Information on Result #687627

Linear OA(8121, 513, F8, 45) (dual of [513, 392, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(8130, 522, F8, 49) (dual of [522, 392, 50]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(8122, 520, F8, 45) (dual of [520, 398, 46]-code) [i]✔
3Linear OA(8139, 527, F8, 51) (dual of [527, 388, 52]-code) [i]✔
4Linear OA(8140, 532, F8, 51) (dual of [532, 392, 52]-code) [i]✔
5Linear OA(8138, 527, F8, 50) (dual of [527, 389, 51]-code) [i]✔
6Linear OA(8124, 523, F8, 45) (dual of [523, 399, 46]-code) [i]✔
7Linear OA(8125, 529, F8, 45) (dual of [529, 404, 46]-code) [i]✔
8Linear OA(8149, 537, F8, 53) (dual of [537, 388, 54]-code) [i]✔
9Linear OA(8150, 540, F8, 53) (dual of [540, 390, 54]-code) [i]✔
10Linear OA(8151, 542, F8, 53) (dual of [542, 391, 54]-code) [i]✔
11Linear OA(8152, 544, F8, 53) (dual of [544, 392, 54]-code) [i]✔
12Linear OA(8148, 537, F8, 52) (dual of [537, 389, 53]-code) [i]✔
13Linear OA(8150, 542, F8, 52) (dual of [542, 392, 53]-code) [i]✔
14Linear OA(8128, 538, F8, 45) (dual of [538, 410, 46]-code) [i]✔
15Linear OA(8160, 552, F8, 55) (dual of [552, 392, 56]-code) [i]✔
16Linear OA(8134, 550, F8, 45) (dual of [550, 416, 46]-code) [i]✔
17Linear OA(8132, 548, F8, 44) (dual of [548, 416, 45]-code) [i]✔
18Linear OA(8169, 561, F8, 57) (dual of [561, 392, 58]-code) [i]✔
19Linear OA(8167, 559, F8, 56) (dual of [559, 392, 57]-code) [i]✔
20Linear OA(8136, 558, F8, 45) (dual of [558, 422, 46]-code) [i]✔
21Linear OA(8139, 567, F8, 45) (dual of [567, 428, 46]-code) [i]✔
22Linear OA(8137, 565, F8, 44) (dual of [565, 428, 45]-code) [i]✔
23Linear OA(8159, 549, F8, 55) (dual of [549, 390, 56]-code) [i]✔Construction XX with a Chain of Cyclic Codes
24Linear OA(8158, 547, F8, 55) (dual of [547, 389, 56]-code) [i]✔
25Linear OA(8157, 545, F8, 55) (dual of [545, 388, 56]-code) [i]✔
26Linear OA(8156, 543, F8, 55) (dual of [543, 387, 56]-code) [i]✔
27Linear OA(8149, 538, F8, 53) (dual of [538, 389, 54]-code) [i]✔
28Linear OA(8148, 536, F8, 53) (dual of [536, 388, 54]-code) [i]✔
29Linear OA(8147, 534, F8, 53) (dual of [534, 387, 54]-code) [i]✔
30Linear OA(8152, 545, F8, 52) (dual of [545, 393, 53]-code) [i]✔
31Linear OA(8138, 525, F8, 51) (dual of [525, 387, 52]-code) [i]✔
32Linear OA(8142, 535, F8, 51) (dual of [535, 393, 52]-code) [i]✔
33Linear OA(8132, 525, F8, 49) (dual of [525, 393, 50]-code) [i]✔
34Linear OA(8127, 532, F8, 45) (dual of [532, 405, 46]-code) [i]✔
35Linear OA(8133, 547, F8, 45) (dual of [547, 414, 46]-code) [i]✔
36Linear OA(8132, 545, F8, 45) (dual of [545, 413, 46]-code) [i]✔
37Linear OA(8131, 543, F8, 45) (dual of [543, 412, 46]-code) [i]✔
38Linear OA(8130, 541, F8, 45) (dual of [541, 411, 46]-code) [i]✔