Information on Result #606809

Linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using extended Reed–Solomon code RSe(8,9)

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(99, 83, F9, 5) (dual of [83, 74, 6]-code) [i](u, u+v)-Construction
2Linear OA(916, 12972, F9, 5) (dual of [12972, 12956, 6]-code) [i]
3Linear OA(928, 1062894, F9, 5) (dual of [1062894, 1062866, 6]-code) [i]
4Linear OA(931, 4782980, F9, 5) (dual of [4782980, 4782949, 6]-code) [i]
5Linear OA(918, 59059, F9, 4) (dual of [59059, 59041, 5]-code) [i]
6Linear OA(924, 4782979, F9, 4) (dual of [4782979, 4782955, 5]-code) [i]
7Linear OA(918, 59064, F9, 4) (dual of [59064, 59046, 5]-code) [i]
8Linear OA(983, 91, F9, 64) (dual of [91, 8, 65]-code) [i]Juxtaposition
9Linear OA(9132, 140, F9, 104) (dual of [140, 8, 105]-code) [i]
10Linear OA(942, 59069, F9, 8) (dual of [59069, 59027, 9]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(956, 4782989, F9, 8) (dual of [4782989, 4782933, 9]-code) [i]
12Linear OA(936, 59070, F9, 7) (dual of [59070, 59034, 8]-code) [i]
13Linear OA(948, 4782990, F9, 7) (dual of [4782990, 4782942, 8]-code) [i]
14Linear OA(917, 12982, F9, 5) (dual of [12982, 12965, 6]-code) [i]
15Linear OA(932, 4782990, F9, 5) (dual of [4782990, 4782958, 6]-code) [i]
16Linear OA(9115, 4782980, F9, 18) (dual of [4782980, 4782865, 19]-code) [i]Construction X with Cyclic Codes
17Linear OA(999, 531452, F9, 18) (dual of [531452, 531353, 19]-code) [i]
18Linear OA(983, 59060, F9, 18) (dual of [59060, 58977, 19]-code) [i]
19Linear OA(9131, 6572, F9, 36) (dual of [6572, 6441, 37]-code) [i]
20Linear OA(967, 6572, F9, 18) (dual of [6572, 6505, 19]-code) [i]
21Linear OA(9111, 740, F9, 40) (dual of [740, 629, 41]-code) [i]
22Linear OA(999, 740, F9, 34) (dual of [740, 641, 35]-code) [i]
23Linear OA(993, 740, F9, 32) (dual of [740, 647, 33]-code) [i]
24Linear OA(987, 740, F9, 30) (dual of [740, 653, 31]-code) [i]
25Linear OA(981, 740, F9, 28) (dual of [740, 659, 29]-code) [i]
26Linear OA(975, 740, F9, 26) (dual of [740, 665, 27]-code) [i]
27Linear OA(969, 740, F9, 24) (dual of [740, 671, 25]-code) [i]
28Linear OA(963, 740, F9, 22) (dual of [740, 677, 23]-code) [i]
29Linear OA(951, 740, F9, 16) (dual of [740, 689, 17]-code) [i]
30Linear OA(990, 101, F9, 63) (dual of [101, 11, 64]-code) [i]
31Linear OA(983, 92, F9, 64) (dual of [92, 9, 65]-code) [i]
32Linear OA(951, 92, F9, 28) (dual of [92, 41, 29]-code) [i]
33Linear OA(947, 92, F9, 26) (dual of [92, 45, 27]-code) [i]
34Linear OA(943, 92, F9, 24) (dual of [92, 49, 25]-code) [i]
35Linear OA(9129, 374, F9, 53) (dual of [374, 245, 54]-code) [i]
36Linear OA(975, 830, F9, 22) (dual of [830, 755, 23]-code) [i]
37Linear OA(984, 830, F9, 24) (dual of [830, 746, 25]-code) [i]
38Linear OA(9100, 830, F9, 29) (dual of [830, 730, 30]-code) [i]
39Linear OA(999, 830, F9, 29) (dual of [830, 731, 30]-code) [i]
40Linear OA(9103, 830, F9, 30) (dual of [830, 727, 31]-code) [i]
