Information on Result #1050235

Linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using extended Reed–Solomon NRT-code RSe(4;5,2)

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(291, 24, F2, 4, 63) (dual of [(24, 4), 5, 64]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(2103, 27, F2, 4, 71) (dual of [(27, 4), 5, 72]-NRT-code) [i]
3Linear OOA(2115, 30, F2, 4, 79) (dual of [(30, 4), 5, 80]-NRT-code) [i]
4Linear OOA(2139, 36, F2, 4, 95) (dual of [(36, 4), 5, 96]-NRT-code) [i]
5Linear OOA(2151, 39, F2, 4, 103) (dual of [(39, 4), 5, 104]-NRT-code) [i]
6Linear OOA(2163, 42, F2, 4, 111) (dual of [(42, 4), 5, 112]-NRT-code) [i]
7Linear OOA(2175, 45, F2, 4, 119) (dual of [(45, 4), 5, 120]-NRT-code) [i]
8Linear OOA(2187, 48, F2, 4, 127) (dual of [(48, 4), 5, 128]-NRT-code) [i]
9Linear OOA(2199, 51, F2, 4, 135) (dual of [(51, 4), 5, 136]-NRT-code) [i]
10Linear OOA(2211, 54, F2, 4, 143) (dual of [(54, 4), 5, 144]-NRT-code) [i]
11Linear OOA(2223, 57, F2, 4, 151) (dual of [(57, 4), 5, 152]-NRT-code) [i]
12Linear OOA(2235, 60, F2, 4, 159) (dual of [(60, 4), 5, 160]-NRT-code) [i]
13Linear OOA(2247, 63, F2, 4, 167) (dual of [(63, 4), 5, 168]-NRT-code) [i]
14Linear OOA(2259, 66, F2, 4, 175) (dual of [(66, 4), 5, 176]-NRT-code) [i]
15Linear OOA(2168, 2097153, F2, 4, 14) (dual of [(2097153, 4), 8388444, 15]-NRT-code) [i](u, u+v)-Construction for OOAs
16Linear OOA(2169, 2097153, F2, 4, 15) (dual of [(2097153, 4), 8388443, 16]-NRT-code) [i]
17Linear OOA(2178, 57, F2, 4, 79) (dual of [(57, 4), 50, 80]-NRT-code) [i]Concatenation of Two NRT-Codes
18Linear OOA(2211, 69, F2, 4, 87) (dual of [(69, 4), 65, 88]-NRT-code) [i]
19Linear OOA(2197, 63, F2, 4, 87) (dual of [(63, 4), 55, 88]-NRT-code) [i]
20Linear OOA(2190, 60, F2, 4, 87) (dual of [(60, 4), 50, 88]-NRT-code) [i]
21Linear OOA(2183, 57, F2, 4, 87) (dual of [(57, 4), 45, 88]-NRT-code) [i]
22Linear OOA(2176, 54, F2, 4, 87) (dual of [(54, 4), 40, 88]-NRT-code) [i]
23Linear OOA(2230, 75, F2, 4, 95) (dual of [(75, 4), 70, 96]-NRT-code) [i]
24Linear OOA(2223, 72, F2, 4, 95) (dual of [(72, 4), 65, 96]-NRT-code) [i]
25Linear OOA(2216, 69, F2, 4, 95) (dual of [(69, 4), 60, 96]-NRT-code) [i]
26Linear OOA(2209, 66, F2, 4, 95) (dual of [(66, 4), 55, 96]-NRT-code) [i]
27Linear OOA(2202, 63, F2, 4, 95) (dual of [(63, 4), 50, 96]-NRT-code) [i]
28Linear OOA(2195, 60, F2, 4, 95) (dual of [(60, 4), 45, 96]-NRT-code) [i]
29Linear OOA(2188, 57, F2, 4, 95) (dual of [(57, 4), 40, 96]-NRT-code) [i]
30Linear OOA(2181, 54, F2, 4, 95) (dual of [(54, 4), 35, 96]-NRT-code) [i]
31Linear OOA(2249, 81, F2, 4, 103) (dual of [(81, 4), 75, 104]-NRT-code) [i]
32Linear OOA(2242, 78, F2, 4, 103) (dual of [(78, 4), 70, 104]-NRT-code) [i]
33Linear OOA(2235, 75, F2, 4, 103) (dual of [(75, 4), 65, 104]-NRT-code) [i]
34Linear OOA(2228, 72, F2, 4, 103) (dual of [(72, 4), 60, 104]-NRT-code) [i]
35Linear OOA(2221, 69, F2, 4, 103) (dual of [(69, 4), 55, 104]-NRT-code) [i]
36Linear OOA(2214, 66, F2, 4, 103) (dual of [(66, 4), 50, 104]-NRT-code) [i]
37Linear OOA(2207, 63, F2, 4, 103) (dual of [(63, 4), 45, 104]-NRT-code) [i]
38Linear OOA(2200, 60, F2, 4, 103) (dual of [(60, 4), 40, 104]-NRT-code) [i]
39Linear OOA(2193, 57, F2, 4, 103) (dual of [(57, 4), 35, 104]-NRT-code) [i]
