Information on Result #880649

Linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,3P) based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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 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(217, 10, F2, 2, 13) (dual of [(10, 2), 3, 14]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(227, 15, F2, 2, 20) (dual of [(15, 2), 3, 21]-NRT-code) [i]
3Linear OOA(237, 20, F2, 2, 27) (dual of [(20, 2), 3, 28]-NRT-code) [i]
4Linear OOA(247, 25, F2, 2, 34) (dual of [(25, 2), 3, 35]-NRT-code) [i]
5Linear OOA(257, 30, F2, 2, 41) (dual of [(30, 2), 3, 42]-NRT-code) [i]
6Linear OOA(267, 35, F2, 2, 48) (dual of [(35, 2), 3, 49]-NRT-code) [i]
7Linear OOA(277, 40, F2, 2, 55) (dual of [(40, 2), 3, 56]-NRT-code) [i]
8Linear OOA(287, 45, F2, 2, 62) (dual of [(45, 2), 3, 63]-NRT-code) [i]
9Linear OOA(297, 50, F2, 2, 69) (dual of [(50, 2), 3, 70]-NRT-code) [i]
10Linear OOA(2107, 55, F2, 2, 76) (dual of [(55, 2), 3, 77]-NRT-code) [i]
11Linear OOA(2117, 60, F2, 2, 83) (dual of [(60, 2), 3, 84]-NRT-code) [i]
12Linear OOA(2127, 65, F2, 2, 90) (dual of [(65, 2), 3, 91]-NRT-code) [i]
13Linear OOA(2137, 70, F2, 2, 97) (dual of [(70, 2), 3, 98]-NRT-code) [i]
14Linear OOA(2147, 75, F2, 2, 104) (dual of [(75, 2), 3, 105]-NRT-code) [i]
15Linear OOA(2157, 80, F2, 2, 111) (dual of [(80, 2), 3, 112]-NRT-code) [i]
16Linear OOA(2167, 85, F2, 2, 118) (dual of [(85, 2), 3, 119]-NRT-code) [i]
17Linear OOA(2177, 90, F2, 2, 125) (dual of [(90, 2), 3, 126]-NRT-code) [i]
18Linear OOA(2187, 95, F2, 2, 132) (dual of [(95, 2), 3, 133]-NRT-code) [i]
19Linear OOA(2197, 100, F2, 2, 139) (dual of [(100, 2), 3, 140]-NRT-code) [i]
20Linear OOA(2207, 105, F2, 2, 146) (dual of [(105, 2), 3, 147]-NRT-code) [i]
21Linear OOA(2217, 110, F2, 2, 153) (dual of [(110, 2), 3, 154]-NRT-code) [i]
22Linear OOA(2227, 115, F2, 2, 160) (dual of [(115, 2), 3, 161]-NRT-code) [i]
23Linear OOA(2237, 120, F2, 2, 167) (dual of [(120, 2), 3, 168]-NRT-code) [i]
24Linear OOA(2247, 125, F2, 2, 174) (dual of [(125, 2), 3, 175]-NRT-code) [i]
25Linear OOA(2257, 130, F2, 2, 181) (dual of [(130, 2), 3, 182]-NRT-code) [i]
26Linear OOA(2145, 4194306, F2, 2, 12) (dual of [(4194306, 2), 8388467, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
27Linear OOA(220, 12, F2, 2, 13) (dual of [(12, 2), 4, 14]-NRT-code) [i]
28Linear OOA(2146, 4194306, F2, 2, 13) (dual of [(4194306, 2), 8388466, 14]-NRT-code) [i]
29Linear OOA(261, 35, F2, 2, 34) (dual of [(35, 2), 9, 35]-NRT-code) [i]Concatenation of Two NRT-Codes
30Linear OOA(254, 30, F2, 2, 34) (dual of [(30, 2), 6, 35]-NRT-code) [i]