41Linear OA(9124, 830, F9, 37) (dual of [830, 706, 38]-code) [i]
42Linear OA(9128, 830, F9, 38) (dual of [830, 702, 39]-code) [i]
43Linear OA(9140, 830, F9, 41) (dual of [830, 690, 42]-code) [i]
44Linear OA(9139, 830, F9, 41) (dual of [830, 691, 42]-code) [i]
45Linear OA(9144, 830, F9, 42) (dual of [830, 686, 43]-code) [i]
46Linear OA(9143, 830, F9, 42) (dual of [830, 687, 43]-code) [i]
47Linear OA(9131, 382, F9, 53) (dual of [382, 251, 54]-code) [i]Construction XX with Cyclic Codes
48Linear OA(9133, 378, F9, 54) (dual of [378, 245, 55]-code) [i]
49Linear OA(9132, 377, F9, 54) (dual of [377, 245, 55]-code) [i]
50Linear OA(919, 743, F9, 6) (dual of [743, 724, 7]-code) [i]
51Linear OA(919, 745, F9, 6) (dual of [745, 726, 7]-code) [i]
52Linear OA(918, 741, F9, 6) (dual of [741, 723, 7]-code) [i]
53Linear OA(922, 743, F9, 7) (dual of [743, 721, 8]-code) [i]
54Linear OA(922, 745, F9, 7) (dual of [745, 723, 8]-code) [i]
55Linear OA(921, 741, F9, 7) (dual of [741, 720, 8]-code) [i]
56Linear OA(925, 743, F9, 8) (dual of [743, 718, 9]-code) [i]
57Linear OA(925, 745, F9, 8) (dual of [745, 720, 9]-code) [i]
58Linear OA(924, 741, F9, 8) (dual of [741, 717, 9]-code) [i]
59Linear OA(928, 745, F9, 9) (dual of [745, 717, 10]-code) [i]
60Linear OA(927, 741, F9, 9) (dual of [741, 714, 10]-code) [i]
61Linear OA(938, 746, F9, 13) (dual of [746, 708, 14]-code) [i]
62Linear OA(937, 742, F9, 13) (dual of [742, 705, 14]-code) [i]
63Linear OA(941, 746, F9, 14) (dual of [746, 705, 15]-code) [i]
64Linear OA(939, 741, F9, 14) (dual of [741, 702, 15]-code) [i]
65Linear OA(943, 745, F9, 15) (dual of [745, 702, 16]-code) [i]
66Linear OA(942, 741, F9, 15) (dual of [741, 699, 16]-code) [i]
67Linear OA(946, 745, F9, 16) (dual of [745, 699, 17]-code) [i]
68Linear OA(945, 741, F9, 16) (dual of [741, 696, 17]-code) [i]
69Linear OA(949, 745, F9, 17) (dual of [745, 696, 18]-code) [i]
70Linear OA(948, 741, F9, 17) (dual of [741, 693, 18]-code) [i]
71Linear OA(952, 745, F9, 18) (dual of [745, 693, 19]-code) [i]
72Linear OA(951, 741, F9, 18) (dual of [741, 690, 19]-code) [i]
73Linear OA(962, 746, F9, 22) (dual of [746, 684, 23]-code) [i]
74Linear OA(961, 742, F9, 22) (dual of [742, 681, 23]-code) [i]
75Linear OA(963, 741, F9, 23) (dual of [741, 678, 24]-code) [i]
76Linear OA(967, 745, F9, 24) (dual of [745, 678, 25]-code) [i]
77Linear OA(966, 741, F9, 24) (dual of [741, 675, 25]-code) [i]
78Linear OA(970, 745, F9, 25) (dual of [745, 675, 26]-code) [i]
79Linear OA(969, 741, F9, 25) (dual of [741, 672, 26]-code) [i]
80Linear OA(973, 745, F9, 26) (dual of [745, 672, 27]-code) [i]
81Linear OA(972, 741, F9, 26) (dual of [741, 669, 27]-code) [i]
82Linear OA(976, 745, F9, 27) (dual of [745, 669, 28]-code) [i]
83Linear OA(975, 741, F9, 27) (dual of [741, 666, 28]-code) [i]
84Linear OA(986, 746, F9, 31) (dual of [746, 660, 32]-code) [i]
