Information on Result #1050236

Linear OOA(28, 3, F2, 4, 8) (dual of [(3, 4), 4, 9]-NRT-code), using extended Reed–Solomon NRT-code RSe(4;4,2)

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 OOA(256, 15, F2, 4, 44) (dual of [(15, 4), 4, 45]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(268, 18, F2, 4, 53) (dual of [(18, 4), 4, 54]-NRT-code) [i]
3Linear OOA(280, 21, F2, 4, 62) (dual of [(21, 4), 4, 63]-NRT-code) [i]
4Linear OOA(292, 24, F2, 4, 71) (dual of [(24, 4), 4, 72]-NRT-code) [i]
5Linear OOA(2104, 27, F2, 4, 80) (dual of [(27, 4), 4, 81]-NRT-code) [i]
6Linear OOA(2116, 30, F2, 4, 89) (dual of [(30, 4), 4, 90]-NRT-code) [i]
7Linear OOA(2128, 33, F2, 4, 98) (dual of [(33, 4), 4, 99]-NRT-code) [i]
8Linear OOA(2140, 36, F2, 4, 107) (dual of [(36, 4), 4, 108]-NRT-code) [i]
9Linear OOA(2152, 39, F2, 4, 116) (dual of [(39, 4), 4, 117]-NRT-code) [i]
10Linear OOA(2164, 42, F2, 4, 125) (dual of [(42, 4), 4, 126]-NRT-code) [i]
11Linear OOA(2176, 45, F2, 4, 134) (dual of [(45, 4), 4, 135]-NRT-code) [i]
12Linear OOA(2188, 48, F2, 4, 143) (dual of [(48, 4), 4, 144]-NRT-code) [i]
13Linear OOA(2200, 51, F2, 4, 152) (dual of [(51, 4), 4, 153]-NRT-code) [i]
14Linear OOA(2212, 54, F2, 4, 161) (dual of [(54, 4), 4, 162]-NRT-code) [i]
15Linear OOA(2224, 57, F2, 4, 170) (dual of [(57, 4), 4, 171]-NRT-code) [i]
16Linear OOA(2236, 60, F2, 4, 179) (dual of [(60, 4), 4, 180]-NRT-code) [i]
17Linear OOA(2248, 63, F2, 4, 188) (dual of [(63, 4), 4, 189]-NRT-code) [i]
18Linear OOA(2260, 66, F2, 4, 197) (dual of [(66, 4), 4, 198]-NRT-code) [i]
19Linear OOA(2192, 2097153, F2, 4, 16) (dual of [(2097153, 4), 8388420, 17]-NRT-code) [i](u, u+v)-Construction for OOAs
20Linear OOA(2193, 2097153, F2, 4, 17) (dual of [(2097153, 4), 8388419, 18]-NRT-code) [i]
21Linear OOA(2128, 36, F2, 4, 80) (dual of [(36, 4), 16, 81]-NRT-code) [i]Concatenation of Two NRT-Codes
22Linear OOA(2140, 39, F2, 4, 89) (dual of [(39, 4), 16, 90]-NRT-code) [i]
23Linear OOA(2132, 36, F2, 4, 89) (dual of [(36, 4), 12, 90]-NRT-code) [i]
24Linear OOA(2124, 33, F2, 4, 89) (dual of [(33, 4), 8, 90]-NRT-code) [i]
25Linear OOA(2160, 45, F2, 4, 98) (dual of [(45, 4), 20, 99]-NRT-code) [i]
26Linear OOA(2144, 39, F2, 4, 98) (dual of [(39, 4), 12, 99]-NRT-code) [i]
27Linear OOA(2136, 36, F2, 4, 98) (dual of [(36, 4), 8, 99]-NRT-code) [i]
28Linear OOA(2180, 51, F2, 4, 107) (dual of [(51, 4), 24, 108]-NRT-code) [i]
29Linear OOA(2172, 48, F2, 4, 107) (dual of [(48, 4), 20, 108]-NRT-code) [i]
30Linear OOA(2164, 45, F2, 4, 107) (dual of [(45, 4), 16, 108]-NRT-code) [i]
31Linear OOA(2156, 42, F2, 4, 107) (dual of [(42, 4), 12, 108]-NRT-code) [i]
32Linear OOA(2148, 39, F2, 4, 107) (dual of [(39, 4), 8, 108]-NRT-code) [i]
33Linear OOA(2196, 57, F2, 4, 98) (dual of [(57, 4), 32, 99]-NRT-code) [i]
34Linear OOA(2184, 51, F2, 4, 116) (dual of [(51, 4), 20, 117]-NRT-code) [i]
35Linear OOA(2176, 48, F2, 4, 116) (dual of [(48, 4), 16, 117]-NRT-code) [i]
36Linear OOA(2168, 45, F2, 4, 116) (dual of [(45, 4), 12, 117]-NRT-code) [i]
37Linear OOA(2160, 42, F2, 4, 116) (dual of [(42, 4), 8, 117]-NRT-code) [i]
38Linear OOA(2232, 69, F2, 4, 107) (dual of [(69, 4), 44, 108]-NRT-code) [i]
