Information on Result #614802

Linear OA(833, large, F8, 5) (dual of [large, large−33, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(833, large, F8, 4) (dual of [large, large−33, 5]-code) [i]Strength Reduction
2Linear OA(833, large, F8, 3) (dual of [large, large−33, 4]-code) [i]
3Linear OA(834, large, F8, 5) (dual of [large, large−34, 6]-code) [i]Code Embedding in Larger Space
4Linear OA(835, large, F8, 5) (dual of [large, large−35, 6]-code) [i]
5Linear OA(836, large, F8, 5) (dual of [large, large−36, 6]-code) [i]
6Linear OA(837, large, F8, 5) (dual of [large, large−37, 6]-code) [i]
7Linear OA(838, large, F8, 5) (dual of [large, large−38, 6]-code) [i]
8Linear OA(839, large, F8, 5) (dual of [large, large−39, 6]-code) [i]
9Linear OA(840, large, F8, 5) (dual of [large, large−40, 6]-code) [i]
10Linear OA(842, large, F8, 5) (dual of [large, large−42, 6]-code) [i]
11Linear OA(843, large, F8, 5) (dual of [large, large−43, 6]-code) [i]
12Linear OA(844, large, F8, 5) (dual of [large, large−44, 6]-code) [i]
13Linear OA(845, large, F8, 5) (dual of [large, large−45, 6]-code) [i]
14Linear OA(846, large, F8, 5) (dual of [large, large−46, 6]-code) [i]
15Linear OA(847, large, F8, 5) (dual of [large, large−47, 6]-code) [i]
16Linear OA(848, large, F8, 5) (dual of [large, large−48, 6]-code) [i]
17Linear OA(850, large, F8, 5) (dual of [large, large−50, 6]-code) [i]
18Linear OA(851, large, F8, 5) (dual of [large, large−51, 6]-code) [i]
19Linear OA(852, large, F8, 5) (dual of [large, large−52, 6]-code) [i]
20Linear OA(853, large, F8, 5) (dual of [large, large−53, 6]-code) [i]
21Linear OA(854, large, F8, 5) (dual of [large, large−54, 6]-code) [i]
22Linear OA(855, large, F8, 5) (dual of [large, large−55, 6]-code) [i]
23Linear OA(858, large, F8, 5) (dual of [large, large−58, 6]-code) [i]
24Linear OA(859, large, F8, 5) (dual of [large, large−59, 6]-code) [i]
25Linear OA(860, large, F8, 5) (dual of [large, large−60, 6]-code) [i]
26Linear OA(861, large, F8, 5) (dual of [large, large−61, 6]-code) [i]
27Linear OA(862, large, F8, 5) (dual of [large, large−62, 6]-code) [i]
28Linear OA(863, large, F8, 5) (dual of [large, large−63, 6]-code) [i]
29Linear OA(864, large, F8, 5) (dual of [large, large−64, 6]-code) [i]
30Linear OA(866, large, F8, 5) (dual of [large, large−66, 6]-code) [i]
31Linear OA(867, large, F8, 5) (dual of [large, large−67, 6]-code) [i]
32Linear OA(868, large, F8, 5) (dual of [large, large−68, 6]-code) [i]
33Linear OA(869, large, F8, 5) (dual of [large, large−69, 6]-code) [i]
34Linear OA(870, large, F8, 5) (dual of [large, large−70, 6]-code) [i]
35Linear OA(871, large, F8, 5) (dual of [large, large−71, 6]-code) [i]
36Linear OA(872, large, F8, 5) (dual of [large, large−72, 6]-code) [i]
37Linear OA(874, large, F8, 5) (dual of [large, large−74, 6]-code) [i]
38Linear OA(875, large, F8, 5) (dual of [large, large−75, 6]-code) [i]
39Linear OA(876, large, F8, 5) (dual of [large, large−76, 6]-code) [i]
40Linear OA(877, large, F8, 5) (dual of [large, large−77, 6]-code) [i]
41Linear OA(878, large, F8, 5) (dual of [large, large−78, 6]-code) [i]