40Linear OOA(2186, 54, F2, 4, 103) (dual of [(54, 4), 30, 104]-NRT-code) [i]
41Linear OOA(2179, 51, F2, 4, 103) (dual of [(51, 4), 25, 104]-NRT-code) [i]
42Linear OOA(2254, 81, F2, 4, 111) (dual of [(81, 4), 70, 112]-NRT-code) [i]
43Linear OOA(2247, 78, F2, 4, 111) (dual of [(78, 4), 65, 112]-NRT-code) [i]
44Linear OOA(2240, 75, F2, 4, 111) (dual of [(75, 4), 60, 112]-NRT-code) [i]
45Linear OOA(2233, 72, F2, 4, 111) (dual of [(72, 4), 55, 112]-NRT-code) [i]
46Linear OOA(2226, 69, F2, 4, 111) (dual of [(69, 4), 50, 112]-NRT-code) [i]
47Linear OOA(2219, 66, F2, 4, 111) (dual of [(66, 4), 45, 112]-NRT-code) [i]
48Linear OOA(2212, 63, F2, 4, 111) (dual of [(63, 4), 40, 112]-NRT-code) [i]
49Linear OOA(2205, 60, F2, 4, 111) (dual of [(60, 4), 35, 112]-NRT-code) [i]
50Linear OOA(2198, 57, F2, 4, 111) (dual of [(57, 4), 30, 112]-NRT-code) [i]
51Linear OOA(2191, 54, F2, 4, 111) (dual of [(54, 4), 25, 112]-NRT-code) [i]
52Linear OOA(2259, 81, F2, 4, 119) (dual of [(81, 4), 65, 120]-NRT-code) [i]
53Linear OOA(2252, 78, F2, 4, 119) (dual of [(78, 4), 60, 120]-NRT-code) [i]
54Linear OOA(2245, 75, F2, 4, 119) (dual of [(75, 4), 55, 120]-NRT-code) [i]
55Linear OOA(2238, 72, F2, 4, 119) (dual of [(72, 4), 50, 120]-NRT-code) [i]
56Linear OOA(2231, 69, F2, 4, 119) (dual of [(69, 4), 45, 120]-NRT-code) [i]
57Linear OOA(2224, 66, F2, 4, 119) (dual of [(66, 4), 40, 120]-NRT-code) [i]
58Linear OOA(2217, 63, F2, 4, 119) (dual of [(63, 4), 35, 120]-NRT-code) [i]
59Linear OOA(2210, 60, F2, 4, 119) (dual of [(60, 4), 30, 120]-NRT-code) [i]
60Linear OOA(2203, 57, F2, 4, 119) (dual of [(57, 4), 25, 120]-NRT-code) [i]
61Linear OOA(2196, 54, F2, 4, 119) (dual of [(54, 4), 20, 120]-NRT-code) [i]
62Linear OOA(2257, 78, F2, 4, 127) (dual of [(78, 4), 55, 128]-NRT-code) [i]
63Linear OOA(2250, 75, F2, 4, 127) (dual of [(75, 4), 50, 128]-NRT-code) [i]
64Linear OOA(2243, 72, F2, 4, 127) (dual of [(72, 4), 45, 128]-NRT-code) [i]
65Linear OOA(2236, 69, F2, 4, 127) (dual of [(69, 4), 40, 128]-NRT-code) [i]
66Linear OOA(2229, 66, F2, 4, 127) (dual of [(66, 4), 35, 128]-NRT-code) [i]
67Linear OOA(2222, 63, F2, 4, 127) (dual of [(63, 4), 30, 128]-NRT-code) [i]
68Linear OOA(2215, 60, F2, 4, 127) (dual of [(60, 4), 25, 128]-NRT-code) [i]
69Linear OOA(2208, 57, F2, 4, 127) (dual of [(57, 4), 20, 128]-NRT-code) [i]
70Linear OOA(2255, 75, F2, 4, 135) (dual of [(75, 4), 45, 136]-NRT-code) [i]
71Linear OOA(2248, 72, F2, 4, 135) (dual of [(72, 4), 40, 136]-NRT-code) [i]
72Linear OOA(2241, 69, F2, 4, 135) (dual of [(69, 4), 35, 136]-NRT-code) [i]
73Linear OOA(2234, 66, F2, 4, 135) (dual of [(66, 4), 30, 136]-NRT-code) [i]
74Linear OOA(2227, 63, F2, 4, 135) (dual of [(63, 4), 25, 136]-NRT-code) [i]
75Linear OOA(2220, 60, F2, 4, 135) (dual of [(60, 4), 20, 136]-NRT-code) [i]
76Linear OOA(2213, 57, F2, 4, 135) (dual of [(57, 4), 15, 136]-NRT-code) [i]
77Linear OOA(2260, 75, F2, 4, 143) (dual of [(75, 4), 40, 144]-NRT-code) [i]
78Linear OOA(2253, 72, F2, 4, 143) (dual of [(72, 4), 35, 144]-NRT-code) [i]
79Linear OOA(2246, 69, F2, 4, 143) (dual of [(69, 4), 30, 144]-NRT-code) [i]
80Linear OOA(2239, 66, F2, 4, 143) (dual of [(66, 4), 25, 144]-NRT-code) [i]
81Linear OOA(2258, 72, F2, 4, 151) (dual of [(72, 4), 30, 152]-NRT-code) [i]
82Linear OOA(2251, 69, F2, 4, 151) (dual of [(69, 4), 25, 152]-NRT-code) [i]