85Linear OA(985, 742, F9, 31) (dual of [742, 657, 32]-code) [i]
86Linear OA(989, 746, F9, 32) (dual of [746, 657, 33]-code) [i]
87Linear OA(987, 741, F9, 32) (dual of [741, 654, 33]-code) [i]
88Linear OA(991, 745, F9, 33) (dual of [745, 654, 34]-code) [i]
89Linear OA(990, 741, F9, 33) (dual of [741, 651, 34]-code) [i]
90Linear OA(994, 745, F9, 34) (dual of [745, 651, 35]-code) [i]
91Linear OA(993, 741, F9, 34) (dual of [741, 648, 35]-code) [i]
92Linear OA(997, 745, F9, 35) (dual of [745, 648, 36]-code) [i]
93Linear OA(996, 741, F9, 35) (dual of [741, 645, 36]-code) [i]
94Linear OA(9100, 745, F9, 36) (dual of [745, 645, 37]-code) [i]
95Linear OA(999, 741, F9, 36) (dual of [741, 642, 37]-code) [i]
96Linear OA(9110, 746, F9, 40) (dual of [746, 636, 41]-code) [i]
97Linear OA(9109, 742, F9, 40) (dual of [742, 633, 41]-code) [i]
98Linear OA(9111, 741, F9, 41) (dual of [741, 630, 42]-code) [i]
99Linear OA(9115, 745, F9, 42) (dual of [745, 630, 43]-code) [i]
100Linear OA(9114, 741, F9, 42) (dual of [741, 627, 43]-code) [i]
101Linear OA(9118, 745, F9, 43) (dual of [745, 627, 44]-code) [i]
102Linear OA(9117, 741, F9, 43) (dual of [741, 624, 44]-code) [i]
103Linear OA(9121, 745, F9, 44) (dual of [745, 624, 45]-code) [i]
104Linear OA(9120, 741, F9, 44) (dual of [741, 621, 45]-code) [i]
105Linear OA(9124, 745, F9, 45) (dual of [745, 621, 46]-code) [i]
106Linear OA(987, 834, F9, 25) (dual of [834, 747, 26]-code) [i]
107Linear OA(992, 839, F9, 26) (dual of [839, 747, 27]-code) [i]
108Linear OA(991, 834, F9, 26) (dual of [834, 743, 27]-code) [i]
109Linear OA(9100, 834, F9, 29) (dual of [834, 734, 30]-code) [i]
110Linear OA(9103, 834, F9, 30) (dual of [834, 731, 31]-code) [i]
111Linear OA(9107, 834, F9, 31) (dual of [834, 727, 32]-code) [i]
112Linear OA(9108, 839, F9, 31) (dual of [839, 731, 32]-code) [i]
113Linear OA(9128, 834, F9, 38) (dual of [834, 706, 39]-code) [i]
114Linear OA(9132, 834, F9, 39) (dual of [834, 702, 40]-code) [i]
115Linear OA(9136, 834, F9, 40) (dual of [834, 698, 41]-code) [i]
116Linear OA(9140, 834, F9, 41) (dual of [834, 694, 42]-code) [i]
117Linear OA(9144, 835, F9, 42) (dual of [835, 691, 43]-code) [i]
118Linear OA(9147, 834, F9, 43) (dual of [834, 687, 44]-code) [i]
119Linear OA(9122, 4782979, F9, 20) (dual of [4782979, 4782857, 21]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
120Linear OA(9115, 4782979, F9, 19) (dual of [4782979, 4782864, 20]-code) [i]
121Linear OA(966, 4782979, F9, 11) (dual of [4782979, 4782913, 12]-code) [i]
122Linear OA(959, 4782979, F9, 10) (dual of [4782979, 4782920, 11]-code) [i]
123Linear OA(9147, 531451, F9, 28) (dual of [531451, 531304, 29]-code) [i]
124Linear OA(9105, 531451, F9, 20) (dual of [531451, 531346, 21]-code) [i]
125Linear OA(999, 531451, F9, 19) (dual of [531451, 531352, 20]-code) [i]
126Linear OA(957, 531451, F9, 11) (dual of [531451, 531394, 12]-code) [i]
127Linear OA(951, 531451, F9, 10) (dual of [531451, 531400, 11]-code) [i]
