Information on Result #606458

Linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), using Reed–Solomon code RS(45,49)

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 OA(4953, 2420, F49, 19) (dual of [2420, 2367, 20]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(497, 52, F49, 6) (dual of [52, 45, 7]-code) [i]✔Construction X with Reed–Solomon Codes
3Linear OA(499, 54, F49, 7) (dual of [54, 45, 8]-code) [i]✔
4Linear OA(4911, 56, F49, 8) (dual of [56, 45, 9]-code) [i]✔
5Linear OA(4952, 58, F49, 48) (dual of [58, 6, 49]-code) [i]
6Linear OA(4951, 58, F49, 47) (dual of [58, 7, 48]-code) [i]
7Linear OA(4950, 58, F49, 46) (dual of [58, 8, 47]-code) [i]
8Linear OA(4949, 58, F49, 45) (dual of [58, 9, 46]-code) [i]
9Linear OA(4948, 58, F49, 44) (dual of [58, 10, 45]-code) [i]
10Linear OA(4947, 58, F49, 43) (dual of [58, 11, 44]-code) [i]
11Linear OA(4946, 58, F49, 42) (dual of [58, 12, 43]-code) [i]
12Linear OA(4945, 58, F49, 41) (dual of [58, 13, 42]-code) [i]
13Linear OA(4944, 58, F49, 40) (dual of [58, 14, 41]-code) [i]
14Linear OA(4943, 58, F49, 39) (dual of [58, 15, 40]-code) [i]
15Linear OA(4942, 58, F49, 38) (dual of [58, 16, 39]-code) [i]
16Linear OA(4941, 58, F49, 37) (dual of [58, 17, 38]-code) [i]
17Linear OA(4940, 58, F49, 36) (dual of [58, 18, 37]-code) [i]
18Linear OA(4939, 58, F49, 35) (dual of [58, 19, 36]-code) [i]
19Linear OA(4938, 58, F49, 34) (dual of [58, 20, 35]-code) [i]
20Linear OA(4937, 58, F49, 33) (dual of [58, 21, 34]-code) [i]
21Linear OA(4936, 58, F49, 32) (dual of [58, 22, 33]-code) [i]
22Linear OA(4935, 58, F49, 31) (dual of [58, 23, 32]-code) [i]
23Linear OA(4934, 58, F49, 30) (dual of [58, 24, 31]-code) [i]
24Linear OA(4933, 58, F49, 29) (dual of [58, 25, 30]-code) [i]
25Linear OA(4932, 58, F49, 28) (dual of [58, 26, 29]-code) [i]
26Linear OA(4931, 58, F49, 27) (dual of [58, 27, 28]-code) [i]
27Linear OA(4930, 58, F49, 26) (dual of [58, 28, 27]-code) [i]
28Linear OA(4929, 58, F49, 25) (dual of [58, 29, 26]-code) [i]
29Linear OA(4928, 58, F49, 24) (dual of [58, 30, 25]-code) [i]
30Linear OA(4927, 58, F49, 23) (dual of [58, 31, 24]-code) [i]
31Linear OA(4926, 58, F49, 22) (dual of [58, 32, 23]-code) [i]
32Linear OA(4925, 58, F49, 21) (dual of [58, 33, 22]-code) [i]
33Linear OA(4924, 58, F49, 20) (dual of [58, 34, 21]-code) [i]
34Linear OA(4923, 58, F49, 19) (dual of [58, 35, 20]-code) [i]
35Linear OA(4922, 58, F49, 18) (dual of [58, 36, 19]-code) [i]
36Linear OA(4921, 58, F49, 17) (dual of [58, 37, 18]-code) [i]
37Linear OA(4920, 58, F49, 16) (dual of [58, 38, 17]-code) [i]
38Linear OA(4919, 58, F49, 15) (dual of [58, 39, 16]-code) [i]
39Linear OA(4918, 58, F49, 14) (dual of [58, 40, 15]-code) [i]
40Linear OA(4917, 58, F49, 13) (dual of [58, 41, 14]-code) [i]
41Linear OA(4916, 58, F49, 12) (dual of [58, 42, 13]-code) [i]
42Linear OA(4915, 58, F49, 11) (dual of [58, 43, 12]-code) [i]
43Linear OA(4914, 58, F49, 10) (dual of [58, 44, 11]-code) [i]
44Linear OA(4955, 352, F49, 30) (dual of [352, 297, 31]-code) [i]Construction X with Algebraic-Geometric Codes
45Linear OA(4954, 352, F49, 29) (dual of [352, 298, 30]-code) [i]
46Linear OA(4953, 59, F49, 49) (dual of [59, 6, 50]-code) [i]
47Linear OA(4948, 59, F49, 44) (dual of [59, 11, 45]-code) [i]
48Linear OA(4943, 59, F49, 39) (dual of [59, 16, 40]-code) [i]
49Linear OA(4938, 59, F49, 34) (dual of [59, 21, 35]-code) [i]
