Information on Result #880679

Linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,3P) based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, 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(325, 14, F3, 2, 21) (dual of [(14, 2), 3, 22]-NRT-code) [i]Repeating Each Code Word for NRT-Codes
2Linear OOA(339, 21, F3, 2, 32) (dual of [(21, 2), 3, 33]-NRT-code) [i]
3Linear OOA(353, 28, F3, 2, 43) (dual of [(28, 2), 3, 44]-NRT-code) [i]
4Linear OOA(367, 35, F3, 2, 54) (dual of [(35, 2), 3, 55]-NRT-code) [i]
5Linear OOA(381, 42, F3, 2, 65) (dual of [(42, 2), 3, 66]-NRT-code) [i]
6Linear OOA(395, 49, F3, 2, 76) (dual of [(49, 2), 3, 77]-NRT-code) [i]
7Linear OOA(3109, 56, F3, 2, 87) (dual of [(56, 2), 3, 88]-NRT-code) [i]
8Linear OOA(3123, 63, F3, 2, 98) (dual of [(63, 2), 3, 99]-NRT-code) [i]
9Linear OOA(3137, 70, F3, 2, 109) (dual of [(70, 2), 3, 110]-NRT-code) [i]
10Linear OOA(3151, 77, F3, 2, 120) (dual of [(77, 2), 3, 121]-NRT-code) [i]
11Linear OOA(3165, 84, F3, 2, 131) (dual of [(84, 2), 3, 132]-NRT-code) [i]
12Linear OOA(3179, 91, F3, 2, 142) (dual of [(91, 2), 3, 143]-NRT-code) [i]
13Linear OOA(3193, 98, F3, 2, 153) (dual of [(98, 2), 3, 154]-NRT-code) [i]
14Linear OOA(3207, 105, F3, 2, 164) (dual of [(105, 2), 3, 165]-NRT-code) [i]
15Linear OOA(3221, 112, F3, 2, 175) (dual of [(112, 2), 3, 176]-NRT-code) [i]
16Linear OOA(3235, 119, F3, 2, 186) (dual of [(119, 2), 3, 187]-NRT-code) [i]
17Linear OOA(3249, 126, F3, 2, 197) (dual of [(126, 2), 3, 198]-NRT-code) [i]
18Linear OOA(3207, 4194308, F3, 2, 20) (dual of [(4194308, 2), 8388409, 21]-NRT-code) [i](u, u+v)-Construction for OOAs
19Linear OOA(3221, 4194308, F3, 2, 21) (dual of [(4194308, 2), 8388395, 22]-NRT-code) [i]
20Linear OOA(342, 23, F3, 2, 31) (dual of [(23, 2), 4, 32]-NRT-code) [i]Generalized (u, u+v)-Construction for OOAs
21Linear OOA(333, 21, F3, 2, 21) (dual of [(21, 2), 9, 22]-NRT-code) [i]
22Linear OOA(332, 21, F3, 2, 20) (dual of [(21, 2), 10, 21]-NRT-code) [i]
23Linear OOA(319, 11, F3, 2, 16) (dual of [(11, 2), 3, 17]-NRT-code) [i]Juxtaposition for OOAs
24Linear OOA(389, 46, F3, 2, 72) (dual of [(46, 2), 3, 73]-NRT-code) [i]
25Linear OOA(397, 50, F3, 2, 78) (dual of [(50, 2), 3, 79]-NRT-code) [i]
26Linear OOA(3101, 52, F3, 2, 81) (dual of [(52, 2), 3, 82]-NRT-code) [i]
27Linear OOA(3103, 53, F3, 2, 83) (dual of [(53, 2), 3, 84]-NRT-code) [i]
28Linear OOA(3105, 54, F3, 2, 84) (dual of [(54, 2), 3, 85]-NRT-code) [i]
29Linear OOA(3111, 57, F3, 2, 89) (dual of [(57, 2), 3, 90]-NRT-code) [i]
30Linear OOA(3113, 58, F3, 2, 90) (dual of [(58, 2), 3, 91]-NRT-code) [i]
31Linear OOA(3115, 59, F3, 2, 92) (dual of [(59, 2), 3, 93]-NRT-code) [i]
32Linear OOA(3117, 60, F3, 2, 94) (dual of [(60, 2), 3, 95]-NRT-code) [i]
33Linear OOA(3119, 61, F3, 2, 95) (dual of [(61, 2), 3, 96]-NRT-code) [i]
34Linear OOA(3125, 64, F3, 2, 100) (dual of [(64, 2), 3, 101]-NRT-code) [i]
35Linear OOA(3127, 65, F3, 2, 101) (dual of [(65, 2), 3, 102]-NRT-code) [i]
36Linear OOA(3129, 66, F3, 2, 103) (dual of [(66, 2), 3, 104]-NRT-code) [i]
