Information on Result #606456
Linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using Reed–Solomon code RS(47,49)
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4940, 117662, F49, 11) (dual of [117662, 117622, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(4950, 5764814, F49, 11) (dual of [5764814, 5764764, 12]-code) | [i] | ||
| 3 | Linear OA(4950, 54, F49, 48) (dual of [54, 4, 49]-code) | [i] | Construction X with Reed–Solomon Codes | |
| 4 | Linear OA(4949, 54, F49, 47) (dual of [54, 5, 48]-code) | [i] | ||
| 5 | Linear OA(4948, 54, F49, 46) (dual of [54, 6, 47]-code) | [i] | ||
| 6 | Linear OA(4947, 54, F49, 45) (dual of [54, 7, 46]-code) | [i] | ||
| 7 | Linear OA(4946, 54, F49, 44) (dual of [54, 8, 45]-code) | [i] | ||
| 8 | Linear OA(4945, 54, F49, 43) (dual of [54, 9, 44]-code) | [i] | ||
| 9 | Linear OA(4944, 54, F49, 42) (dual of [54, 10, 43]-code) | [i] | ||
| 10 | Linear OA(4943, 54, F49, 41) (dual of [54, 11, 42]-code) | [i] | ||
| 11 | Linear OA(4942, 54, F49, 40) (dual of [54, 12, 41]-code) | [i] | ||
| 12 | Linear OA(4941, 54, F49, 39) (dual of [54, 13, 40]-code) | [i] | ||
| 13 | Linear OA(4940, 54, F49, 38) (dual of [54, 14, 39]-code) | [i] | ||
| 14 | Linear OA(4939, 54, F49, 37) (dual of [54, 15, 38]-code) | [i] | ||
| 15 | Linear OA(4938, 54, F49, 36) (dual of [54, 16, 37]-code) | [i] | ||
| 16 | Linear OA(4937, 54, F49, 35) (dual of [54, 17, 36]-code) | [i] | ||
| 17 | Linear OA(4936, 54, F49, 34) (dual of [54, 18, 35]-code) | [i] | ||
| 18 | Linear OA(4935, 54, F49, 33) (dual of [54, 19, 34]-code) | [i] | ||
| 19 | Linear OA(4934, 54, F49, 32) (dual of [54, 20, 33]-code) | [i] | ||
| 20 | Linear OA(4933, 54, F49, 31) (dual of [54, 21, 32]-code) | [i] | ||
| 21 | Linear OA(4932, 54, F49, 30) (dual of [54, 22, 31]-code) | [i] | ||
| 22 | Linear OA(4931, 54, F49, 29) (dual of [54, 23, 30]-code) | [i] | ||
| 23 | Linear OA(4930, 54, F49, 28) (dual of [54, 24, 29]-code) | [i] | ||
| 24 | Linear OA(4929, 54, F49, 27) (dual of [54, 25, 28]-code) | [i] | ||
| 25 | Linear OA(4928, 54, F49, 26) (dual of [54, 26, 27]-code) | [i] | ||
| 26 | Linear OA(4927, 54, F49, 25) (dual of [54, 27, 26]-code) | [i] | ||
| 27 | Linear OA(4926, 54, F49, 24) (dual of [54, 28, 25]-code) | [i] | ||
| 28 | Linear OA(4925, 54, F49, 23) (dual of [54, 29, 24]-code) | [i] | ||
| 29 | Linear OA(4924, 54, F49, 22) (dual of [54, 30, 23]-code) | [i] | ||
| 30 | Linear OA(4923, 54, F49, 21) (dual of [54, 31, 22]-code) | [i] | ||
| 31 | Linear OA(4922, 54, F49, 20) (dual of [54, 32, 21]-code) | [i] | ||
| 32 | Linear OA(4921, 54, F49, 19) (dual of [54, 33, 20]-code) | [i] | ||