128Linear OA(9128, 59059, F9, 29) (dual of [59059, 58931, 30]-code) [i]
129Linear OA(9123, 59059, F9, 28) (dual of [59059, 58936, 29]-code) [i]
130Linear OA(988, 59059, F9, 20) (dual of [59059, 58971, 21]-code) [i]
131Linear OA(983, 59059, F9, 19) (dual of [59059, 58976, 20]-code) [i]
132Linear OA(948, 59059, F9, 11) (dual of [59059, 59011, 12]-code) [i]
133Linear OA(943, 59059, F9, 10) (dual of [59059, 59016, 11]-code) [i]
134Linear OA(9135, 6571, F9, 38) (dual of [6571, 6436, 39]-code) [i]
135Linear OA(9131, 6571, F9, 37) (dual of [6571, 6440, 38]-code) [i]
136Linear OA(9103, 6571, F9, 29) (dual of [6571, 6468, 30]-code) [i]
137Linear OA(999, 6571, F9, 28) (dual of [6571, 6472, 29]-code) [i]
138Linear OA(971, 6571, F9, 20) (dual of [6571, 6500, 21]-code) [i]
139Linear OA(967, 6571, F9, 19) (dual of [6571, 6504, 20]-code) [i]
140Linear OA(939, 6571, F9, 11) (dual of [6571, 6532, 12]-code) [i]
141Linear OA(935, 6571, F9, 10) (dual of [6571, 6536, 11]-code) [i]
142Linear OA(9117, 739, F9, 43) (dual of [739, 622, 44]-code) [i]
143Linear OA(9114, 739, F9, 42) (dual of [739, 625, 43]-code) [i]
144Linear OA(9111, 739, F9, 41) (dual of [739, 628, 42]-code) [i]
145Linear OA(9108, 739, F9, 40) (dual of [739, 631, 41]-code) [i]
146Linear OA(999, 739, F9, 36) (dual of [739, 640, 37]-code) [i]
147Linear OA(996, 739, F9, 35) (dual of [739, 643, 36]-code) [i]
148Linear OA(993, 739, F9, 34) (dual of [739, 646, 35]-code) [i]
149Linear OA(990, 739, F9, 33) (dual of [739, 649, 34]-code) [i]
150Linear OA(987, 739, F9, 32) (dual of [739, 652, 33]-code) [i]
151Linear OA(984, 739, F9, 31) (dual of [739, 655, 32]-code) [i]
152Linear OA(975, 739, F9, 27) (dual of [739, 664, 28]-code) [i]
153Linear OA(972, 739, F9, 26) (dual of [739, 667, 27]-code) [i]
154Linear OA(969, 739, F9, 25) (dual of [739, 670, 26]-code) [i]
155Linear OA(966, 739, F9, 24) (dual of [739, 673, 25]-code) [i]
156Linear OA(963, 739, F9, 23) (dual of [739, 676, 24]-code) [i]
157Linear OA(960, 739, F9, 22) (dual of [739, 679, 23]-code) [i]
158Linear OA(951, 739, F9, 18) (dual of [739, 688, 19]-code) [i]
159Linear OA(948, 739, F9, 17) (dual of [739, 691, 18]-code) [i]
160Linear OA(945, 739, F9, 16) (dual of [739, 694, 17]-code) [i]
161Linear OA(942, 739, F9, 15) (dual of [739, 697, 16]-code) [i]
162Linear OA(939, 739, F9, 14) (dual of [739, 700, 15]-code) [i]
163Linear OA(936, 739, F9, 13) (dual of [739, 703, 14]-code) [i]
164Linear OA(927, 739, F9, 9) (dual of [739, 712, 10]-code) [i]
165Linear OA(924, 739, F9, 8) (dual of [739, 715, 9]-code) [i]
166Linear OA(918, 739, F9, 6) (dual of [739, 721, 7]-code) [i]
167Linear OA(9141, 375, F9, 58) (dual of [375, 234, 59]-code) [i]
168Linear OA(9132, 375, F9, 54) (dual of [375, 243, 55]-code) [i]
169Linear OA(9123, 375, F9, 50) (dual of [375, 252, 51]-code) [i]
170Linear OA(9120, 375, F9, 49) (dual of [375, 255, 50]-code) [i]