Information on Result #1898763

Linear OOA(51sF5, 3, 1) for arbitrarily large s, using appending 2 arbitrary columns based on linear OA(51sF5, 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(5112, 5593089, F5, 3, 9) (dual of [(5593089, 3), 16779155, 10]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
2Linear OOA(599, 5592495, F5, 3, 8) (dual of [(5592495, 3), 16777386, 9]-NRT-code) [i]
3Linear OOA(599, 5592570, F5, 3, 8) (dual of [(5592570, 3), 16777611, 9]-NRT-code) [i]
4Linear OOA(5100, 5592620, F5, 3, 8) (dual of [(5592620, 3), 16777760, 9]-NRT-code) [i]
5Linear OOA(5101, 5592870, F5, 3, 8) (dual of [(5592870, 3), 16778509, 9]-NRT-code) [i]
6Linear OOA(5100, 5593195, F5, 3, 8) (dual of [(5593195, 3), 16779485, 9]-NRT-code) [i]
7Linear OOA(5101, 5593245, F5, 3, 8) (dual of [(5593245, 3), 16779634, 9]-NRT-code) [i]
8Linear OOA(5102, 5593495, F5, 3, 8) (dual of [(5593495, 3), 16780383, 9]-NRT-code) [i]
9Linear OOA(5101, 5596320, F5, 3, 8) (dual of [(5596320, 3), 16788859, 9]-NRT-code) [i]
10Linear OOA(5102, 5596370, F5, 3, 8) (dual of [(5596370, 3), 16789008, 9]-NRT-code) [i]
11Linear OOA(5102, 5611945, F5, 3, 8) (dual of [(5611945, 3), 16835733, 9]-NRT-code) [i]
12Linear OOA(519, 125, F5, 3, 7) (dual of [(125, 3), 356, 8]-NRT-code) [i]
13Linear OOA(519, 125, F5, 3, 7) (dual of [(125, 3), 356, 8]-NRT-code) [i]
14Linear OOA(577, 7289001, F5, 3, 7) (dual of [(7289001, 3), 21866926, 8]-NRT-code) [i]
15Linear OOA(577, 7289001, F5, 3, 7) (dual of [(7289001, 3), 21866926, 8]-NRT-code) [i]
16Linear OOA(572, 5592870, F5, 3, 7) (dual of [(5592870, 3), 16778538, 8]-NRT-code) [i]
17Linear OOA(572, 5592870, F5, 3, 7) (dual of [(5592870, 3), 16778538, 8]-NRT-code) [i]
18Linear OOA(573, 5594745, F5, 3, 7) (dual of [(5594745, 3), 16784162, 8]-NRT-code) [i]
19Linear OOA(573, 5594745, F5, 3, 7) (dual of [(5594745, 3), 16784162, 8]-NRT-code) [i]
20Linear OOA(574, 5604120, F5, 3, 7) (dual of [(5604120, 3), 16812286, 8]-NRT-code) [i]
21Linear OOA(574, 5604120, F5, 3, 7) (dual of [(5604120, 3), 16812286, 8]-NRT-code) [i]
22Linear OOA(575, 5650995, F5, 3, 7) (dual of [(5650995, 3), 16952910, 8]-NRT-code) [i]
23Linear OOA(575, 5650995, F5, 3, 7) (dual of [(5650995, 3), 16952910, 8]-NRT-code) [i]
24Linear OOA(576, 5885370, F5, 3, 7) (dual of [(5885370, 3), 17656034, 8]-NRT-code) [i]
25Linear OOA(576, 5885370, F5, 3, 7) (dual of [(5885370, 3), 17656034, 8]-NRT-code) [i]
26Linear OOA(578, large, F5, 3, 7) [i]
27Linear OOA(578, large, F5, 3, 7) [i]
28Linear OOA(567, 7289001, F5, 3, 6) (dual of [(7289001, 3), 21866936, 7]-NRT-code) [i]
29Linear OOA(567, 7289001, F5, 3, 6) (dual of [(7289001, 3), 21866936, 7]-NRT-code) [i]
