Information on Result #622255

Linear OA(911, 30, F9, 7) (dual of [30, 19, 8]-code), using extended algebraic-geometric code AGe(F,22P) based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(951, 759, F9, 15) (dual of [759, 708, 16]-code) [i](u, u+v)-Construction
2Linear OA(977, 59079, F9, 15) (dual of [59079, 59002, 16]-code) [i]
3Linear OA(9103, 4782999, F9, 15) (dual of [4782999, 4782896, 16]-code) [i]
4Linear OA(972, 59079, F9, 14) (dual of [59079, 59007, 15]-code) [i]
5Linear OA(996, 4782999, F9, 14) (dual of [4782999, 4782903, 15]-code) [i]
6Linear OA(9148, 6592, F9, 39) (dual of [6592, 6444, 40]-code) [i]Construction X with Cyclic Codes
7Linear OA(9140, 6592, F9, 37) (dual of [6592, 6452, 38]-code) [i]
8Linear OA(9108, 760, F9, 35) (dual of [760, 652, 36]-code) [i]
9Linear OA(9102, 760, F9, 33) (dual of [760, 658, 34]-code) [i]
10Linear OA(996, 760, F9, 31) (dual of [760, 664, 32]-code) [i]
11Linear OA(990, 760, F9, 29) (dual of [760, 670, 30]-code) [i]
12Linear OA(984, 760, F9, 27) (dual of [760, 676, 28]-code) [i]
13Linear OA(951, 761, F9, 15) (dual of [761, 710, 16]-code) [i]Construction XX with Cyclic Codes
14Linear OA(955, 765, F9, 16) (dual of [765, 710, 17]-code) [i]
15Linear OA(959, 766, F9, 17) (dual of [766, 707, 18]-code) [i]
16Linear OA(958, 765, F9, 17) (dual of [765, 707, 18]-code) [i]
17Linear OA(962, 767, F9, 18) (dual of [767, 705, 19]-code) [i]
18Linear OA(962, 766, F9, 19) (dual of [766, 704, 20]-code) [i]
19Linear OA(967, 771, F9, 20) (dual of [771, 704, 21]-code) [i]
20Linear OA(965, 766, F9, 20) (dual of [766, 701, 21]-code) [i]
21Linear OA(967, 765, F9, 21) (dual of [765, 698, 22]-code) [i]
22Linear OA(972, 770, F9, 22) (dual of [770, 698, 23]-code) [i]
23Linear OA(970, 765, F9, 22) (dual of [765, 695, 23]-code) [i]
24Linear OA(976, 774, F9, 23) (dual of [774, 698, 24]-code) [i]
25Linear OA(973, 765, F9, 23) (dual of [765, 692, 24]-code) [i]
26Linear OA(979, 774, F9, 24) (dual of [774, 695, 25]-code) [i]
27Linear OA(976, 765, F9, 24) (dual of [765, 689, 25]-code) [i]
28Linear OA(982, 774, F9, 25) (dual of [774, 692, 26]-code) [i]
29Linear OA(979, 765, F9, 25) (dual of [765, 686, 26]-code) [i]
30Linear OA(983, 766, F9, 26) (dual of [766, 683, 27]-code) [i]
31Linear OA(988, 783, F9, 26) (dual of [783, 695, 27]-code) [i]
32Linear OA(985, 774, F9, 26) (dual of [774, 689, 27]-code) [i]
33Linear OA(982, 765, F9, 26) (dual of [765, 683, 27]-code) [i]
34Linear OA(991, 783, F9, 27) (dual of [783, 692, 28]-code) [i]
35Linear OA(988, 774, F9, 27) (dual of [774, 686, 28]-code) [i]
36Linear OA(993, 785, F9, 28) (dual of [785, 692, 29]-code) [i]
37Linear OA(991, 780, F9, 28) (dual of [780, 689, 29]-code) [i]
38Linear OA(988, 771, F9, 28) (dual of [771, 683, 29]-code) [i]
39Linear OA(986, 766, F9, 28) (dual of [766, 680, 29]-code) [i]
40Linear OA(996, 785, F9, 29) (dual of [785, 689, 30]-code) [i]
41Linear OA(994, 780, F9, 29) (dual of [780, 686, 30]-code) [i]
42Linear OA(991, 771, F9, 29) (dual of [771, 680, 30]-code) [i]
43Linear OA(989, 766, F9, 29) (dual of [766, 677, 30]-code) [i]
44Linear OA(999, 785, F9, 30) (dual of [785, 686, 31]-code) [i]
45Linear OA(997, 780, F9, 30) (dual of [780, 683, 31]-code) [i]
