Information on Result #1107742

Linear OOA(263, 21, F2, 5, 42) (dual of [(21, 5), 42, 43]-NRT-code), using extended algebraic-geometric NRT-code AGe(5;F,62P) based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, 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(263, 21, F2, 5, 41) (dual of [(21, 5), 42, 42]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(263, 21, F2, 5, 40) (dual of [(21, 5), 42, 41]-NRT-code) [i]
3Linear OOA(263, 21, F2, 5, 39) (dual of [(21, 5), 42, 40]-NRT-code) [i]
4Linear OOA(263, 21, F2, 5, 38) (dual of [(21, 5), 42, 39]-NRT-code) [i]
5Linear OOA(268, 22, F2, 5, 42) (dual of [(22, 5), 42, 43]-NRT-code) [i]NRT-Code Embedding in Larger Space
6Linear OOA(2217, 70, F2, 5, 84) (dual of [(70, 5), 133, 85]-NRT-code) [i](u, u+v)-Construction for OOAs
7Linear OOA(2218, 70, F2, 5, 85) (dual of [(70, 5), 132, 86]-NRT-code) [i]
8Linear OOA(2260, 62, F2, 5, 143) (dual of [(62, 5), 50, 144]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
9Linear OOA(2259, 62, F2, 5, 142) (dual of [(62, 5), 51, 143]-NRT-code) [i]
10Linear OOA(2258, 62, F2, 5, 141) (dual of [(62, 5), 52, 142]-NRT-code) [i]
11Linear OOA(2257, 62, F2, 5, 140) (dual of [(62, 5), 53, 141]-NRT-code) [i]
12Linear OOA(2256, 62, F2, 5, 139) (dual of [(62, 5), 54, 140]-NRT-code) [i]
13Linear OOA(2255, 62, F2, 5, 138) (dual of [(62, 5), 55, 139]-NRT-code) [i]
14Linear OOA(2254, 62, F2, 5, 137) (dual of [(62, 5), 56, 138]-NRT-code) [i]
15Linear OOA(2253, 62, F2, 5, 136) (dual of [(62, 5), 57, 137]-NRT-code) [i]
16Linear OOA(2252, 62, F2, 5, 135) (dual of [(62, 5), 58, 136]-NRT-code) [i]
17Linear OOA(2251, 62, F2, 5, 134) (dual of [(62, 5), 59, 135]-NRT-code) [i]
18Linear OOA(2250, 62, F2, 5, 133) (dual of [(62, 5), 60, 134]-NRT-code) [i]
19Linear OOA(2249, 62, F2, 5, 132) (dual of [(62, 5), 61, 133]-NRT-code) [i]
20Linear OOA(2248, 62, F2, 5, 131) (dual of [(62, 5), 62, 132]-NRT-code) [i]
21Linear OOA(2247, 62, F2, 5, 130) (dual of [(62, 5), 63, 131]-NRT-code) [i]
22Linear OOA(2246, 62, F2, 5, 129) (dual of [(62, 5), 64, 130]-NRT-code) [i]
23Linear OOA(2245, 62, F2, 5, 128) (dual of [(62, 5), 65, 129]-NRT-code) [i]
24Linear OOA(2244, 62, F2, 5, 127) (dual of [(62, 5), 66, 128]-NRT-code) [i]
25Linear OOA(2243, 62, F2, 5, 126) (dual of [(62, 5), 67, 127]-NRT-code) [i]
26Linear OOA(2242, 62, F2, 5, 125) (dual of [(62, 5), 68, 126]-NRT-code) [i]
27Linear OOA(2241, 62, F2, 5, 124) (dual of [(62, 5), 69, 125]-NRT-code) [i]
28Linear OOA(2240, 62, F2, 5, 123) (dual of [(62, 5), 70, 124]-NRT-code) [i]
29Linear OOA(2239, 62, F2, 5, 122) (dual of [(62, 5), 71, 123]-NRT-code) [i]
30Linear OOA(2238, 62, F2, 5, 121) (dual of [(62, 5), 72, 122]-NRT-code) [i]
31Linear OOA(2237, 62, F2, 5, 120) (dual of [(62, 5), 73, 121]-NRT-code) [i]
32Linear OOA(2236, 62, F2, 5, 119) (dual of [(62, 5), 74, 120]-NRT-code) [i]
33Linear OOA(2235, 62, F2, 5, 118) (dual of [(62, 5), 75, 119]-NRT-code) [i]
34Linear OOA(2234, 62, F2, 5, 117) (dual of [(62, 5), 76, 118]-NRT-code) [i]
35Linear OOA(2233, 62, F2, 5, 116) (dual of [(62, 5), 77, 117]-NRT-code) [i]
36Linear OOA(2232, 62, F2, 5, 115) (dual of [(62, 5), 78, 116]-NRT-code) [i]