42Linear OA(879, large, F8, 5) (dual of [large, large−79, 6]-code) [i]
43Linear OA(880, large, F8, 5) (dual of [large, large−80, 6]-code) [i]
44Linear OA(882, large, F8, 5) (dual of [large, large−82, 6]-code) [i]
45Linear OA(883, large, F8, 5) (dual of [large, large−83, 6]-code) [i]
46Linear OA(884, large, F8, 5) (dual of [large, large−84, 6]-code) [i]
47Linear OA(885, large, F8, 5) (dual of [large, large−85, 6]-code) [i]
48Linear OA(886, large, F8, 5) (dual of [large, large−86, 6]-code) [i]
49Linear OA(887, large, F8, 5) (dual of [large, large−87, 6]-code) [i]
50Linear OA(888, large, F8, 5) (dual of [large, large−88, 6]-code) [i]
51Linear OA(890, large, F8, 5) (dual of [large, large−90, 6]-code) [i]
52Linear OA(891, large, F8, 5) (dual of [large, large−91, 6]-code) [i]
53Linear OA(892, large, F8, 5) (dual of [large, large−92, 6]-code) [i]
54Linear OA(893, large, F8, 5) (dual of [large, large−93, 6]-code) [i]
55Linear OA(894, large, F8, 5) (dual of [large, large−94, 6]-code) [i]
56Linear OA(895, large, F8, 5) (dual of [large, large−95, 6]-code) [i]
57Linear OA(896, large, F8, 5) (dual of [large, large−96, 6]-code) [i]
58Linear OA(898, large, F8, 5) (dual of [large, large−98, 6]-code) [i]
59Linear OA(899, large, F8, 5) (dual of [large, large−99, 6]-code) [i]
60Linear OA(8100, large, F8, 5) (dual of [large, large−100, 6]-code) [i]
61Linear OA(8101, large, F8, 5) (dual of [large, large−101, 6]-code) [i]
62Linear OA(8102, large, F8, 5) (dual of [large, large−102, 6]-code) [i]
63Linear OA(8103, large, F8, 5) (dual of [large, large−103, 6]-code) [i]
64Linear OA(8104, large, F8, 5) (dual of [large, large−104, 6]-code) [i]
65Linear OA(8106, large, F8, 5) (dual of [large, large−106, 6]-code) [i]
66Linear OA(8107, large, F8, 5) (dual of [large, large−107, 6]-code) [i]
67Linear OA(8108, large, F8, 5) (dual of [large, large−108, 6]-code) [i]
68Linear OA(8109, large, F8, 5) (dual of [large, large−109, 6]-code) [i]
69Linear OA(8110, large, F8, 5) (dual of [large, large−110, 6]-code) [i]
70Linear OA(8111, large, F8, 5) (dual of [large, large−111, 6]-code) [i]
71Linear OA(8114, large, F8, 5) (dual of [large, large−114, 6]-code) [i]
72Linear OA(8115, large, F8, 5) (dual of [large, large−115, 6]-code) [i]
73Linear OA(8116, large, F8, 5) (dual of [large, large−116, 6]-code) [i]
74Linear OA(8117, large, F8, 5) (dual of [large, large−117, 6]-code) [i]
75Linear OA(8118, large, F8, 5) (dual of [large, large−118, 6]-code) [i]
76Linear OA(8119, large, F8, 5) (dual of [large, large−119, 6]-code) [i]
77Linear OA(8120, large, F8, 5) (dual of [large, large−120, 6]-code) [i]
78Linear OA(8122, large, F8, 5) (dual of [large, large−122, 6]-code) [i]
79Linear OA(8123, large, F8, 5) (dual of [large, large−123, 6]-code) [i]
80Linear OA(8124, large, F8, 5) (dual of [large, large−124, 6]-code) [i]
81Linear OA(8125, large, F8, 5) (dual of [large, large−125, 6]-code) [i]
82Linear OA(8126, large, F8, 5) (dual of [large, large−126, 6]-code) [i]
83Linear OA(8127, large, F8, 5) (dual of [large, large−127, 6]-code) [i]
84Linear OA(8128, large, F8, 5) (dual of [large, large−128, 6]-code) [i]
