Information on Result #615286

Linear OA(8136, 512, F8, 52) (dual of [512, 376, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52

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(8139, 515, F8, 53) (dual of [515, 376, 54]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8136, 515, F8, 52) (dual of [515, 379, 53]-code) [i]✔
3Linear OA(8143, 519, F8, 54) (dual of [519, 376, 55]-code) [i]✔
4Linear OA(8137, 519, F8, 52) (dual of [519, 382, 53]-code) [i]✔
5Linear OA(8148, 524, F8, 55) (dual of [524, 376, 56]-code) [i]✔
6Linear OA(8138, 521, F8, 52) (dual of [521, 383, 53]-code) [i]✔
7Linear OA(8139, 524, F8, 52) (dual of [524, 385, 53]-code) [i]✔
8Linear OA(8154, 530, F8, 57) (dual of [530, 376, 58]-code) [i]✔
9Linear OA(8152, 528, F8, 56) (dual of [528, 376, 57]-code) [i]✔
10Linear OA(8142, 530, F8, 52) (dual of [530, 388, 53]-code) [i]✔
11Linear OA(8158, 534, F8, 58) (dual of [534, 376, 59]-code) [i]✔
12Linear OA(8143, 534, F8, 52) (dual of [534, 391, 53]-code) [i]✔
13Linear OA(8165, 541, F8, 59) (dual of [541, 376, 60]-code) [i]✔
14Linear OA(8146, 538, F8, 52) (dual of [538, 392, 53]-code) [i]✔
15Linear OA(8147, 541, F8, 52) (dual of [541, 394, 53]-code) [i]✔
16Linear OA(8170, 546, F8, 60) (dual of [546, 376, 61]-code) [i]✔
17Linear OA(8149, 546, F8, 52) (dual of [546, 397, 53]-code) [i]✔
18Linear OA(8150, 550, F8, 52) (dual of [550, 400, 53]-code) [i]✔
19Linear OA(8151, 554, F8, 52) (dual of [554, 403, 53]-code) [i]✔
20Linear OA(8152, 558, F8, 52) (dual of [558, 406, 53]-code) [i]✔
21Linear OA(8156, 565, F8, 52) (dual of [565, 409, 53]-code) [i]✔
22Linear OA(8158, 570, F8, 52) (dual of [570, 412, 53]-code) [i]✔
23Linear OA(8169, 543, F8, 60) (dual of [543, 374, 61]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(8164, 540, F8, 59) (dual of [540, 376, 60]-code) [i]✔
25Linear OA(8163, 538, F8, 59) (dual of [538, 375, 60]-code) [i]✔
26Linear OA(8162, 536, F8, 59) (dual of [536, 374, 60]-code) [i]✔
27Linear OA(8161, 540, F8, 58) (dual of [540, 379, 59]-code) [i]✔
28Linear OA(8160, 538, F8, 58) (dual of [538, 378, 59]-code) [i]✔
29Linear OA(8159, 536, F8, 58) (dual of [536, 377, 59]-code) [i]✔
30Linear OA(8163, 543, F8, 58) (dual of [543, 380, 59]-code) [i]✔
31Linear OA(8153, 527, F8, 57) (dual of [527, 374, 58]-code) [i]✔
32Linear OA(8153, 530, F8, 56) (dual of [530, 377, 57]-code) [i]✔
33Linear OA(8141, 527, F8, 52) (dual of [527, 386, 53]-code) [i]✔
34Linear OA(8146, 540, F8, 52) (dual of [540, 394, 53]-code) [i]✔
35Linear OA(8145, 538, F8, 52) (dual of [538, 393, 53]-code) [i]✔
36Linear OA(8144, 536, F8, 52) (dual of [536, 392, 53]-code) [i]✔
37Linear OA(8148, 543, F8, 52) (dual of [543, 395, 53]-code) [i]✔