37Linear OOA(2231, 62, F2, 5, 114) (dual of [(62, 5), 79, 115]-NRT-code) [i]
38Linear OOA(2230, 62, F2, 5, 113) (dual of [(62, 5), 80, 114]-NRT-code) [i]
39Linear OOA(2229, 62, F2, 5, 112) (dual of [(62, 5), 81, 113]-NRT-code) [i]
40Linear OOA(2228, 62, F2, 5, 111) (dual of [(62, 5), 82, 112]-NRT-code) [i]
41Linear OOA(2227, 62, F2, 5, 110) (dual of [(62, 5), 83, 111]-NRT-code) [i]
42Linear OOA(2226, 62, F2, 5, 109) (dual of [(62, 5), 84, 110]-NRT-code) [i]
43Linear OOA(2225, 62, F2, 5, 108) (dual of [(62, 5), 85, 109]-NRT-code) [i]
44Linear OOA(2224, 62, F2, 5, 107) (dual of [(62, 5), 86, 108]-NRT-code) [i]
45Linear OOA(2223, 62, F2, 5, 106) (dual of [(62, 5), 87, 107]-NRT-code) [i]
46Linear OOA(2222, 62, F2, 5, 105) (dual of [(62, 5), 88, 106]-NRT-code) [i]
47Linear OOA(2221, 62, F2, 5, 104) (dual of [(62, 5), 89, 105]-NRT-code) [i]
48Linear OOA(2220, 62, F2, 5, 103) (dual of [(62, 5), 90, 104]-NRT-code) [i]
49Linear OOA(2219, 62, F2, 5, 102) (dual of [(62, 5), 91, 103]-NRT-code) [i]
50Linear OOA(2218, 62, F2, 5, 101) (dual of [(62, 5), 92, 102]-NRT-code) [i]
51Linear OOA(2217, 62, F2, 5, 100) (dual of [(62, 5), 93, 101]-NRT-code) [i]
52Linear OOA(2216, 62, F2, 5, 99) (dual of [(62, 5), 94, 100]-NRT-code) [i]
53Linear OOA(2215, 62, F2, 5, 98) (dual of [(62, 5), 95, 99]-NRT-code) [i]
54Linear OOA(2214, 62, F2, 5, 97) (dual of [(62, 5), 96, 98]-NRT-code) [i]
55Linear OOA(2213, 62, F2, 5, 96) (dual of [(62, 5), 97, 97]-NRT-code) [i]
56Linear OOA(2212, 62, F2, 5, 95) (dual of [(62, 5), 98, 96]-NRT-code) [i]
57Linear OOA(2211, 62, F2, 5, 94) (dual of [(62, 5), 99, 95]-NRT-code) [i]
58Linear OOA(2210, 62, F2, 5, 93) (dual of [(62, 5), 100, 94]-NRT-code) [i]
59Linear OOA(2209, 62, F2, 5, 92) (dual of [(62, 5), 101, 93]-NRT-code) [i]
60Linear OOA(2208, 62, F2, 5, 91) (dual of [(62, 5), 102, 92]-NRT-code) [i]
61Linear OOA(2207, 62, F2, 5, 90) (dual of [(62, 5), 103, 91]-NRT-code) [i]
62Linear OOA(2260, 68, F2, 5, 128) (dual of [(68, 5), 80, 129]-NRT-code) [i]
63Linear OOA(2259, 68, F2, 5, 127) (dual of [(68, 5), 81, 128]-NRT-code) [i]
64Linear OOA(2258, 68, F2, 5, 126) (dual of [(68, 5), 82, 127]-NRT-code) [i]
65Linear OOA(2257, 68, F2, 5, 125) (dual of [(68, 5), 83, 126]-NRT-code) [i]
66Linear OOA(2256, 68, F2, 5, 124) (dual of [(68, 5), 84, 125]-NRT-code) [i]
67Linear OOA(2255, 68, F2, 5, 123) (dual of [(68, 5), 85, 124]-NRT-code) [i]
68Linear OOA(2254, 68, F2, 5, 122) (dual of [(68, 5), 86, 123]-NRT-code) [i]
69Linear OOA(2253, 68, F2, 5, 121) (dual of [(68, 5), 87, 122]-NRT-code) [i]
70Linear OOA(2252, 68, F2, 5, 120) (dual of [(68, 5), 88, 121]-NRT-code) [i]
71Linear OOA(2251, 68, F2, 5, 119) (dual of [(68, 5), 89, 120]-NRT-code) [i]
72Linear OOA(2250, 68, F2, 5, 118) (dual of [(68, 5), 90, 119]-NRT-code) [i]
73Linear OOA(2249, 68, F2, 5, 117) (dual of [(68, 5), 91, 118]-NRT-code) [i]
74Linear OOA(2248, 68, F2, 5, 116) (dual of [(68, 5), 92, 117]-NRT-code) [i]
75Linear OOA(2247, 68, F2, 5, 115) (dual of [(68, 5), 93, 116]-NRT-code) [i]
76Linear OOA(2246, 68, F2, 5, 114) (dual of [(68, 5), 94, 115]-NRT-code) [i]
