Information on Result #615268

Linear OA(8130, 512, F8, 50) (dual of [512, 382, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50

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(8155, 538, F8, 50) (dual of [538, 383, 51]-code) [i](u, u+v)-Construction
2Linear OA(8133, 515, F8, 51) (dual of [515, 382, 52]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(8130, 515, F8, 50) (dual of [515, 385, 51]-code) [i]✔
4Linear OA(8137, 519, F8, 52) (dual of [519, 382, 53]-code) [i]✔
5Linear OA(8132, 520, F8, 50) (dual of [520, 388, 51]-code) [i]✔
6Linear OA(8142, 524, F8, 53) (dual of [524, 382, 54]-code) [i]✔
7Linear OA(8133, 522, F8, 50) (dual of [522, 389, 51]-code) [i]✔
8Linear OA(8134, 525, F8, 50) (dual of [525, 391, 51]-code) [i]✔
9Linear OA(8146, 528, F8, 54) (dual of [528, 382, 55]-code) [i]✔
10Linear OA(8136, 530, F8, 50) (dual of [530, 394, 51]-code) [i]✔
11Linear OA(8151, 533, F8, 55) (dual of [533, 382, 56]-code) [i]✔
12Linear OA(8137, 534, F8, 50) (dual of [534, 397, 51]-code) [i]✔
13Linear OA(8159, 541, F8, 57) (dual of [541, 382, 58]-code) [i]✔
14Linear OA(8155, 537, F8, 56) (dual of [537, 382, 57]-code) [i]✔
15Linear OA(8140, 538, F8, 50) (dual of [538, 398, 51]-code) [i]✔
16Linear OA(8141, 541, F8, 50) (dual of [541, 400, 51]-code) [i]✔
17Linear OA(8164, 546, F8, 58) (dual of [546, 382, 59]-code) [i]✔
18Linear OA(8143, 546, F8, 50) (dual of [546, 403, 51]-code) [i]✔
19Linear OA(8168, 550, F8, 59) (dual of [550, 382, 60]-code) [i]✔
20Linear OA(8144, 550, F8, 50) (dual of [550, 406, 51]-code) [i]✔
21Linear OA(8172, 554, F8, 60) (dual of [554, 382, 61]-code) [i]✔
22Linear OA(8146, 555, F8, 50) (dual of [555, 409, 51]-code) [i]✔
23Linear OA(8148, 560, F8, 50) (dual of [560, 412, 51]-code) [i]✔
24Linear OA(8150, 565, F8, 50) (dual of [565, 415, 51]-code) [i]✔
25Linear OA(8152, 570, F8, 50) (dual of [570, 418, 51]-code) [i]✔
26Linear OA(8154, 575, F8, 50) (dual of [575, 421, 51]-code) [i]✔
27Linear OA(8163, 543, F8, 58) (dual of [543, 380, 59]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(8158, 540, F8, 57) (dual of [540, 382, 58]-code) [i]✔
29Linear OA(8157, 538, F8, 57) (dual of [538, 381, 58]-code) [i]✔
30Linear OA(8156, 536, F8, 57) (dual of [536, 380, 58]-code) [i]✔
31Linear OA(8158, 543, F8, 56) (dual of [543, 385, 57]-code) [i]✔
32Linear OA(8157, 541, F8, 56) (dual of [541, 384, 57]-code) [i]✔
33Linear OA(8156, 539, F8, 56) (dual of [539, 383, 57]-code) [i]✔
34Linear OA(8161, 547, F8, 56) (dual of [547, 386, 57]-code) [i]✔
35Linear OA(8147, 530, F8, 54) (dual of [530, 383, 55]-code) [i]✔
36Linear OA(8135, 527, F8, 50) (dual of [527, 392, 51]-code) [i]✔
37Linear OA(8140, 540, F8, 50) (dual of [540, 400, 51]-code) [i]✔
38Linear OA(8139, 538, F8, 50) (dual of [538, 399, 51]-code) [i]✔
39Linear OA(8138, 536, F8, 50) (dual of [536, 398, 51]-code) [i]✔
40Linear OA(8142, 543, F8, 50) (dual of [543, 401, 51]-code) [i]✔