Information on Result #615091

Linear OA(879, 512, F8, 30) (dual of [512, 433, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(894, 528, F8, 30) (dual of [528, 434, 31]-code) [i](u, u+v)-Construction
2Linear OA(895, 530, F8, 30) (dual of [530, 435, 31]-code) [i]
3Linear OA(896, 532, F8, 30) (dual of [532, 436, 31]-code) [i]
4Linear OA(897, 536, F8, 30) (dual of [536, 439, 31]-code) [i]
5Linear OA(882, 515, F8, 31) (dual of [515, 433, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(879, 515, F8, 30) (dual of [515, 436, 31]-code) [i]✔
7Linear OA(887, 520, F8, 33) (dual of [520, 433, 34]-code) [i]✔
8Linear OA(880, 519, F8, 30) (dual of [519, 439, 31]-code) [i]✔
9Linear OA(891, 522, F8, 34) (dual of [522, 431, 35]-code) [i]✔
10Linear OA(892, 525, F8, 34) (dual of [525, 433, 35]-code) [i]✔
11Linear OA(881, 521, F8, 30) (dual of [521, 440, 31]-code) [i]✔
12Linear OA(882, 524, F8, 30) (dual of [524, 442, 31]-code) [i]✔
13Linear OA(897, 530, F8, 35) (dual of [530, 433, 36]-code) [i]✔
14Linear OA(883, 528, F8, 30) (dual of [528, 445, 31]-code) [i]✔
15Linear OA(8101, 534, F8, 36) (dual of [534, 433, 37]-code) [i]✔
16Linear OA(885, 533, F8, 30) (dual of [533, 448, 31]-code) [i]✔
17Linear OA(8108, 541, F8, 37) (dual of [541, 433, 38]-code) [i]✔
18Linear OA(889, 538, F8, 30) (dual of [538, 449, 31]-code) [i]✔
19Linear OA(890, 541, F8, 30) (dual of [541, 451, 31]-code) [i]✔
20Linear OA(8113, 546, F8, 38) (dual of [546, 433, 39]-code) [i]✔
21Linear OA(892, 546, F8, 30) (dual of [546, 454, 31]-code) [i]✔
22Linear OA(8117, 550, F8, 39) (dual of [550, 433, 40]-code) [i]✔
23Linear OA(893, 550, F8, 30) (dual of [550, 457, 31]-code) [i]✔
24Linear OA(8122, 555, F8, 41) (dual of [555, 433, 42]-code) [i]✔
25Linear OA(894, 554, F8, 30) (dual of [554, 460, 31]-code) [i]✔
26Linear OA(8127, 560, F8, 42) (dual of [560, 433, 43]-code) [i]✔
27Linear OA(895, 558, F8, 30) (dual of [558, 463, 31]-code) [i]✔
28Linear OA(8132, 565, F8, 43) (dual of [565, 433, 44]-code) [i]✔
29Linear OA(897, 563, F8, 30) (dual of [563, 466, 31]-code) [i]✔
30Linear OA(8137, 570, F8, 44) (dual of [570, 433, 45]-code) [i]✔
31Linear OA(8142, 575, F8, 45) (dual of [575, 433, 46]-code) [i]✔
32Linear OA(8112, 543, F8, 38) (dual of [543, 431, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(8107, 540, F8, 37) (dual of [540, 433, 38]-code) [i]✔
34Linear OA(8106, 538, F8, 37) (dual of [538, 432, 38]-code) [i]✔
35Linear OA(8105, 536, F8, 37) (dual of [536, 431, 38]-code) [i]✔
36Linear OA(8104, 540, F8, 36) (dual of [540, 436, 37]-code) [i]✔
37Linear OA(8103, 538, F8, 36) (dual of [538, 435, 37]-code) [i]✔
38Linear OA(8102, 536, F8, 36) (dual of [536, 434, 37]-code) [i]✔
39Linear OA(8106, 543, F8, 36) (dual of [543, 437, 37]-code) [i]✔
40Linear OA(896, 527, F8, 35) (dual of [527, 431, 36]-code) [i]✔
41Linear OA(893, 527, F8, 34) (dual of [527, 434, 35]-code) [i]✔
42Linear OA(884, 530, F8, 30) (dual of [530, 446, 31]-code) [i]✔
43Linear OA(889, 540, F8, 30) (dual of [540, 451, 31]-code) [i]✔
44Linear OA(888, 538, F8, 30) (dual of [538, 450, 31]-code) [i]✔
45Linear OA(887, 536, F8, 30) (dual of [536, 449, 31]-code) [i]✔
46Linear OA(891, 543, F8, 30) (dual of [543, 452, 31]-code) [i]✔