37Linear OOA(3131, 67, F3, 2, 105) (dual of [(67, 2), 3, 106]-NRT-code) [i]
38Linear OOA(3133, 68, F3, 2, 106) (dual of [(68, 2), 3, 107]-NRT-code) [i]
39Linear OOA(3139, 71, F3, 2, 111) (dual of [(71, 2), 3, 112]-NRT-code) [i]
40Linear OOA(3141, 72, F3, 2, 112) (dual of [(72, 2), 3, 113]-NRT-code) [i]
41Linear OOA(3143, 73, F3, 2, 114) (dual of [(73, 2), 3, 115]-NRT-code) [i]
42Linear OOA(3145, 74, F3, 2, 116) (dual of [(74, 2), 3, 117]-NRT-code) [i]
43Linear OOA(3167, 85, F3, 2, 134) (dual of [(85, 2), 3, 135]-NRT-code) [i]
44Linear OOA(3175, 89, F3, 2, 140) (dual of [(89, 2), 3, 141]-NRT-code) [i]
45Linear OOA(3179, 91, F3, 2, 143) (dual of [(91, 2), 3, 144]-NRT-code) [i]
46Linear OOA(3181, 92, F3, 2, 145) (dual of [(92, 2), 3, 146]-NRT-code) [i]
47Linear OOA(3183, 93, F3, 2, 146) (dual of [(93, 2), 3, 147]-NRT-code) [i]
48Linear OOA(3187, 95, F3, 2, 149) (dual of [(95, 2), 3, 150]-NRT-code) [i]
49Linear OOA(3189, 96, F3, 2, 151) (dual of [(96, 2), 3, 152]-NRT-code) [i]
50Linear OOA(3191, 97, F3, 2, 152) (dual of [(97, 2), 3, 153]-NRT-code) [i]
51Linear OOA(3193, 98, F3, 2, 154) (dual of [(98, 2), 3, 155]-NRT-code) [i]
52Linear OOA(3195, 99, F3, 2, 156) (dual of [(99, 2), 3, 157]-NRT-code) [i]
53Linear OOA(3197, 100, F3, 2, 157) (dual of [(100, 2), 3, 158]-NRT-code) [i]
54Linear OOA(3199, 101, F3, 2, 158) (dual of [(101, 2), 3, 159]-NRT-code) [i]
55Linear OOA(3201, 102, F3, 2, 160) (dual of [(102, 2), 3, 161]-NRT-code) [i]
56Linear OOA(3203, 103, F3, 2, 162) (dual of [(103, 2), 3, 163]-NRT-code) [i]
57Linear OOA(3205, 104, F3, 2, 163) (dual of [(104, 2), 3, 164]-NRT-code) [i]
58Linear OOA(3207, 105, F3, 2, 165) (dual of [(105, 2), 3, 166]-NRT-code) [i]
59Linear OOA(3209, 106, F3, 2, 167) (dual of [(106, 2), 3, 168]-NRT-code) [i]
60Linear OOA(3211, 107, F3, 2, 168) (dual of [(107, 2), 3, 169]-NRT-code) [i]
61Linear OOA(3213, 108, F3, 2, 169) (dual of [(108, 2), 3, 170]-NRT-code) [i]
62Linear OOA(3215, 109, F3, 2, 171) (dual of [(109, 2), 3, 172]-NRT-code) [i]
63Linear OOA(3217, 110, F3, 2, 173) (dual of [(110, 2), 3, 174]-NRT-code) [i]
64Linear OOA(3219, 111, F3, 2, 174) (dual of [(111, 2), 3, 175]-NRT-code) [i]
65Linear OOA(3221, 112, F3, 2, 176) (dual of [(112, 2), 3, 177]-NRT-code) [i]
66Linear OOA(3223, 113, F3, 2, 178) (dual of [(113, 2), 3, 179]-NRT-code) [i]
67Linear OOA(3245, 124, F3, 2, 196) (dual of [(124, 2), 3, 197]-NRT-code) [i]
68Linear OOA(3134, 70, F3, 2, 98) (dual of [(70, 2), 6, 99]-NRT-code) [i]Concatenation of Two NRT-Codes
69Linear OOA(3148, 77, F3, 2, 109) (dual of [(77, 2), 6, 110]-NRT-code) [i]
70Linear OOA(3162, 84, F3, 2, 120) (dual of [(84, 2), 6, 121]-NRT-code) [i]
71Linear OOA(3176, 91, F3, 2, 131) (dual of [(91, 2), 6, 132]-NRT-code) [i]
72Linear OOA(3240, 126, F3, 2, 164) (dual of [(126, 2), 12, 165]-NRT-code) [i]
73Linear OOA(3229, 119, F3, 2, 164) (dual of [(119, 2), 9, 165]-NRT-code) [i]
74Linear OOA(3243, 126, F3, 2, 175) (dual of [(126, 2), 9, 176]-NRT-code) [i]
75Linear OOA(3232, 119, F3, 2, 175) (dual of [(119, 2), 6, 176]-NRT-code) [i]
76Linear OOA(3246, 126, F3, 2, 186) (dual of [(126, 2), 6, 187]-NRT-code) [i]