50Linear OA(4933, 59, F49, 29) (dual of [59, 26, 30]-code) [i]
51Linear OA(4928, 59, F49, 24) (dual of [59, 31, 25]-code) [i]
52Linear OA(4923, 59, F49, 19) (dual of [59, 36, 20]-code) [i]
53Linear OA(4918, 59, F49, 14) (dual of [59, 41, 15]-code) [i]
54Linear OA(4951, 59, F49, 47) (dual of [59, 8, 48]-code) [i]
55Linear OA(4946, 59, F49, 42) (dual of [59, 13, 43]-code) [i]
56Linear OA(4941, 59, F49, 37) (dual of [59, 18, 38]-code) [i]
57Linear OA(4936, 59, F49, 32) (dual of [59, 23, 33]-code) [i]
58Linear OA(4931, 59, F49, 27) (dual of [59, 28, 28]-code) [i]
59Linear OA(4926, 59, F49, 22) (dual of [59, 33, 23]-code) [i]
60Linear OA(4921, 59, F49, 17) (dual of [59, 38, 18]-code) [i]
61Linear OA(4916, 59, F49, 12) (dual of [59, 43, 13]-code) [i]
62Linear OA(4950, 59, F49, 46) (dual of [59, 9, 47]-code) [i]
63Linear OA(4945, 59, F49, 41) (dual of [59, 14, 42]-code) [i]
64Linear OA(4940, 59, F49, 36) (dual of [59, 19, 37]-code) [i]
65Linear OA(4935, 59, F49, 31) (dual of [59, 24, 32]-code) [i]
66Linear OA(4930, 59, F49, 26) (dual of [59, 29, 27]-code) [i]
67Linear OA(4925, 59, F49, 21) (dual of [59, 34, 22]-code) [i]
68Linear OA(4920, 59, F49, 16) (dual of [59, 39, 17]-code) [i]
69Linear OA(4915, 59, F49, 11) (dual of [59, 44, 12]-code) [i]
70Linear OA(4949, 59, F49, 45) (dual of [59, 10, 46]-code) [i]
71Linear OA(4944, 59, F49, 40) (dual of [59, 15, 41]-code) [i]
72Linear OA(4939, 59, F49, 35) (dual of [59, 20, 36]-code) [i]
73Linear OA(4934, 59, F49, 30) (dual of [59, 25, 31]-code) [i]
74Linear OA(4929, 59, F49, 25) (dual of [59, 30, 26]-code) [i]
75Linear OA(4924, 59, F49, 20) (dual of [59, 35, 21]-code) [i]
76Linear OA(4919, 59, F49, 15) (dual of [59, 40, 16]-code) [i]
77Linear OA(4914, 59, F49, 10) (dual of [59, 45, 11]-code) [i]
78Linear OA(4947, 59, F49, 43) (dual of [59, 12, 44]-code) [i]
79Linear OA(4942, 59, F49, 38) (dual of [59, 17, 39]-code) [i]
80Linear OA(4937, 59, F49, 33) (dual of [59, 22, 34]-code) [i]
81Linear OA(4932, 59, F49, 28) (dual of [59, 27, 29]-code) [i]
82Linear OA(4927, 59, F49, 23) (dual of [59, 32, 24]-code) [i]
83Linear OA(4922, 59, F49, 18) (dual of [59, 37, 19]-code) [i]
84Linear OA(4917, 59, F49, 13) (dual of [59, 42, 14]-code) [i]
85Linear OA(4955, 100, F49, 48) (dual of [100, 45, 49]-code) [i]
86Linear OA(4954, 100, F49, 47) (dual of [100, 46, 48]-code) [i]
87Linear OA(4953, 100, F49, 46) (dual of [100, 47, 47]-code) [i]
88Linear OA(4952, 100, F49, 45) (dual of [100, 48, 46]-code) [i]
89Linear OA(4951, 100, F49, 44) (dual of [100, 49, 45]-code) [i]
90Linear OA(4950, 100, F49, 43) (dual of [100, 50, 44]-code) [i]
91Linear OA(4949, 100, F49, 42) (dual of [100, 51, 43]-code) [i]
92Linear OA(4948, 100, F49, 41) (dual of [100, 52, 42]-code) [i]
93Linear OA(4947, 100, F49, 40) (dual of [100, 53, 41]-code) [i]
94Linear OA(4946, 100, F49, 39) (dual of [100, 54, 40]-code) [i]
95Linear OA(4945, 100, F49, 38) (dual of [100, 55, 39]-code) [i]
96Linear OA(4944, 100, F49, 37) (dual of [100, 56, 38]-code) [i]
97Linear OA(4943, 100, F49, 36) (dual of [100, 57, 37]-code) [i]
98Linear OA(4942, 100, F49, 35) (dual of [100, 58, 36]-code) [i]
99Linear OA(4941, 100, F49, 34) (dual of [100, 59, 35]-code) [i]
100Linear OA(4940, 100, F49, 33) (dual of [100, 60, 34]-code) [i]
101Linear OA(4939, 100, F49, 32) (dual of [100, 61, 33]-code) [i]
102Linear OA(4938, 100, F49, 31) (dual of [100, 62, 32]-code) [i]