39Linear OOA(2216, 63, F2, 4, 107) (dual of [(63, 4), 36, 108]-NRT-code) [i]
40Linear OOA(2208, 60, F2, 4, 107) (dual of [(60, 4), 32, 108]-NRT-code) [i]
41Linear OOA(2200, 57, F2, 4, 107) (dual of [(57, 4), 28, 108]-NRT-code) [i]
42Linear OOA(2188, 51, F2, 4, 125) (dual of [(51, 4), 16, 126]-NRT-code) [i]
43Linear OOA(2180, 48, F2, 4, 125) (dual of [(48, 4), 12, 126]-NRT-code) [i]
44Linear OOA(2172, 45, F2, 4, 125) (dual of [(45, 4), 8, 126]-NRT-code) [i]
45Linear OOA(2244, 72, F2, 4, 116) (dual of [(72, 4), 44, 117]-NRT-code) [i]
46Linear OOA(2236, 69, F2, 4, 116) (dual of [(69, 4), 40, 117]-NRT-code) [i]
47Linear OOA(2220, 63, F2, 4, 116) (dual of [(63, 4), 32, 117]-NRT-code) [i]
48Linear OOA(2212, 60, F2, 4, 116) (dual of [(60, 4), 28, 117]-NRT-code) [i]
49Linear OOA(2204, 57, F2, 4, 116) (dual of [(57, 4), 24, 117]-NRT-code) [i]
50Linear OOA(2192, 51, F2, 4, 134) (dual of [(51, 4), 12, 135]-NRT-code) [i]
51Linear OOA(2184, 48, F2, 4, 134) (dual of [(48, 4), 8, 135]-NRT-code) [i]
52Linear OOA(2248, 72, F2, 4, 125) (dual of [(72, 4), 40, 126]-NRT-code) [i]
53Linear OOA(2240, 69, F2, 4, 125) (dual of [(69, 4), 36, 126]-NRT-code) [i]
54Linear OOA(2224, 63, F2, 4, 125) (dual of [(63, 4), 28, 126]-NRT-code) [i]
55Linear OOA(2216, 60, F2, 4, 125) (dual of [(60, 4), 24, 126]-NRT-code) [i]
56Linear OOA(2208, 57, F2, 4, 125) (dual of [(57, 4), 20, 126]-NRT-code) [i]
57Linear OOA(2204, 54, F2, 4, 143) (dual of [(54, 4), 12, 144]-NRT-code) [i]
58Linear OOA(2196, 51, F2, 4, 143) (dual of [(51, 4), 8, 144]-NRT-code) [i]
59Linear OOA(2252, 72, F2, 4, 134) (dual of [(72, 4), 36, 135]-NRT-code) [i]
60Linear OOA(2244, 69, F2, 4, 134) (dual of [(69, 4), 32, 135]-NRT-code) [i]
61Linear OOA(2236, 66, F2, 4, 134) (dual of [(66, 4), 28, 135]-NRT-code) [i]
62Linear OOA(2228, 63, F2, 4, 134) (dual of [(63, 4), 24, 135]-NRT-code) [i]
63Linear OOA(2220, 60, F2, 4, 134) (dual of [(60, 4), 20, 135]-NRT-code) [i]
64Linear OOA(2212, 57, F2, 4, 134) (dual of [(57, 4), 16, 135]-NRT-code) [i]
65Linear OOA(2256, 72, F2, 4, 143) (dual of [(72, 4), 32, 144]-NRT-code) [i]
66Linear OOA(2248, 69, F2, 4, 143) (dual of [(69, 4), 28, 144]-NRT-code) [i]
67Linear OOA(2240, 66, F2, 4, 143) (dual of [(66, 4), 24, 144]-NRT-code) [i]
68Linear OOA(2232, 63, F2, 4, 143) (dual of [(63, 4), 20, 144]-NRT-code) [i]
69Linear OOA(2224, 60, F2, 4, 143) (dual of [(60, 4), 16, 144]-NRT-code) [i]
70Linear OOA(2260, 72, F2, 4, 152) (dual of [(72, 4), 28, 153]-NRT-code) [i]
71Linear OOA(2252, 69, F2, 4, 152) (dual of [(69, 4), 24, 153]-NRT-code) [i]
72Linear OOA(2244, 66, F2, 4, 152) (dual of [(66, 4), 20, 153]-NRT-code) [i]
73Linear OOA(2236, 63, F2, 4, 152) (dual of [(63, 4), 16, 153]-NRT-code) [i]
74Linear OOA(2228, 60, F2, 4, 152) (dual of [(60, 4), 12, 153]-NRT-code) [i]
75Linear OOA(2256, 69, F2, 4, 161) (dual of [(69, 4), 20, 162]-NRT-code) [i]
76Linear OOA(2248, 66, F2, 4, 161) (dual of [(66, 4), 16, 162]-NRT-code) [i]
77Linear OOA(2240, 63, F2, 4, 161) (dual of [(63, 4), 12, 162]-NRT-code) [i]
78Linear OOA(2260, 69, F2, 4, 170) (dual of [(69, 4), 16, 171]-NRT-code) [i]
79Linear OOA(2252, 66, F2, 4, 170) (dual of [(66, 4), 12, 171]-NRT-code) [i]
80Linear OOA(2244, 63, F2, 4, 170) (dual of [(63, 4), 8, 171]-NRT-code) [i]