77Linear OOA(2245, 68, F2, 5, 113) (dual of [(68, 5), 95, 114]-NRT-code) [i]
78Linear OOA(2244, 68, F2, 5, 112) (dual of [(68, 5), 96, 113]-NRT-code) [i]
79Linear OOA(2243, 68, F2, 5, 111) (dual of [(68, 5), 97, 112]-NRT-code) [i]
80Linear OOA(2242, 68, F2, 5, 110) (dual of [(68, 5), 98, 111]-NRT-code) [i]
81Linear OOA(2241, 68, F2, 5, 109) (dual of [(68, 5), 99, 110]-NRT-code) [i]
82Linear OOA(2240, 68, F2, 5, 108) (dual of [(68, 5), 100, 109]-NRT-code) [i]
83Linear OOA(2239, 68, F2, 5, 107) (dual of [(68, 5), 101, 108]-NRT-code) [i]
84Linear OOA(2238, 68, F2, 5, 106) (dual of [(68, 5), 102, 107]-NRT-code) [i]
85Linear OOA(2237, 68, F2, 5, 105) (dual of [(68, 5), 103, 106]-NRT-code) [i]
86Linear OOA(2236, 68, F2, 5, 104) (dual of [(68, 5), 104, 105]-NRT-code) [i]
87Linear OOA(2235, 68, F2, 5, 103) (dual of [(68, 5), 105, 104]-NRT-code) [i]
88Linear OOA(2234, 68, F2, 5, 102) (dual of [(68, 5), 106, 103]-NRT-code) [i]
89Linear OOA(2233, 68, F2, 5, 101) (dual of [(68, 5), 107, 102]-NRT-code) [i]
90Linear OOA(2232, 68, F2, 5, 100) (dual of [(68, 5), 108, 101]-NRT-code) [i]
91Linear OOA(2231, 68, F2, 5, 99) (dual of [(68, 5), 109, 100]-NRT-code) [i]
92Linear OOA(2230, 68, F2, 5, 98) (dual of [(68, 5), 110, 99]-NRT-code) [i]
93Linear OOA(2229, 68, F2, 5, 97) (dual of [(68, 5), 111, 98]-NRT-code) [i]
94Linear OOA(2228, 68, F2, 5, 96) (dual of [(68, 5), 112, 97]-NRT-code) [i]
95Linear OOA(2227, 68, F2, 5, 95) (dual of [(68, 5), 113, 96]-NRT-code) [i]
96Linear OOA(2226, 68, F2, 5, 94) (dual of [(68, 5), 114, 95]-NRT-code) [i]
97Linear OOA(2225, 68, F2, 5, 93) (dual of [(68, 5), 115, 94]-NRT-code) [i]
98Linear OOA(2259, 69, F2, 5, 126) (dual of [(69, 5), 86, 127]-NRT-code) [i]
99Linear OOA(2257, 69, F2, 5, 124) (dual of [(69, 5), 88, 125]-NRT-code) [i]
100Linear OOA(2255, 69, F2, 5, 122) (dual of [(69, 5), 90, 123]-NRT-code) [i]
101Linear OOA(2253, 69, F2, 5, 120) (dual of [(69, 5), 92, 121]-NRT-code) [i]
102Linear OOA(2251, 69, F2, 5, 118) (dual of [(69, 5), 94, 119]-NRT-code) [i]
103Linear OOA(2249, 69, F2, 5, 116) (dual of [(69, 5), 96, 117]-NRT-code) [i]
104Linear OOA(2247, 69, F2, 5, 114) (dual of [(69, 5), 98, 115]-NRT-code) [i]
105Linear OOA(2245, 69, F2, 5, 112) (dual of [(69, 5), 100, 113]-NRT-code) [i]
106Linear OOA(2243, 69, F2, 5, 110) (dual of [(69, 5), 102, 111]-NRT-code) [i]
107Linear OOA(2241, 69, F2, 5, 108) (dual of [(69, 5), 104, 109]-NRT-code) [i]
108Linear OOA(2239, 69, F2, 5, 106) (dual of [(69, 5), 106, 107]-NRT-code) [i]
109Linear OOA(2237, 69, F2, 5, 104) (dual of [(69, 5), 108, 105]-NRT-code) [i]
110Linear OOA(2235, 69, F2, 5, 102) (dual of [(69, 5), 110, 103]-NRT-code) [i]
111Linear OOA(2233, 69, F2, 5, 100) (dual of [(69, 5), 112, 101]-NRT-code) [i]
112Linear OOA(2231, 69, F2, 5, 98) (dual of [(69, 5), 114, 99]-NRT-code) [i]
113Linear OOA(2229, 69, F2, 5, 96) (dual of [(69, 5), 116, 97]-NRT-code) [i]
114Linear OOA(2227, 69, F2, 5, 94) (dual of [(69, 5), 118, 95]-NRT-code) [i]
115Linear OOA(2225, 69, F2, 5, 92) (dual of [(69, 5), 120, 93]-NRT-code) [i]
116Linear OOA(2223, 69, F2, 5, 90) (dual of [(69, 5), 122, 91]-NRT-code) [i]