| 33 | Linear OA(4920, 54, F49, 18) (dual of [54, 34, 19]-code) | [i] | ||
| 34 | Linear OA(4919, 54, F49, 17) (dual of [54, 35, 18]-code) | [i] | ||
| 35 | Linear OA(4918, 54, F49, 16) (dual of [54, 36, 17]-code) | [i] | ||
| 36 | Linear OA(4917, 54, F49, 15) (dual of [54, 37, 16]-code) | [i] | ||
| 37 | Linear OA(4916, 54, F49, 14) (dual of [54, 38, 15]-code) | [i] | ||
| 38 | Linear OA(4915, 54, F49, 13) (dual of [54, 39, 14]-code) | [i] | ||
| 39 | Linear OA(4914, 54, F49, 12) (dual of [54, 40, 13]-code) | [i] | ||
| 40 | Linear OA(4913, 54, F49, 11) (dual of [54, 41, 12]-code) | [i] | ||
| 41 | Linear OA(4912, 54, F49, 10) (dual of [54, 42, 11]-code) | [i] | ||
| 42 | Linear OA(4911, 54, F49, 9) (dual of [54, 43, 10]-code) | [i] | ||
| 43 | Linear OA(4910, 54, F49, 8) (dual of [54, 44, 9]-code) | [i] | ||
| 44 | Linear OA(499, 54, F49, 7) (dual of [54, 45, 8]-code) | [i] | ||
| 45 | Linear OA(498, 54, F49, 6) (dual of [54, 46, 7]-code) | [i] | ||
| 46 | Linear OA(4955, 348, F49, 32) (dual of [348, 293, 33]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 47 | Linear OA(4954, 348, F49, 31) (dual of [348, 294, 32]-code) | [i] | ||
| 48 | Linear OA(4953, 348, F49, 30) (dual of [348, 295, 31]-code) | [i] | ||
| 49 | Linear OA(4952, 348, F49, 29) (dual of [348, 296, 30]-code) | [i] | ||
| 50 | Linear OA(4951, 348, F49, 28) (dual of [348, 297, 29]-code) | [i] | ||
| 51 | Linear OA(4950, 348, F49, 27) (dual of [348, 298, 28]-code) | [i] | ||
| 52 | Linear OA(4951, 55, F49, 49) (dual of [55, 4, 50]-code) | [i] | ||
| 53 | Linear OA(4948, 55, F49, 46) (dual of [55, 7, 47]-code) | [i] | ||
| 54 | Linear OA(4945, 55, F49, 43) (dual of [55, 10, 44]-code) | [i] | ||
| 55 | Linear OA(4942, 55, F49, 40) (dual of [55, 13, 41]-code) | [i] | ||
| 56 | Linear OA(4939, 55, F49, 37) (dual of [55, 16, 38]-code) | [i] | ||
| 57 | Linear OA(4936, 55, F49, 34) (dual of [55, 19, 35]-code) | [i] | ||
| 58 | Linear OA(4933, 55, F49, 31) (dual of [55, 22, 32]-code) | [i] | ||
| 59 | Linear OA(4930, 55, F49, 28) (dual of [55, 25, 29]-code) | [i] | ||
| 60 | Linear OA(4927, 55, F49, 25) (dual of [55, 28, 26]-code) | [i] | ||
| 61 | Linear OA(4924, 55, F49, 22) (dual of [55, 31, 23]-code) | [i] | ||
| 62 | Linear OA(4921, 55, F49, 19) (dual of [55, 34, 20]-code) | [i] | ||
| 63 | Linear OA(4918, 55, F49, 16) (dual of [55, 37, 17]-code) | [i] | ||
| 64 | Linear OA(4915, 55, F49, 13) (dual of [55, 40, 14]-code) | [i] | ||
| 65 | Linear OA(4912, 55, F49, 10) (dual of [55, 43, 11]-code) | [i] | ||
| 66 | Linear OA(499, 55, F49, 7) (dual of [55, 46, 8]-code) | [i] | ||
| 67 | Linear OA(4949, 55, F49, 47) (dual of [55, 6, 48]-code) | [i] | ||
