code) [i]✔
10Linear OA(8107, 529, F8, 39) (dual of [529, 422, 40]-code) [i]✔
11Linear OA(8128, 538, F8, 45) (dual of [538, 410, 46]-code) [i]✔
12Linear OA(8110, 538, F8, 39) (dual of [538, 428, 40]-code) [i]✔
13Linear OA(8142, 552, F8, 49) (dual of [552, 410, 50]-code) [i]✔
14Linear OA(8138, 548, F8, 46) (dual of [548, 410, 47]-code) [i]✔
15Linear OA(8118, 552, F8, 39) (dual of [552, 434, 40]-code) [i]✔
16Linear OA(8151, 561, F8, 51) (dual of [561, 410, 52]-code) [i]✔
17Linear OA(8149, 559, F8, 50) (dual of [559, 410, 51]-code) [i]✔
18Linear OA(8121, 561, F8, 39) (dual of [561, 440, 40]-code) [i]✔
19Linear OA(8119, 559, F8, 38) (dual of [559, 440, 39]-code) [i]✔
20Linear OA(8161, 571, F8, 53) (dual of [571, 410, 54]-code) [i]✔
21Linear OA(8159, 569, F8, 52) (dual of [569, 410, 53]-code) [i]✔
22Linear OA(8125, 571, F8, 39) (dual of [571, 446, 40]-code) [i]✔
23Linear OA(8123, 569, F8, 38) (dual of [569, 446, 39]-code) [i]✔
24Linear OA(8139, 547, F8, 47) (dual of [547, 408, 48]-code) [i]✔Construction XX with a Chain of Cyclic Codes
25Linear OA(8138, 545, F8, 47) (dual of [545, 407, 48]-code) [i]✔
26Linear OA(8137, 543, F8, 47) (dual of [543, 406, 48]-code) [i]✔
27Linear OA(8140, 545, F8, 48) (dual of [545, 405, 49]-code) [i]✔
28Linear OA(8136, 541, F8, 47) (dual of [541, 405, 48]-code) [i]✔
29Linear OA(8127, 532, F8, 45) (dual of [532, 405, 46]-code) [i]✔
30Linear OA(8133, 547, F8, 45) (dual of [547, 414, 46]-code) [i]✔
31Linear OA(8132, 545, F8, 45) (dual of [545, 413, 46]-code) [i]✔
32Linear OA(8131, 543, F8, 45) (dual of [543, 412, 46]-code) [i]✔
33Linear OA(8130, 541, F8, 45) (dual of [541, 411, 46]-code) [i]✔
34Linear OA(8121, 532, F8, 43) (dual of [532, 411, 44]-code) [i]✔
35Linear OA(8109, 532, F8, 39) (dual of [532, 423, 40]-code) [i]✔
36Linear OA(8117, 549, F8, 39) (dual of [549, 432, 40]-code) [i]✔
37Linear OA(8116, 547, F8, 39) (dual of [547, 431, 40]-code) [i]✔
38Linear OA(8115, 545, F8, 39) (dual of [545, 430, 40]-code) [i]✔
39Linear OA(8114, 543, F8, 39) (dual of [543, 429, 40]-code) [i]✔