46Linear OA(994, 771, F9, 30) (dual of [771, 677, 31]-code) [i]
47Linear OA(991, 765, F9, 30) (dual of [765, 674, 31]-code) [i]
48Linear OA(9102, 785, F9, 31) (dual of [785, 683, 32]-code) [i]
49Linear OA(996, 770, F9, 31) (dual of [770, 674, 32]-code) [i]
50Linear OA(994, 765, F9, 31) (dual of [765, 671, 32]-code) [i]
51Linear OA(9100, 774, F9, 32) (dual of [774, 674, 33]-code) [i]
52Linear OA(997, 765, F9, 32) (dual of [765, 668, 33]-code) [i]
53Linear OA(9105, 779, F9, 33) (dual of [779, 674, 34]-code) [i]
54Linear OA(9103, 774, F9, 33) (dual of [774, 671, 34]-code) [i]
55Linear OA(9100, 765, F9, 33) (dual of [765, 665, 34]-code) [i]
56Linear OA(9109, 783, F9, 34) (dual of [783, 674, 35]-code) [i]
57Linear OA(9106, 774, F9, 34) (dual of [774, 668, 35]-code) [i]
58Linear OA(9103, 765, F9, 34) (dual of [765, 662, 35]-code) [i]
59Linear OA(9107, 766, F9, 35) (dual of [766, 659, 36]-code) [i]
60Linear OA(9112, 783, F9, 35) (dual of [783, 671, 36]-code) [i]
61Linear OA(9109, 774, F9, 35) (dual of [774, 665, 36]-code) [i]
62Linear OA(9106, 765, F9, 35) (dual of [765, 659, 36]-code) [i]
63Linear OA(9115, 783, F9, 36) (dual of [783, 668, 37]-code) [i]
64Linear OA(9112, 774, F9, 36) (dual of [774, 662, 37]-code) [i]
65Linear OA(9110, 767, F9, 36) (dual of [767, 657, 37]-code) [i]
66Linear OA(9120, 791, F9, 37) (dual of [791, 671, 38]-code) [i]
67Linear OA(9117, 785, F9, 37) (dual of [785, 668, 38]-code) [i]
68Linear OA(9115, 780, F9, 37) (dual of [780, 665, 38]-code) [i]
69Linear OA(9112, 771, F9, 37) (dual of [771, 659, 38]-code) [i]
70Linear OA(9110, 766, F9, 37) (dual of [766, 656, 38]-code) [i]
71Linear OA(9123, 791, F9, 38) (dual of [791, 668, 39]-code) [i]
72Linear OA(9120, 785, F9, 38) (dual of [785, 665, 39]-code) [i]
73Linear OA(9118, 780, F9, 38) (dual of [780, 662, 39]-code) [i]
74Linear OA(9115, 771, F9, 38) (dual of [771, 656, 39]-code) [i]
75Linear OA(9113, 766, F9, 38) (dual of [766, 653, 39]-code) [i]
76Linear OA(9126, 791, F9, 39) (dual of [791, 665, 40]-code) [i]
77Linear OA(9123, 785, F9, 39) (dual of [785, 662, 40]-code) [i]
78Linear OA(9121, 780, F9, 39) (dual of [780, 659, 40]-code) [i]
79Linear OA(9118, 771, F9, 39) (dual of [771, 653, 40]-code) [i]
80Linear OA(9115, 765, F9, 39) (dual of [765, 650, 40]-code) [i]
81Linear OA(9129, 791, F9, 40) (dual of [791, 662, 41]-code) [i]
82Linear OA(9126, 785, F9, 40) (dual of [785, 659, 41]-code) [i]
83Linear OA(9120, 770, F9, 40) (dual of [770, 650, 41]-code) [i]
84Linear OA(9118, 765, F9, 40) (dual of [765, 647, 41]-code) [i]
85Linear OA(9132, 791, F9, 41) (dual of [791, 659, 42]-code) [i]
86Linear OA(9124, 774, F9, 41) (dual of [774, 650, 42]-code) [i]
87Linear OA(9121, 765, F9, 41) (dual of [765, 644, 42]-code) [i]
88Linear OA(9129, 779, F9, 42) (dual of [779, 650, 43]-code) [i]
89Linear OA(9127, 774, F9, 42) (dual of [774, 647, 43]-code) [i]
90Linear OA(9124, 765, F9, 42) (dual of [765, 641, 43]-code) [i]
91Linear OA(9133, 783, F9, 43) (dual of [783, 650, 44]-code) [i]
92Linear OA(9130, 774, F9, 43) (dual of [774, 644, 44]-code) [i]
93Linear OA(9127, 765, F9, 43) (dual of [765, 638, 44]-code) [i]
94Linear OA(9131, 766, F9, 44) (dual of [766, 635, 45]-code) [i]
