Information on Result #615161

Linear OA(897, 513, F8, 37) (dual of [513, 416, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(8117, 536, F8, 37) (dual of [536, 419, 38]-code) [i](u, u+v)-Construction
2Linear OA(8119, 539, F8, 37) (dual of [539, 420, 38]-code) [i]
3Linear OA(8120, 541, F8, 37) (dual of [541, 421, 38]-code) [i]
4Linear OA(8115, 532, F8, 37) (dual of [532, 417, 38]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(8104, 520, F8, 39) (dual of [520, 416, 40]-code) [i]✔
6Linear OA(898, 520, F8, 37) (dual of [520, 422, 38]-code) [i]✔
7Linear OA(8112, 523, F8, 41) (dual of [523, 411, 42]-code) [i]✔
8Linear OA(8113, 529, F8, 41) (dual of [529, 416, 42]-code) [i]✔
9Linear OA(8100, 523, F8, 37) (dual of [523, 423, 38]-code) [i]✔
10Linear OA(8101, 529, F8, 37) (dual of [529, 428, 38]-code) [i]✔
11Linear OA(8122, 538, F8, 43) (dual of [538, 416, 44]-code) [i]✔
12Linear OA(8107, 537, F8, 37) (dual of [537, 430, 38]-code) [i]✔
13Linear OA(8108, 540, F8, 37) (dual of [540, 432, 38]-code) [i]✔
14Linear OA(8109, 542, F8, 37) (dual of [542, 433, 38]-code) [i]✔
15Linear OA(8110, 544, F8, 37) (dual of [544, 434, 38]-code) [i]✔
16Linear OA(8106, 537, F8, 36) (dual of [537, 431, 37]-code) [i]✔
17Linear OA(8108, 542, F8, 36) (dual of [542, 434, 37]-code) [i]✔
18Linear OA(8134, 550, F8, 45) (dual of [550, 416, 46]-code) [i]✔
19Linear OA(8132, 548, F8, 44) (dual of [548, 416, 45]-code) [i]✔
20Linear OA(8112, 552, F8, 37) (dual of [552, 440, 38]-code) [i]✔
21Linear OA(8145, 561, F8, 49) (dual of [561, 416, 50]-code) [i]✔
22Linear OA(8143, 559, F8, 48) (dual of [559, 416, 49]-code) [i]✔
23Linear OA(8115, 561, F8, 37) (dual of [561, 446, 38]-code) [i]✔
24Linear OA(8113, 559, F8, 36) (dual of [559, 446, 37]-code) [i]✔
25Linear OA(8155, 571, F8, 51) (dual of [571, 416, 52]-code) [i]✔
26Linear OA(8153, 569, F8, 50) (dual of [569, 416, 51]-code) [i]✔
27Linear OA(8119, 571, F8, 37) (dual of [571, 452, 38]-code) [i]✔
28Linear OA(8117, 569, F8, 36) (dual of [569, 452, 37]-code) [i]✔
29Linear OA(8133, 547, F8, 45) (dual of [547, 414, 46]-code) [i]✔Construction XX with a Chain of Cyclic Codes
30Linear OA(8132, 545, F8, 45) (dual of [545, 413, 46]-code) [i]✔
31Linear OA(8131, 543, F8, 45) (dual of [543, 412, 46]-code) [i]✔
32Linear OA(8130, 541, F8, 45) (dual of [541, 411, 46]-code) [i]✔
33Linear OA(8121, 532, F8, 43) (dual of [532, 411, 44]-code) [i]✔
34Linear OA(8127, 547, F8, 43) (dual of [547, 420, 44]-code) [i]✔
35Linear OA(8126, 545, F8, 43) (dual of [545, 419, 44]-code) [i]✔
36Linear OA(8125, 543, F8, 43) (dual of [543, 418, 44]-code) [i]✔
37Linear OA(8124, 541, F8, 43) (dual of [541, 417, 44]-code) [i]✔
38Linear OA(8115, 532, F8, 41) (dual of [532, 417, 42]-code) [i]✔
39Linear OA(8107, 538, F8, 37) (dual of [538, 431, 38]-code) [i]✔
40Linear OA(8106, 536, F8, 37) (dual of [536, 430, 38]-code) [i]✔
41Linear OA(8105, 534, F8, 37) (dual of [534, 429, 38]-code) [i]✔
42Linear OA(8110, 545, F8, 36) (dual of [545, 435, 37]-code) [i]✔