Information on Result #880653

Linear OOA(28, 6, F2, 2, 6) (dual of [(6, 2), 4, 7]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,5P) based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(232, 18, F2, 2, 20) (dual of [(18, 2), 4, 21]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(280, 42, F2, 2, 48) (dual of [(42, 2), 4, 49]-NRT-code) [i]
3Linear OOA(2146, 4194307, F2, 2, 12) (dual of [(4194307, 2), 8388468, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(221, 13, F2, 2, 13) (dual of [(13, 2), 5, 14]-NRT-code) [i]
5Linear OOA(2147, 4194307, F2, 2, 13) (dual of [(4194307, 2), 8388467, 14]-NRT-code) [i]
6Linear OOA(218, 11, F2, 2, 12) (dual of [(11, 2), 4, 13]-NRT-code) [i]Juxtaposition for OOAs
7Linear OOA(224, 14, F2, 2, 16) (dual of [(14, 2), 4, 17]-NRT-code) [i]
8Linear OOA(234, 19, F2, 2, 22) (dual of [(19, 2), 4, 23]-NRT-code) [i]
9Linear OOA(240, 22, F2, 2, 26) (dual of [(22, 2), 4, 27]-NRT-code) [i]
10Linear OOA(250, 27, F2, 2, 32) (dual of [(27, 2), 4, 33]-NRT-code) [i]
11Linear OOA(256, 30, F2, 2, 36) (dual of [(30, 2), 4, 37]-NRT-code) [i]
12Linear OOA(266, 35, F2, 2, 42) (dual of [(35, 2), 4, 43]-NRT-code) [i]
13Linear OOA(272, 38, F2, 2, 46) (dual of [(38, 2), 4, 47]-NRT-code) [i]
14Linear OOA(282, 43, F2, 2, 52) (dual of [(43, 2), 4, 53]-NRT-code) [i]
15Linear OOA(288, 46, F2, 2, 56) (dual of [(46, 2), 4, 57]-NRT-code) [i]
16Linear OOA(298, 51, F2, 2, 62) (dual of [(51, 2), 4, 63]-NRT-code) [i]
17Linear OOA(2104, 54, F2, 2, 66) (dual of [(54, 2), 4, 67]-NRT-code) [i]
18Linear OOA(2114, 59, F2, 2, 72) (dual of [(59, 2), 4, 73]-NRT-code) [i]
19Linear OOA(2120, 62, F2, 2, 76) (dual of [(62, 2), 4, 77]-NRT-code) [i]
20Linear OOA(2130, 67, F2, 2, 82) (dual of [(67, 2), 4, 83]-NRT-code) [i]
21Linear OOA(2136, 70, F2, 2, 86) (dual of [(70, 2), 4, 87]-NRT-code) [i]
22Linear OOA(2146, 75, F2, 2, 92) (dual of [(75, 2), 4, 93]-NRT-code) [i]
23Linear OOA(2152, 78, F2, 2, 96) (dual of [(78, 2), 4, 97]-NRT-code) [i]
24Linear OOA(2162, 83, F2, 2, 102) (dual of [(83, 2), 4, 103]-NRT-code) [i]
25Linear OOA(2168, 86, F2, 2, 106) (dual of [(86, 2), 4, 107]-NRT-code) [i]
26Linear OOA(2178, 91, F2, 2, 112) (dual of [(91, 2), 4, 113]-NRT-code) [i]
27Linear OOA(2184, 94, F2, 2, 116) (dual of [(94, 2), 4, 117]-NRT-code) [i]
28Linear OOA(2194, 99, F2, 2, 122) (dual of [(99, 2), 4, 123]-NRT-code) [i]
29Linear OOA(2200, 102, F2, 2, 126) (dual of [(102, 2), 4, 127]-NRT-code) [i]
30Linear OOA(2210, 107, F2, 2, 132) (dual of [(107, 2), 4, 133]-NRT-code) [i]
31Linear OOA(2216, 110, F2, 2, 136) (dual of [(110, 2), 4, 137]-NRT-code) [i]
32Linear OOA(2226, 115, F2, 2, 142) (dual of [(115, 2), 4, 143]-NRT-code) [i]
33Linear OOA(2232, 118, F2, 2, 146) (dual of [(118, 2), 4, 147]-NRT-code) [i]
34Linear OOA(2242, 123, F2, 2, 152) (dual of [(123, 2), 4, 153]-NRT-code) [i]
35Linear OOA(2248, 126, F2, 2, 156) (dual of [(126, 2), 4, 157]-NRT-code) [i]
36Linear OOA(2258, 131, F2, 2, 162) (dual of [(131, 2), 4, 163]-NRT-code) [i]
37Linear OOA(238, 21, F2, 2, 26) (dual of [(21, 2), 4, 27]-NRT-code) [i]
38Linear OOA(268, 36, F2, 2, 46) (dual of [(36, 2), 4, 47]-NRT-code) [i]
39Linear OOA(298, 51, F2, 2, 66) (dual of [(51, 2), 4, 67]-NRT-code) [i]
40Linear OOA(2128, 66, F2, 2, 86) (dual of [(66, 2), 4, 87]-NRT-code) [i]
41Linear OOA(2158, 81, F2, 2, 106) (dual of [(81, 2), 4, 107]-NRT-code) [i]
42Linear OOA(2188, 96, F2, 2, 126) (dual of [(96, 2), 4, 127]-NRT-code) [i]
43Linear OOA(2218, 111, F2, 2, 146) (dual of [(111, 2), 4, 147]-NRT-code) [i]
44Linear OOA(2248, 126, F2, 2, 166) (dual of [(126, 2), 4, 167]-NRT-code) [i]
45Linear OOA(2184, 102, F2, 2, 90) (dual of [(102, 2), 20, 91]-NRT-code) [i]Concatenation of Two NRT-Codes
46Linear OOA(2176, 96, F2, 2, 90) (dual of [(96, 2), 16, 91]-NRT-code) [i]
47Linear OOA(2188, 102, F2, 2, 97) (dual of [(102, 2), 16, 98]-NRT-code) [i]