Information on Result #1900695

Linear OOA(811sF81, 4, 1) for arbitrarily large s, using appending 3 arbitrary columns based on linear OA(811sF81, 1) (dual of [ss−1, 2]-code) for arbitrarily large s, using

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 t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(8180, large, F81, 4, 12) [i]Generalized (u, u+v)-Construction for OOAs
2Linear OOA(8180, large, F81, 4, 12) [i]
3Linear OOA(8180, large, F81, 4, 12) [i]
4Linear OOA(8180, large, F81, 4, 12) [i]
5Linear OOA(8180, large, F81, 4, 12) [i]
6Linear OOA(8180, large, F81, 4, 12) [i]
7Linear OOA(8129, 6642, F81, 4, 11) (dual of [(6642, 4), 26539, 12]-NRT-code) [i]
8Linear OOA(8129, 6642, F81, 4, 11) (dual of [(6642, 4), 26539, 12]-NRT-code) [i]
9Linear OOA(8129, 6642, F81, 4, 11) (dual of [(6642, 4), 26539, 12]-NRT-code) [i]
10Linear OOA(8129, 6642, F81, 4, 11) (dual of [(6642, 4), 26539, 12]-NRT-code) [i]
11Linear OOA(8129, 6642, F81, 4, 11) (dual of [(6642, 4), 26539, 12]-NRT-code) [i]
12Linear OOA(8129, 6642, F81, 4, 11) (dual of [(6642, 4), 26539, 12]-NRT-code) [i]
13Linear OOA(8130, 6660, F81, 4, 11) (dual of [(6660, 4), 26610, 12]-NRT-code) [i]
14Linear OOA(8130, 6660, F81, 4, 11) (dual of [(6660, 4), 26610, 12]-NRT-code) [i]
15Linear OOA(8130, 6660, F81, 4, 11) (dual of [(6660, 4), 26610, 12]-NRT-code) [i]
16Linear OOA(8130, 6660, F81, 4, 11) (dual of [(6660, 4), 26610, 12]-NRT-code) [i]
17Linear OOA(8130, 6660, F81, 4, 11) (dual of [(6660, 4), 26610, 12]-NRT-code) [i]
18Linear OOA(8130, 6660, F81, 4, 11) (dual of [(6660, 4), 26610, 12]-NRT-code) [i]
19Linear OOA(8164, large, F81, 4, 11) [i]
20Linear OOA(8164, large, F81, 4, 11) [i]
21Linear OOA(8164, large, F81, 4, 11) [i]
22Linear OOA(8164, large, F81, 4, 11) [i]
23Linear OOA(8164, large, F81, 4, 11) [i]
24Linear OOA(8164, large, F81, 4, 11) [i]
25Linear OOA(8127, 6642, F81, 4, 10) (dual of [(6642, 4), 26541, 11]-NRT-code) [i]
26Linear OOA(8127, 6642, F81, 4, 10) (dual of [(6642, 4), 26541, 11]-NRT-code) [i]
27Linear OOA(8127, 6642, F81, 4, 10) (dual of [(6642, 4), 26541, 11]-NRT-code) [i]
28Linear OOA(8127, 6642, F81, 4, 10) (dual of [(6642, 4), 26541, 11]-NRT-code) [i]
29Linear OOA(8127, 6642, F81, 4, 10) (dual of [(6642, 4), 26541, 11]-NRT-code) [i]
30Linear OOA(8160, large, F81, 4, 10) [i]
31Linear OOA(8160, large, F81, 4, 10) [i]
32Linear OOA(8160, large, F81, 4, 10) [i]
33Linear OOA(8160, large, F81, 4, 10) [i]
34Linear OOA(8160, large, F81, 4, 10) [i]
35Linear OOA(8123, 6642, F81, 4, 9) (dual of [(6642, 4), 26545, 10]-NRT-code) [i]
36Linear OOA(8123, 6642, F81, 4, 9) (dual of [(6642, 4), 26545, 10]-NRT-code) [i]
37Linear OOA(8123, 6642, F81, 4, 9) (dual of [(6642, 4), 26545, 10]-NRT-code) [i]
38Linear OOA(8123, 6642, F81, 4, 9) (dual of [(6642, 4), 26545, 10]-NRT-code) [i]
39Linear OOA(8123, 6642, F81, 4, 9) (dual of [(6642, 4), 26545, 10]-NRT-code) [i]
40Linear OOA(8124, 6660, F81, 4, 9) (dual of [(6660, 4), 26616, 10]-NRT-code) [i]
41Linear OOA(8124, 6660, F81, 4, 9) (dual of [(6660, 4), 26616, 10]-NRT-code) [i]
42Linear OOA(8124, 6660, F81, 4, 9) (dual of [(6660, 4), 26616, 10]-NRT-code) [i]
43Linear OOA(8124, 6660, F81, 4, 9) (dual of [(6660, 4), 26616, 10]-NRT-code) [i]
44Linear OOA(8124, 6660, F81, 4, 9) (dual of [(6660, 4), 26616, 10]-NRT-code) [i]
45Linear OOA(8150, large, F81, 4, 9) [i]
46Linear OOA(8150, large, F81, 4, 9) [i]
47Linear OOA(8150, large, F81, 4, 9) [i]
48Linear OOA(8150, large, F81, 4, 9) [i]