31Linear OOA(271, 40, F2, 2, 41) (dual of [(40, 2), 9, 42]-NRT-code) [i]
32Linear OOA(264, 35, F2, 2, 41) (dual of [(35, 2), 6, 42]-NRT-code) [i]
33Linear OOA(281, 45, F2, 2, 48) (dual of [(45, 2), 9, 49]-NRT-code) [i]
34Linear OOA(274, 40, F2, 2, 48) (dual of [(40, 2), 6, 49]-NRT-code) [i]
35Linear OOA(291, 50, F2, 2, 55) (dual of [(50, 2), 9, 56]-NRT-code) [i]
36Linear OOA(284, 45, F2, 2, 55) (dual of [(45, 2), 6, 56]-NRT-code) [i]
37Linear OOA(2118, 65, F2, 2, 62) (dual of [(65, 2), 12, 63]-NRT-code) [i]
38Linear OOA(2128, 70, F2, 2, 69) (dual of [(70, 2), 12, 70]-NRT-code) [i]
39Linear OOA(2138, 75, F2, 2, 76) (dual of [(75, 2), 12, 77]-NRT-code) [i]
40Linear OOA(2131, 70, F2, 2, 76) (dual of [(70, 2), 9, 77]-NRT-code) [i]
41Linear OOA(2148, 80, F2, 2, 83) (dual of [(80, 2), 12, 84]-NRT-code) [i]
42Linear OOA(2134, 70, F2, 2, 83) (dual of [(70, 2), 6, 84]-NRT-code) [i]
43Linear OOA(2144, 75, F2, 2, 90) (dual of [(75, 2), 6, 91]-NRT-code) [i]
44Linear OOA(2175, 95, F2, 2, 90) (dual of [(95, 2), 15, 91]-NRT-code) [i]
45Linear OOA(2164, 85, F2, 2, 104) (dual of [(85, 2), 6, 105]-NRT-code) [i]
46Linear OOA(2185, 100, F2, 2, 97) (dual of [(100, 2), 15, 98]-NRT-code) [i]
47Linear OOA(2174, 90, F2, 2, 111) (dual of [(90, 2), 6, 112]-NRT-code) [i]
48Linear OOA(2188, 100, F2, 2, 104) (dual of [(100, 2), 12, 105]-NRT-code) [i]
49Linear OOA(2181, 95, F2, 2, 104) (dual of [(95, 2), 9, 105]-NRT-code) [i]
50Linear OOA(2191, 100, F2, 2, 111) (dual of [(100, 2), 9, 112]-NRT-code) [i]
51Linear OOA(2212, 115, F2, 2, 104) (dual of [(115, 2), 18, 105]-NRT-code) [i]
52Linear OOA(2201, 105, F2, 2, 118) (dual of [(105, 2), 9, 119]-NRT-code) [i]
53Linear OOA(2222, 120, F2, 2, 111) (dual of [(120, 2), 18, 112]-NRT-code) [i]
54Linear OOA(2211, 110, F2, 2, 125) (dual of [(110, 2), 9, 126]-NRT-code) [i]
55Linear OOA(2221, 115, F2, 2, 132) (dual of [(115, 2), 9, 133]-NRT-code) [i]
56Linear OOA(2235, 125, F2, 2, 125) (dual of [(125, 2), 15, 126]-NRT-code) [i]
57Linear OOA(2241, 125, F2, 2, 146) (dual of [(125, 2), 9, 147]-NRT-code) [i]
58Linear OOA(2251, 130, F2, 2, 153) (dual of [(130, 2), 9, 154]-NRT-code) [i]
59Linear OOA(2254, 130, F2, 2, 160) (dual of [(130, 2), 6, 161]-NRT-code) [i]
60Linear OOA(2208, 110, F2, 2, 118) (dual of [(110, 2), 12, 119]-NRT-code) [i]
61Linear OOA(2218, 115, F2, 2, 125) (dual of [(115, 2), 12, 126]-NRT-code) [i]
62Linear OOA(2228, 120, F2, 2, 132) (dual of [(120, 2), 12, 133]-NRT-code) [i]
63Linear OOA(2238, 125, F2, 2, 139) (dual of [(125, 2), 12, 140]-NRT-code) [i]
64Linear OOA(2245, 130, F2, 2, 132) (dual of [(130, 2), 15, 133]-NRT-code) [i]