Information on Result #687631

Linear OA(8109, 513, F8, 41) (dual of [513, 404, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(8116, 520, F8, 43) (dual of [520, 404, 44]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(8110, 520, F8, 41) (dual of [520, 410, 42]-code) [i]✔
3Linear OA(8124, 523, F8, 45) (dual of [523, 399, 46]-code) [i]✔
4Linear OA(8125, 529, F8, 45) (dual of [529, 404, 46]-code) [i]✔
5Linear OA(8112, 523, F8, 41) (dual of [523, 411, 42]-code) [i]✔
6Linear OA(8113, 529, F8, 41) (dual of [529, 416, 42]-code) [i]✔
7Linear OA(8137, 537, F8, 49) (dual of [537, 400, 50]-code) [i]✔
8Linear OA(8138, 540, F8, 49) (dual of [540, 402, 50]-code) [i]✔
9Linear OA(8139, 542, F8, 49) (dual of [542, 403, 50]-code) [i]✔
10Linear OA(8140, 544, F8, 49) (dual of [544, 404, 50]-code) [i]✔
11Linear OA(8136, 537, F8, 48) (dual of [537, 401, 49]-code) [i]✔
12Linear OA(8138, 542, F8, 48) (dual of [542, 404, 49]-code) [i]✔
13Linear OA(8134, 538, F8, 47) (dual of [538, 404, 48]-code) [i]✔
14Linear OA(8116, 538, F8, 41) (dual of [538, 422, 42]-code) [i]✔
15Linear OA(8148, 552, F8, 51) (dual of [552, 404, 52]-code) [i]✔
16Linear OA(8122, 550, F8, 41) (dual of [550, 428, 42]-code) [i]✔
17Linear OA(8120, 548, F8, 40) (dual of [548, 428, 41]-code) [i]✔
18Linear OA(8157, 561, F8, 53) (dual of [561, 404, 54]-code) [i]✔
19Linear OA(8155, 559, F8, 52) (dual of [559, 404, 53]-code) [i]✔
20Linear OA(8127, 561, F8, 41) (dual of [561, 434, 42]-code) [i]✔
21Linear OA(8125, 559, F8, 40) (dual of [559, 434, 41]-code) [i]✔
22Linear OA(8131, 571, F8, 41) (dual of [571, 440, 42]-code) [i]✔
23Linear OA(8129, 569, F8, 40) (dual of [569, 440, 41]-code) [i]✔
24Linear OA(8146, 545, F8, 50) (dual of [545, 399, 51]-code) [i]✔Construction XX with a Chain of Cyclic Codes
25Linear OA(8136, 535, F8, 49) (dual of [535, 399, 50]-code) [i]✔
26Linear OA(8133, 532, F8, 47) (dual of [532, 399, 48]-code) [i]✔
27Linear OA(8139, 547, F8, 47) (dual of [547, 408, 48]-code) [i]✔
28Linear OA(8138, 545, F8, 47) (dual of [545, 407, 48]-code) [i]✔
29Linear OA(8137, 543, F8, 47) (dual of [543, 406, 48]-code) [i]✔
30Linear OA(8140, 545, F8, 48) (dual of [545, 405, 49]-code) [i]✔
31Linear OA(8136, 541, F8, 47) (dual of [541, 405, 48]-code) [i]✔
32Linear OA(8127, 532, F8, 45) (dual of [532, 405, 46]-code) [i]✔
33Linear OA(8115, 532, F8, 41) (dual of [532, 417, 42]-code) [i]✔
34Linear OA(8121, 547, F8, 41) (dual of [547, 426, 42]-code) [i]✔
35Linear OA(8120, 545, F8, 41) (dual of [545, 425, 42]-code) [i]✔
36Linear OA(8119, 543, F8, 41) (dual of [543, 424, 42]-code) [i]✔
37Linear OA(8118, 541, F8, 41) (dual of [541, 423, 42]-code) [i]✔