Information on Result #1900294

Linear OOA(491sF49, 3, 1) for arbitrarily large s, using appending 2 arbitrary columns based on linear OA(491sF49, 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(4929, 2450, F49, 3, 11) (dual of [(2450, 3), 7321, 12]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
2Linear OOA(4929, 2450, F49, 3, 11) (dual of [(2450, 3), 7321, 12]-NRT-code) [i]
3Linear OOA(4929, 2450, F49, 3, 11) (dual of [(2450, 3), 7321, 12]-NRT-code) [i]
4Linear OOA(4929, 2450, F49, 3, 11) (dual of [(2450, 3), 7321, 12]-NRT-code) [i]
5Linear OOA(4929, 2450, F49, 3, 11) (dual of [(2450, 3), 7321, 12]-NRT-code) [i]
6Linear OOA(4929, 2450, F49, 3, 11) (dual of [(2450, 3), 7321, 12]-NRT-code) [i]
7Linear OOA(4923, 2450, F49, 3, 9) (dual of [(2450, 3), 7327, 10]-NRT-code) [i]
8Linear OOA(4923, 2450, F49, 3, 9) (dual of [(2450, 3), 7327, 10]-NRT-code) [i]
9Linear OOA(4923, 2450, F49, 3, 9) (dual of [(2450, 3), 7327, 10]-NRT-code) [i]
10Linear OOA(4923, 2450, F49, 3, 9) (dual of [(2450, 3), 7327, 10]-NRT-code) [i]
11Linear OOA(4923, 2450, F49, 3, 9) (dual of [(2450, 3), 7327, 10]-NRT-code) [i]
12Linear OOA(4920, 2450, F49, 3, 8) (dual of [(2450, 3), 7330, 9]-NRT-code) [i]
13Linear OOA(4920, 2450, F49, 3, 8) (dual of [(2450, 3), 7330, 9]-NRT-code) [i]
14Linear OOA(4920, 2450, F49, 3, 8) (dual of [(2450, 3), 7330, 9]-NRT-code) [i]
15Linear OOA(4920, 2450, F49, 3, 8) (dual of [(2450, 3), 7330, 9]-NRT-code) [i]
16Linear OOA(4954, large, F49, 3, 8) [i]
17Linear OOA(4954, large, F49, 3, 8) [i]
18Linear OOA(4954, large, F49, 3, 8) [i]
19Linear OOA(4954, large, F49, 3, 8) [i]
20Linear OOA(4953, 5767103, F49, 3, 8) (dual of [(5767103, 3), 17301256, 9]-NRT-code) [i]
21Linear OOA(4953, 5767103, F49, 3, 8) (dual of [(5767103, 3), 17301256, 9]-NRT-code) [i]
22Linear OOA(4953, 5767103, F49, 3, 8) (dual of [(5767103, 3), 17301256, 9]-NRT-code) [i]
23Linear OOA(4953, 5767103, F49, 3, 8) (dual of [(5767103, 3), 17301256, 9]-NRT-code) [i]
24Linear OOA(4916, 2450, F49, 3, 7) (dual of [(2450, 3), 7334, 8]-NRT-code) [i]
25Linear OOA(4916, 2450, F49, 3, 7) (dual of [(2450, 3), 7334, 8]-NRT-code) [i]
26Linear OOA(4916, 2450, F49, 3, 7) (dual of [(2450, 3), 7334, 8]-NRT-code) [i]
27Linear OOA(4916, 2450, F49, 3, 7) (dual of [(2450, 3), 7334, 8]-NRT-code) [i]
28Linear OOA(4917, 2451, F49, 3, 7) (dual of [(2451, 3), 7336, 8]-NRT-code) [i]
29Linear OOA(4917, 2451, F49, 3, 7) (dual of [(2451, 3), 7336, 8]-NRT-code) [i]
30Linear OOA(4917, 2451, F49, 3, 7) (dual of [(2451, 3), 7336, 8]-NRT-code) [i]
