Information on Result #615299

Linear OA(8139, 513, F8, 53) (dual of [513, 374, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (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(8165, 540, F8, 53) (dual of [540, 375, 54]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(8146, 520, F8, 55) (dual of [520, 374, 56]-code) [i]✔
3Linear OA(8140, 520, F8, 53) (dual of [520, 380, 54]-code) [i]✔
4Linear OA(8154, 523, F8, 57) (dual of [523, 369, 58]-code) [i]✔
5Linear OA(8155, 529, F8, 57) (dual of [529, 374, 58]-code) [i]✔
6Linear OA(8142, 523, F8, 53) (dual of [523, 381, 54]-code) [i]✔
7Linear OA(8143, 529, F8, 53) (dual of [529, 386, 54]-code) [i]✔
8Linear OA(8164, 538, F8, 59) (dual of [538, 374, 60]-code) [i]✔
9Linear OA(8149, 537, F8, 53) (dual of [537, 388, 54]-code) [i]✔
10Linear OA(8150, 540, F8, 53) (dual of [540, 390, 54]-code) [i]✔
11Linear OA(8151, 542, F8, 53) (dual of [542, 391, 54]-code) [i]✔
12Linear OA(8152, 544, F8, 53) (dual of [544, 392, 54]-code) [i]✔
13Linear OA(8148, 537, F8, 52) (dual of [537, 389, 53]-code) [i]✔
14Linear OA(8150, 542, F8, 52) (dual of [542, 392, 53]-code) [i]✔
15Linear OA(8154, 552, F8, 53) (dual of [552, 398, 54]-code) [i]✔
16Linear OA(8157, 561, F8, 53) (dual of [561, 404, 54]-code) [i]✔
17Linear OA(8155, 559, F8, 52) (dual of [559, 404, 53]-code) [i]✔
18Linear OA(8161, 571, F8, 53) (dual of [571, 410, 54]-code) [i]✔
19Linear OA(8159, 569, F8, 52) (dual of [569, 410, 53]-code) [i]✔
20Linear OA(8173, 544, F8, 60) (dual of [544, 371, 61]-code) [i]✔Construction XX with a Chain of Cyclic Codes
21Linear OA(8173, 543, F8, 61) (dual of [543, 370, 62]-code) [i]✔
22Linear OA(8172, 541, F8, 61) (dual of [541, 369, 62]-code) [i]✔
23Linear OA(8163, 532, F8, 59) (dual of [532, 369, 60]-code) [i]✔
24Linear OA(8169, 547, F8, 59) (dual of [547, 378, 60]-code) [i]✔
25Linear OA(8168, 545, F8, 59) (dual of [545, 377, 60]-code) [i]✔
26Linear OA(8167, 543, F8, 59) (dual of [543, 376, 60]-code) [i]✔
27Linear OA(8166, 541, F8, 59) (dual of [541, 375, 60]-code) [i]✔
28Linear OA(8157, 532, F8, 57) (dual of [532, 375, 58]-code) [i]✔
29Linear OA(8149, 538, F8, 53) (dual of [538, 389, 54]-code) [i]✔
30Linear OA(8148, 536, F8, 53) (dual of [536, 388, 54]-code) [i]✔
31Linear OA(8147, 534, F8, 53) (dual of [534, 387, 54]-code) [i]✔
32Linear OA(8152, 545, F8, 52) (dual of [545, 393, 53]-code) [i]✔