85Linear OA(8130, large, F8, 5) (dual of [large, large−130, 6]-code) [i]
86Linear OA(8131, large, F8, 5) (dual of [large, large−131, 6]-code) [i]
87Linear OA(8132, large, F8, 5) (dual of [large, large−132, 6]-code) [i]
88Linear OA(8133, large, F8, 5) (dual of [large, large−133, 6]-code) [i]
89Linear OA(8134, large, F8, 5) (dual of [large, large−134, 6]-code) [i]
90Linear OA(8135, large, F8, 5) (dual of [large, large−135, 6]-code) [i]
91Linear OA(8136, large, F8, 5) (dual of [large, large−136, 6]-code) [i]
92Linear OA(8138, large, F8, 5) (dual of [large, large−138, 6]-code) [i]
93Linear OA(8139, large, F8, 5) (dual of [large, large−139, 6]-code) [i]
94Linear OA(8140, large, F8, 5) (dual of [large, large−140, 6]-code) [i]
95Linear OA(8141, large, F8, 5) (dual of [large, large−141, 6]-code) [i]
96Linear OA(8142, large, F8, 5) (dual of [large, large−142, 6]-code) [i]
97Linear OA(8143, large, F8, 5) (dual of [large, large−143, 6]-code) [i]
98Linear OA(8144, large, F8, 5) (dual of [large, large−144, 6]-code) [i]
99Linear OA(8146, large, F8, 5) (dual of [large, large−146, 6]-code) [i]
100Linear OA(8147, large, F8, 5) (dual of [large, large−147, 6]-code) [i]
101Linear OA(8148, large, F8, 5) (dual of [large, large−148, 6]-code) [i]
102Linear OA(8149, large, F8, 5) (dual of [large, large−149, 6]-code) [i]
103Linear OA(8150, large, F8, 5) (dual of [large, large−150, 6]-code) [i]
104Linear OA(8151, large, F8, 5) (dual of [large, large−151, 6]-code) [i]
105Linear OA(8152, large, F8, 5) (dual of [large, large−152, 6]-code) [i]
106Linear OA(8154, large, F8, 5) (dual of [large, large−154, 6]-code) [i]
107Linear OA(8155, large, F8, 5) (dual of [large, large−155, 6]-code) [i]
108Linear OA(8156, large, F8, 5) (dual of [large, large−156, 6]-code) [i]
109Linear OA(8157, large, F8, 5) (dual of [large, large−157, 6]-code) [i]
110Linear OA(8158, large, F8, 5) (dual of [large, large−158, 6]-code) [i]
111Linear OA(8159, large, F8, 5) (dual of [large, large−159, 6]-code) [i]
112Linear OA(8160, large, F8, 5) (dual of [large, large−160, 6]-code) [i]
113Linear OA(8162, large, F8, 5) (dual of [large, large−162, 6]-code) [i]
114Linear OA(8163, large, F8, 5) (dual of [large, large−163, 6]-code) [i]
115Linear OA(8164, large, F8, 5) (dual of [large, large−164, 6]-code) [i]
116Linear OA(8165, large, F8, 5) (dual of [large, large−165, 6]-code) [i]
117Linear OA(8166, large, F8, 5) (dual of [large, large−166, 6]-code) [i]
118Linear OA(8167, large, F8, 5) (dual of [large, large−167, 6]-code) [i]
119Linear OA(8170, large, F8, 5) (dual of [large, large−170, 6]-code) [i]
120Linear OA(8171, large, F8, 5) (dual of [large, large−171, 6]-code) [i]
121Linear OA(8172, large, F8, 5) (dual of [large, large−172, 6]-code) [i]
122Linear OA(8173, large, F8, 5) (dual of [large, large−173, 6]-code) [i]
123Linear OOA(833, 4194301, F8, 2, 5) (dual of [(4194301, 2), 8388569, 6]-NRT-code) [i]OOA Folding
124Linear OOA(833, 4194301, F8, 3, 5) (dual of [(4194301, 3), 12582870, 6]-NRT-code) [i]OOA Folding and Stacking with Additional Row
125Linear OOA(833, 4194301, F8, 5, 5) (dual of [(4194301, 5), 20971472, 6]-NRT-code) [i]