49Linear OOA(8150, large, F81, 4, 9) [i]
50Linear OOA(8120, 6642, F81, 4, 8) (dual of [(6642, 4), 26548, 9]-NRT-code) [i]
51Linear OOA(8120, 6642, F81, 4, 8) (dual of [(6642, 4), 26548, 9]-NRT-code) [i]
52Linear OOA(8120, 6642, F81, 4, 8) (dual of [(6642, 4), 26548, 9]-NRT-code) [i]
53Linear OOA(8120, 6642, F81, 4, 8) (dual of [(6642, 4), 26548, 9]-NRT-code) [i]
54Linear OOA(8121, 6660, F81, 4, 8) (dual of [(6660, 4), 26619, 9]-NRT-code) [i]
55Linear OOA(8121, 6660, F81, 4, 8) (dual of [(6660, 4), 26619, 9]-NRT-code) [i]
56Linear OOA(8121, 6660, F81, 4, 8) (dual of [(6660, 4), 26619, 9]-NRT-code) [i]
57Linear OOA(8121, 6660, F81, 4, 8) (dual of [(6660, 4), 26619, 9]-NRT-code) [i]
58Linear OOA(8144, large, F81, 4, 8) [i]
59Linear OOA(8144, large, F81, 4, 8) [i]
60Linear OOA(8144, large, F81, 4, 8) [i]
61Linear OOA(8144, large, F81, 4, 8) [i]
62Linear OOA(8116, 6642, F81, 4, 7) (dual of [(6642, 4), 26552, 8]-NRT-code) [i]
63Linear OOA(8116, 6642, F81, 4, 7) (dual of [(6642, 4), 26552, 8]-NRT-code) [i]
64Linear OOA(8116, 6642, F81, 4, 7) (dual of [(6642, 4), 26552, 8]-NRT-code) [i]
65Linear OOA(8116, 6642, F81, 4, 7) (dual of [(6642, 4), 26552, 8]-NRT-code) [i]
66Linear OOA(8117, 6660, F81, 4, 7) (dual of [(6660, 4), 26623, 8]-NRT-code) [i]
67Linear OOA(8117, 6660, F81, 4, 7) (dual of [(6660, 4), 26623, 8]-NRT-code) [i]
68Linear OOA(8117, 6660, F81, 4, 7) (dual of [(6660, 4), 26623, 8]-NRT-code) [i]
69Linear OOA(8117, 6660, F81, 4, 7) (dual of [(6660, 4), 26623, 8]-NRT-code) [i]
70Linear OOA(8118, 6678, F81, 4, 7) (dual of [(6678, 4), 26694, 8]-NRT-code) [i]
71Linear OOA(8118, 6678, F81, 4, 7) (dual of [(6678, 4), 26694, 8]-NRT-code) [i]
72Linear OOA(8118, 6678, F81, 4, 7) (dual of [(6678, 4), 26694, 8]-NRT-code) [i]
73Linear OOA(8118, 6678, F81, 4, 7) (dual of [(6678, 4), 26694, 8]-NRT-code) [i]
74Linear OOA(8133, large, F81, 4, 7) [i]
75Linear OOA(8133, large, F81, 4, 7) [i]
76Linear OOA(8133, large, F81, 4, 7) [i]
77Linear OOA(8133, large, F81, 4, 7) [i]
78Linear OOA(8114, 6642, F81, 4, 6) (dual of [(6642, 4), 26554, 7]-NRT-code) [i]
79Linear OOA(8114, 6642, F81, 4, 6) (dual of [(6642, 4), 26554, 7]-NRT-code) [i]
80Linear OOA(8114, 6642, F81, 4, 6) (dual of [(6642, 4), 26554, 7]-NRT-code) [i]
81Linear OOA(8115, 6660, F81, 4, 6) (dual of [(6660, 4), 26625, 7]-NRT-code) [i]
82Linear OOA(8115, 6660, F81, 4, 6) (dual of [(6660, 4), 26625, 7]-NRT-code) [i]
83Linear OOA(8115, 6660, F81, 4, 6) (dual of [(6660, 4), 26625, 7]-NRT-code) [i]
84Linear OOA(8129, large, F81, 4, 6) [i]
85Linear OOA(8129, large, F81, 4, 6) [i]
86Linear OOA(8129, large, F81, 4, 6) [i]
87Linear OOA(8110, 6642, F81, 4, 5) (dual of [(6642, 4), 26558, 6]-NRT-code) [i]
88Linear OOA(8110, 6642, F81, 4, 5) (dual of [(6642, 4), 26558, 6]-NRT-code) [i]
89Linear OOA(8110, 6642, F81, 4, 5) (dual of [(6642, 4), 26558, 6]-NRT-code) [i]
90Linear OOA(8115, 269082, F81, 4, 5) (dual of [(269082, 4), 1076313, 6]-NRT-code) [i]
91Linear OOA(8115, 269082, F81, 4, 5) (dual of [(269082, 4), 1076313, 6]-NRT-code) [i]
92Linear OOA(8115, 269082, F81, 4, 5) (dual of [(269082, 4), 1076313, 6]-NRT-code) [i]
93Linear OOA(8116, 538002, F81, 4, 5) (dual of [(538002, 4), 2151992, 6]-NRT-code) [i]
94Linear OOA(8116, 538002, F81, 4, 5) (dual of [(538002, 4), 2151992, 6]-NRT-code) [i]
95Linear OOA(8116, 538002, F81, 4, 5) (dual of [(538002, 4), 2151992, 6]-NRT-code) [i]
96Linear OOA(8120, large, F81, 4, 5) [i]
97Linear OOA(8120, large, F81, 4, 5) [i]
98Linear OOA(8120, large, F81, 4, 5) [i]