95Linear OA(9136, 783, F9, 44) (dual of [783, 647, 45]-code) [i]
96Linear OA(9133, 774, F9, 44) (dual of [774, 641, 45]-code) [i]
97Linear OA(9130, 765, F9, 44) (dual of [765, 635, 45]-code) [i]
98Linear OA(9139, 783, F9, 45) (dual of [783, 644, 46]-code) [i]
99Linear OA(9136, 774, F9, 45) (dual of [774, 638, 46]-code) [i]
100Linear OA(9144, 791, F9, 46) (dual of [791, 647, 47]-code) [i]
101Linear OA(9141, 785, F9, 46) (dual of [785, 644, 47]-code) [i]
102Linear OA(9139, 780, F9, 46) (dual of [780, 641, 47]-code) [i]
103Linear OA(9136, 771, F9, 46) (dual of [771, 635, 47]-code) [i]
104Linear OA(9134, 766, F9, 46) (dual of [766, 632, 47]-code) [i]
105Linear OA(9147, 791, F9, 47) (dual of [791, 644, 48]-code) [i]
106Linear OA(9144, 785, F9, 47) (dual of [785, 641, 48]-code) [i]
107Linear OA(9142, 780, F9, 47) (dual of [780, 638, 48]-code) [i]
108Linear OA(9139, 771, F9, 47) (dual of [771, 632, 48]-code) [i]
109Linear OA(9137, 766, F9, 47) (dual of [766, 629, 48]-code) [i]
110Linear OA(9150, 791, F9, 48) (dual of [791, 641, 49]-code) [i]
111Linear OA(9147, 785, F9, 48) (dual of [785, 638, 49]-code) [i]
112Linear OA(9145, 780, F9, 48) (dual of [780, 635, 49]-code) [i]
113Linear OA(9142, 771, F9, 48) (dual of [771, 629, 49]-code) [i]
114Linear OA(9139, 765, F9, 48) (dual of [765, 626, 49]-code) [i]
115Linear OA(9150, 785, F9, 49) (dual of [785, 635, 50]-code) [i]
116Linear OA(9144, 770, F9, 49) (dual of [770, 626, 50]-code) [i]
117Linear OA(9142, 765, F9, 49) (dual of [765, 623, 50]-code) [i]
118Linear OA(9148, 774, F9, 50) (dual of [774, 626, 51]-code) [i]
119Linear OA(9122, 762, F9, 41) (dual of [762, 640, 42]-code) [i]Construction XX with a Chain of Cyclic Codes
120Linear OA(9116, 762, F9, 39) (dual of [762, 646, 40]-code) [i]
121Linear OA(9110, 762, F9, 37) (dual of [762, 652, 38]-code) [i]
122Linear OA(974, 762, F9, 23) (dual of [762, 688, 24]-code) [i]
123Linear OA(968, 762, F9, 21) (dual of [762, 694, 22]-code) [i]
124Linear OA(962, 762, F9, 19) (dual of [762, 700, 20]-code) [i]
125Linear OA(9135, 759, F9, 47) (dual of [759, 624, 48]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
126Linear OA(9132, 759, F9, 46) (dual of [759, 627, 47]-code) [i]
127Linear OA(9123, 759, F9, 42) (dual of [759, 636, 43]-code) [i]
128Linear OA(9117, 759, F9, 40) (dual of [759, 642, 41]-code) [i]
129Linear OA(9111, 759, F9, 38) (dual of [759, 648, 39]-code) [i]
130Linear OA(9102, 759, F9, 34) (dual of [759, 657, 35]-code) [i]
131Linear OA(999, 759, F9, 33) (dual of [759, 660, 34]-code) [i]
132Linear OA(996, 759, F9, 32) (dual of [759, 663, 33]-code) [i]
133Linear OA(993, 759, F9, 31) (dual of [759, 666, 32]-code) [i]
134Linear OA(990, 759, F9, 30) (dual of [759, 669, 31]-code) [i]
135Linear OA(987, 759, F9, 29) (dual of [759, 672, 30]-code) [i]
136Linear OA(984, 759, F9, 28) (dual of [759, 675, 29]-code) [i]
137Linear OA(975, 759, F9, 24) (dual of [759, 684, 25]-code) [i]
138Linear OA(969, 759, F9, 22) (dual of [759, 690, 23]-code) [i]
139Linear OA(963, 759, F9, 20) (dual of [759, 696, 21]-code) [i]
140Linear OA(954, 759, F9, 16) (dual of [759, 705, 17]-code) [i]
141Linear OOA(911, 15, F9, 2, 7) (dual of [(15, 2), 19, 8]-NRT-code) [i]OOA Folding