Information on Result #615126

Linear OA(888, 512, F8, 34) (dual of [512, 424, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(8105, 530, F8, 34) (dual of [530, 425, 35]-code) [i](u, u+v)-Construction
2Linear OA(8107, 534, F8, 34) (dual of [534, 427, 35]-code) [i]
3Linear OA(8108, 536, F8, 34) (dual of [536, 428, 35]-code) [i]
4Linear OA(8109, 539, F8, 34) (dual of [539, 430, 35]-code) [i]
5Linear OA(891, 515, F8, 35) (dual of [515, 424, 36]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(888, 515, F8, 34) (dual of [515, 427, 35]-code) [i]✔
7Linear OA(895, 519, F8, 36) (dual of [519, 424, 37]-code) [i]✔
8Linear OA(890, 520, F8, 34) (dual of [520, 430, 35]-code) [i]✔
9Linear OA(8100, 524, F8, 37) (dual of [524, 424, 38]-code) [i]✔
10Linear OA(891, 522, F8, 34) (dual of [522, 431, 35]-code) [i]✔
11Linear OA(892, 525, F8, 34) (dual of [525, 433, 35]-code) [i]✔
12Linear OA(8104, 528, F8, 38) (dual of [528, 424, 39]-code) [i]✔
13Linear OA(894, 530, F8, 34) (dual of [530, 436, 35]-code) [i]✔
14Linear OA(8109, 533, F8, 39) (dual of [533, 424, 40]-code) [i]✔
15Linear OA(895, 534, F8, 34) (dual of [534, 439, 35]-code) [i]✔
16Linear OA(8117, 541, F8, 41) (dual of [541, 424, 42]-code) [i]✔
17Linear OA(8113, 537, F8, 40) (dual of [537, 424, 41]-code) [i]✔
18Linear OA(898, 538, F8, 34) (dual of [538, 440, 35]-code) [i]✔
19Linear OA(899, 541, F8, 34) (dual of [541, 442, 35]-code) [i]✔
20Linear OA(8122, 546, F8, 42) (dual of [546, 424, 43]-code) [i]✔
21Linear OA(8101, 546, F8, 34) (dual of [546, 445, 35]-code) [i]✔
22Linear OA(8126, 550, F8, 43) (dual of [550, 424, 44]-code) [i]✔
23Linear OA(8102, 550, F8, 34) (dual of [550, 448, 35]-code) [i]✔
24Linear OA(8130, 554, F8, 44) (dual of [554, 424, 45]-code) [i]✔
25Linear OA(8104, 555, F8, 34) (dual of [555, 451, 35]-code) [i]✔
26Linear OA(8134, 558, F8, 45) (dual of [558, 424, 46]-code) [i]✔
27Linear OA(8106, 560, F8, 34) (dual of [560, 454, 35]-code) [i]✔
28Linear OA(8139, 563, F8, 46) (dual of [563, 424, 47]-code) [i]✔
29Linear OA(8108, 565, F8, 34) (dual of [565, 457, 35]-code) [i]✔
30Linear OA(8144, 568, F8, 47) (dual of [568, 424, 48]-code) [i]✔
31Linear OA(8151, 575, F8, 49) (dual of [575, 424, 50]-code) [i]✔
32Linear OA(8149, 573, F8, 48) (dual of [573, 424, 49]-code) [i]✔
33Linear OA(8121, 543, F8, 42) (dual of [543, 422, 43]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(8116, 540, F8, 41) (dual of [540, 424, 42]-code) [i]✔
35Linear OA(8115, 538, F8, 41) (dual of [538, 423, 42]-code) [i]✔
36Linear OA(8114, 536, F8, 41) (dual of [536, 422, 42]-code) [i]✔
37Linear OA(8116, 543, F8, 40) (dual of [543, 427, 41]-code) [i]✔
38Linear OA(8115, 541, F8, 40) (dual of [541, 426, 41]-code) [i]✔
39Linear OA(8114, 539, F8, 40) (dual of [539, 425, 41]-code) [i]✔
40Linear OA(8119, 547, F8, 40) (dual of [547, 428, 41]-code) [i]✔
41Linear OA(8105, 530, F8, 38) (dual of [530, 425, 39]-code) [i]✔
42Linear OA(893, 527, F8, 34) (dual of [527, 434, 35]-code) [i]✔
43Linear OA(898, 540, F8, 34) (dual of [540, 442, 35]-code) [i]✔
44Linear OA(897, 538, F8, 34) (dual of [538, 441, 35]-code) [i]✔
45Linear OA(896, 536, F8, 34) (dual of [536, 440, 35]-code) [i]✔
46Linear OA(8100, 543, F8, 34) (dual of [543, 443, 35]-code) [i]✔