31Linear OOA(4917, 2451, F49, 3, 7) (dual of [(2451, 3), 7336, 8]-NRT-code) [i]
32Linear OOA(4918, 2452, F49, 3, 7) (dual of [(2452, 3), 7338, 8]-NRT-code) [i]
33Linear OOA(4918, 2452, F49, 3, 7) (dual of [(2452, 3), 7338, 8]-NRT-code) [i]
34Linear OOA(4918, 2452, F49, 3, 7) (dual of [(2452, 3), 7338, 8]-NRT-code) [i]
35Linear OOA(4918, 2452, F49, 3, 7) (dual of [(2452, 3), 7338, 8]-NRT-code) [i]
36Linear OOA(4939, 7686501, F49, 3, 7) (dual of [(7686501, 3), 23059464, 8]-NRT-code) [i]
37Linear OOA(4939, 7686501, F49, 3, 7) (dual of [(7686501, 3), 23059464, 8]-NRT-code) [i]
38Linear OOA(4939, 7686501, F49, 3, 7) (dual of [(7686501, 3), 23059464, 8]-NRT-code) [i]
39Linear OOA(4939, 7686501, F49, 3, 7) (dual of [(7686501, 3), 23059464, 8]-NRT-code) [i]
40Linear OOA(4940, 7691201, F49, 3, 7) (dual of [(7691201, 3), 23073563, 8]-NRT-code) [i]
41Linear OOA(4940, 7691201, F49, 3, 7) (dual of [(7691201, 3), 23073563, 8]-NRT-code) [i]
42Linear OOA(4940, 7691201, F49, 3, 7) (dual of [(7691201, 3), 23073563, 8]-NRT-code) [i]
43Linear OOA(4940, 7691201, F49, 3, 7) (dual of [(7691201, 3), 23073563, 8]-NRT-code) [i]
44Linear OOA(4940, large, F49, 3, 7) [i]
45Linear OOA(4940, large, F49, 3, 7) [i]
46Linear OOA(4940, large, F49, 3, 7) [i]
47Linear OOA(4940, large, F49, 3, 7) [i]
48Linear OOA(4914, 2450, F49, 3, 6) (dual of [(2450, 3), 7336, 7]-NRT-code) [i]
49Linear OOA(4914, 2450, F49, 3, 6) (dual of [(2450, 3), 7336, 7]-NRT-code) [i]
50Linear OOA(4914, 2450, F49, 3, 6) (dual of [(2450, 3), 7336, 7]-NRT-code) [i]
51Linear OOA(4934, 7686501, F49, 3, 6) (dual of [(7686501, 3), 23059469, 7]-NRT-code) [i]
52Linear OOA(4934, 7686501, F49, 3, 6) (dual of [(7686501, 3), 23059469, 7]-NRT-code) [i]
53Linear OOA(4934, 7686501, F49, 3, 6) (dual of [(7686501, 3), 23059469, 7]-NRT-code) [i]
54Linear OOA(4935, 7691201, F49, 3, 6) (dual of [(7691201, 3), 23073568, 7]-NRT-code) [i]
55Linear OOA(4935, 7691201, F49, 3, 6) (dual of [(7691201, 3), 23073568, 7]-NRT-code) [i]
56Linear OOA(4935, 7691201, F49, 3, 6) (dual of [(7691201, 3), 23073568, 7]-NRT-code) [i]
57Linear OOA(4935, large, F49, 3, 6) [i]
58Linear OOA(4935, large, F49, 3, 6) [i]
59Linear OOA(4935, large, F49, 3, 6) [i]
60Linear OOA(4910, 2450, F49, 3, 5) (dual of [(2450, 3), 7340, 6]-NRT-code) [i]
61Linear OOA(4910, 2450, F49, 3, 5) (dual of [(2450, 3), 7340, 6]-NRT-code) [i]
62Linear OOA(4910, 2450, F49, 3, 5) (dual of [(2450, 3), 7340, 6]-NRT-code) [i]
63Linear OOA(4915, 60074, F49, 3, 5) (dual of [(60074, 3), 180207, 6]-NRT-code) [i]