30Linear OOA(562, 5592870, F5, 3, 6) (dual of [(5592870, 3), 16778548, 7]-NRT-code) [i]
31Linear OOA(562, 5592870, F5, 3, 6) (dual of [(5592870, 3), 16778548, 7]-NRT-code) [i]
32Linear OOA(563, 5594745, F5, 3, 6) (dual of [(5594745, 3), 16784172, 7]-NRT-code) [i]
33Linear OOA(563, 5594745, F5, 3, 6) (dual of [(5594745, 3), 16784172, 7]-NRT-code) [i]
34Linear OOA(564, 5604120, F5, 3, 6) (dual of [(5604120, 3), 16812296, 7]-NRT-code) [i]
35Linear OOA(564, 5604120, F5, 3, 6) (dual of [(5604120, 3), 16812296, 7]-NRT-code) [i]
36Linear OOA(565, 5650995, F5, 3, 6) (dual of [(5650995, 3), 16952920, 7]-NRT-code) [i]
37Linear OOA(565, 5650995, F5, 3, 6) (dual of [(5650995, 3), 16952920, 7]-NRT-code) [i]
38Linear OOA(566, 5885370, F5, 3, 6) (dual of [(5885370, 3), 17656044, 7]-NRT-code) [i]
39Linear OOA(566, 5885370, F5, 3, 6) (dual of [(5885370, 3), 17656044, 7]-NRT-code) [i]
40Linear OOA(568, large, F5, 3, 6) [i]
41Linear OOA(568, large, F5, 3, 6) [i]
42Linear OOA(517, 62, F5, 3, 7) (dual of [(62, 3), 169, 8]-NRT-code) [i]
43Linear OOA(518, 100, F5, 3, 7) (dual of [(100, 3), 282, 8]-NRT-code) [i]
44Linear OOA(576, 6165801, F5, 3, 7) (dual of [(6165801, 3), 18497327, 8]-NRT-code) [i]
45Linear OOA(570, 5592464, F5, 3, 7) (dual of [(5592464, 3), 16777322, 8]-NRT-code) [i]
46Linear OOA(571, 5592714, F5, 3, 7) (dual of [(5592714, 3), 16778071, 8]-NRT-code) [i]
47Linear OOA(572, 5593964, F5, 3, 7) (dual of [(5593964, 3), 16781820, 8]-NRT-code) [i]
48Linear OOA(573, 5600214, F5, 3, 7) (dual of [(5600214, 3), 16800569, 8]-NRT-code) [i]
49Linear OOA(574, 5631464, F5, 3, 7) (dual of [(5631464, 3), 16894318, 8]-NRT-code) [i]
50Linear OOA(575, 5787714, F5, 3, 7) (dual of [(5787714, 3), 17363067, 8]-NRT-code) [i]
51Linear OOA(576, 6568964, F5, 3, 7) (dual of [(6568964, 3), 19706816, 8]-NRT-code) [i]
52Linear OOA(577, large, F5, 3, 7) [i]
53Linear OOA(566, 6165801, F5, 3, 6) (dual of [(6165801, 3), 18497337, 7]-NRT-code) [i]
54Linear OOA(560, 5592464, F5, 3, 6) (dual of [(5592464, 3), 16777332, 7]-NRT-code) [i]
55Linear OOA(561, 5592714, F5, 3, 6) (dual of [(5592714, 3), 16778081, 7]-NRT-code) [i]
56Linear OOA(562, 5593964, F5, 3, 6) (dual of [(5593964, 3), 16781830, 7]-NRT-code) [i]
57Linear OOA(563, 5600214, F5, 3, 6) (dual of [(5600214, 3), 16800579, 7]-NRT-code) [i]
58Linear OOA(564, 5631464, F5, 3, 6) (dual of [(5631464, 3), 16894328, 7]-NRT-code) [i]
59Linear OOA(565, 5787714, F5, 3, 6) (dual of [(5787714, 3), 17363077, 7]-NRT-code) [i]
60Linear OOA(566, 6568964, F5, 3, 6) (dual of [(6568964, 3), 19706826, 7]-NRT-code) [i]
61Linear OOA(567, large, F5, 3, 6) [i]
62Linear OOA(512, 95, F5, 3, 5) (dual of [(95, 3), 273, 6]-NRT-code) [i]