103Linear OA(4937, 100, F49, 30) (dual of [100, 63, 31]-code) [i]
104Linear OA(4936, 100, F49, 29) (dual of [100, 64, 30]-code) [i]
105Linear OA(4935, 100, F49, 28) (dual of [100, 65, 29]-code) [i]
106Linear OA(4934, 100, F49, 27) (dual of [100, 66, 28]-code) [i]
107Linear OA(4933, 100, F49, 26) (dual of [100, 67, 27]-code) [i]
108Linear OA(4932, 100, F49, 25) (dual of [100, 68, 26]-code) [i]
109Linear OA(4931, 100, F49, 24) (dual of [100, 69, 25]-code) [i]
110Linear OA(4930, 100, F49, 23) (dual of [100, 70, 24]-code) [i]
111Linear OA(4929, 100, F49, 22) (dual of [100, 71, 23]-code) [i]
112Linear OA(4928, 100, F49, 21) (dual of [100, 72, 22]-code) [i]
113Linear OA(4927, 100, F49, 20) (dual of [100, 73, 21]-code) [i]
114Linear OA(4926, 100, F49, 19) (dual of [100, 74, 20]-code) [i]
115Linear OA(4925, 100, F49, 18) (dual of [100, 75, 19]-code) [i]
116Linear OA(4924, 100, F49, 17) (dual of [100, 76, 18]-code) [i]
117Linear OA(4923, 100, F49, 16) (dual of [100, 77, 17]-code) [i]
118Linear OA(4937, 2413, F49, 14) (dual of [2413, 2376, 15]-code) [i](u, u−v, u+v+w)-Construction
119Linear OA(4950, 117661, F49, 14) (dual of [117661, 117611, 15]-code) [i]
120Linear OA(4949, 112, F49, 30) (dual of [112, 63, 31]-code) [i]Construction X with Cyclic Codes
121Linear OA(4953, 5764825, F49, 13) (dual of [5764825, 5764772, 14]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
122Linear OA(4949, 5764825, F49, 12) (dual of [5764825, 5764776, 13]-code) [i]
123Linear OA(4945, 5764825, F49, 11) (dual of [5764825, 5764780, 12]-code) [i]
124Linear OA(4941, 5764825, F49, 10) (dual of [5764825, 5764784, 11]-code) [i]
125Linear OA(4953, 117668, F49, 17) (dual of [117668, 117615, 18]-code) [i]
126Linear OA(4950, 117668, F49, 16) (dual of [117668, 117618, 17]-code) [i]
127Linear OA(4947, 117668, F49, 15) (dual of [117668, 117621, 16]-code) [i]
128Linear OA(4944, 117668, F49, 14) (dual of [117668, 117624, 15]-code) [i]
129Linear OA(4941, 117668, F49, 13) (dual of [117668, 117627, 14]-code) [i]
130Linear OA(4938, 117668, F49, 12) (dual of [117668, 117630, 13]-code) [i]
131Linear OA(4935, 117668, F49, 11) (dual of [117668, 117633, 12]-code) [i]
132Linear OA(4932, 117668, F49, 10) (dual of [117668, 117636, 11]-code) [i]
133Linear OA(4955, 2415, F49, 26) (dual of [2415, 2360, 27]-code) [i]
134Linear OA(4953, 2415, F49, 25) (dual of [2415, 2362, 26]-code) [i]
135Linear OA(4951, 2415, F49, 24) (dual of [2415, 2364, 25]-code) [i]
136Linear OA(4949, 2415, F49, 23) (dual of [2415, 2366, 24]-code) [i]
137Linear OA(4947, 2415, F49, 22) (dual of [2415, 2368, 23]-code) [i]
138Linear OA(4945, 2415, F49, 21) (dual of [2415, 2370, 22]-code) [i]
139Linear OA(4943, 2415, F49, 20) (dual of [2415, 2372, 21]-code) [i]
140Linear OA(4941, 2415, F49, 19) (dual of [2415, 2374, 20]-code) [i]
141Linear OA(4939, 2415, F49, 18) (dual of [2415, 2376, 19]-code) [i]
142Linear OA(4937, 2415, F49, 17) (dual of [2415, 2378, 18]-code) [i]
143Linear OA(4935, 2415, F49, 16) (dual of [2415, 2380, 17]-code) [i]
144Linear OA(4933, 2415, F49, 15) (dual of [2415, 2382, 16]-code) [i]
145Linear OA(4931, 2415, F49, 14) (dual of [2415, 2384, 15]-code) [i]
146Linear OA(4929, 2415, F49, 13) (dual of [2415, 2386, 14]-code) [i]
147Linear OA(4927, 2415, F49, 12) (dual of [2415, 2388, 13]-code) [i]
148Linear OA(4925, 2415, F49, 11) (dual of [2415, 2390, 12]-code) [i]
149Linear OA(4923, 2415, F49, 10) (dual of [2415, 2392, 11]-code) [i]