64Linear OOA(4915, 60074, F49, 3, 5) (dual of [(60074, 3), 180207, 6]-NRT-code) [i]
65Linear OOA(4915, 60074, F49, 3, 5) (dual of [(60074, 3), 180207, 6]-NRT-code) [i]
66Linear OOA(4916, 120050, F49, 3, 5) (dual of [(120050, 3), 360134, 6]-NRT-code) [i]
67Linear OOA(4916, 120050, F49, 3, 5) (dual of [(120050, 3), 360134, 6]-NRT-code) [i]
68Linear OOA(4916, 120050, F49, 3, 5) (dual of [(120050, 3), 360134, 6]-NRT-code) [i]
69Linear OOA(4924, large, F49, 3, 5) [i]
70Linear OOA(4924, large, F49, 3, 5) [i]
71Linear OOA(4924, large, F49, 3, 5) [i]
72Linear OOA(498, 2450, F49, 3, 4) (dual of [(2450, 3), 7342, 5]-NRT-code) [i]
73Linear OOA(498, 2450, F49, 3, 4) (dual of [(2450, 3), 7342, 5]-NRT-code) [i]
74Linear OOA(4919, large, F49, 3, 4) [i]
75Linear OOA(4919, large, F49, 3, 4) [i]
76Linear OOA(4952, 5765003, F49, 3, 8) (dual of [(5765003, 3), 17294957, 9]-NRT-code) [i]
77Linear OOA(4952, 5765003, F49, 3, 8) (dual of [(5765003, 3), 17294957, 9]-NRT-code) [i]
78Linear OOA(4952, 5765003, F49, 3, 8) (dual of [(5765003, 3), 17294957, 9]-NRT-code) [i]
79Linear OOA(4953, 5774607, F49, 3, 8) (dual of [(5774607, 3), 17323768, 9]-NRT-code) [i]
80Linear OOA(4953, 5774607, F49, 3, 8) (dual of [(5774607, 3), 17323768, 9]-NRT-code) [i]
81Linear OOA(4953, 5774607, F49, 3, 8) (dual of [(5774607, 3), 17323768, 9]-NRT-code) [i]
82Linear OOA(4951, 5764953, F49, 3, 8) (dual of [(5764953, 3), 17294808, 9]-NRT-code) [i]
83Linear OOA(4951, 5764953, F49, 3, 8) (dual of [(5764953, 3), 17294808, 9]-NRT-code) [i]
84Linear OOA(4952, 5772156, F49, 3, 8) (dual of [(5772156, 3), 17316416, 9]-NRT-code) [i]
85Linear OOA(4952, 5772156, F49, 3, 8) (dual of [(5772156, 3), 17316416, 9]-NRT-code) [i]
86Linear OOA(4953, 6125103, F49, 3, 8) (dual of [(6125103, 3), 18375256, 9]-NRT-code) [i]
87Linear OOA(4953, 6125103, F49, 3, 8) (dual of [(6125103, 3), 18375256, 9]-NRT-code) [i]
88Linear OOA(4950, 5764903, F49, 3, 8) (dual of [(5764903, 3), 17294659, 9]-NRT-code) [i]
89Linear OOA(4951, 5769705, F49, 3, 8) (dual of [(5769705, 3), 17309064, 9]-NRT-code) [i]
90Linear OOA(4952, 6005003, F49, 3, 8) (dual of [(6005003, 3), 18014957, 9]-NRT-code) [i]
91Linear OOA(4953, large, F49, 3, 8) [i]
92Linear OOA(4939, large, F49, 3, 7) [i]
93Linear OOA(4939, large, F49, 3, 7) [i]
94Linear OOA(4936, 3848104, F49, 3, 7) (dual of [(3848104, 3), 11544276, 8]-NRT-code) [i]
95Linear OOA(4938, 7686404, F49, 3, 7) (dual of [(7686404, 3), 23059174, 8]-NRT-code) [i]
96Linear OOA(4932, 3848104, F49, 3, 6) (dual of [(3848104, 3), 11544280, 7]-NRT-code) [i]
97Linear OOA(4923, large, F49, 3, 5) [i]