| 68 | Linear OA(4946, 55, F49, 44) (dual of [55, 9, 45]-code) | [i] | ||
| 69 | Linear OA(4943, 55, F49, 41) (dual of [55, 12, 42]-code) | [i] | ||
| 70 | Linear OA(4940, 55, F49, 38) (dual of [55, 15, 39]-code) | [i] | ||
| 71 | Linear OA(4937, 55, F49, 35) (dual of [55, 18, 36]-code) | [i] | ||
| 72 | Linear OA(4934, 55, F49, 32) (dual of [55, 21, 33]-code) | [i] | ||
| 73 | Linear OA(4931, 55, F49, 29) (dual of [55, 24, 30]-code) | [i] | ||
| 74 | Linear OA(4928, 55, F49, 26) (dual of [55, 27, 27]-code) | [i] | ||
| 75 | Linear OA(4925, 55, F49, 23) (dual of [55, 30, 24]-code) | [i] | ||
| 76 | Linear OA(4922, 55, F49, 20) (dual of [55, 33, 21]-code) | [i] | ||
| 77 | Linear OA(4919, 55, F49, 17) (dual of [55, 36, 18]-code) | [i] | ||
| 78 | Linear OA(4916, 55, F49, 14) (dual of [55, 39, 15]-code) | [i] | ||
| 79 | Linear OA(4913, 55, F49, 11) (dual of [55, 42, 12]-code) | [i] | ||
| 80 | Linear OA(4910, 55, F49, 8) (dual of [55, 45, 9]-code) | [i] | ||
| 81 | Linear OA(4947, 55, F49, 45) (dual of [55, 8, 46]-code) | [i] | ||
| 82 | Linear OA(4944, 55, F49, 42) (dual of [55, 11, 43]-code) | [i] | ||
| 83 | Linear OA(4941, 55, F49, 39) (dual of [55, 14, 40]-code) | [i] | ||
| 84 | Linear OA(4938, 55, F49, 36) (dual of [55, 17, 37]-code) | [i] | ||
| 85 | Linear OA(4935, 55, F49, 33) (dual of [55, 20, 34]-code) | [i] | ||
| 86 | Linear OA(4932, 55, F49, 30) (dual of [55, 23, 31]-code) | [i] | ||
| 87 | Linear OA(4929, 55, F49, 27) (dual of [55, 26, 28]-code) | [i] | ||
| 88 | Linear OA(4926, 55, F49, 24) (dual of [55, 29, 25]-code) | [i] | ||
| 89 | Linear OA(4923, 55, F49, 21) (dual of [55, 32, 22]-code) | [i] | ||
| 90 | Linear OA(4920, 55, F49, 18) (dual of [55, 35, 19]-code) | [i] | ||
| 91 | Linear OA(4917, 55, F49, 15) (dual of [55, 38, 16]-code) | [i] | ||
| 92 | Linear OA(4914, 55, F49, 12) (dual of [55, 41, 13]-code) | [i] | ||
| 93 | Linear OA(4911, 55, F49, 9) (dual of [55, 44, 10]-code) | [i] | ||
| 94 | Linear OA(498, 55, F49, 6) (dual of [55, 47, 7]-code) | [i] | ||
| 95 | Linear OA(4955, 96, F49, 50) (dual of [96, 41, 51]-code) | [i] | ||
| 96 | Linear OA(4954, 96, F49, 49) (dual of [96, 42, 50]-code) | [i] | ||
| 97 | Linear OA(4953, 96, F49, 48) (dual of [96, 43, 49]-code) | [i] | ||
| 98 | Linear OA(4952, 96, F49, 47) (dual of [96, 44, 48]-code) | [i] | ||
| 99 | Linear OA(4951, 96, F49, 46) (dual of [96, 45, 47]-code) | [i] | ||
| 100 | Linear OA(4950, 96, F49, 45) (dual of [96, 46, 46]-code) | [i] | ||
| 101 | Linear OA(4949, 96, F49, 44) (dual of [96, 47, 45]-code) | [i] | ||
| 102 | Linear OA(4948, 96, F49, 43) (dual of [96, 48, 44]-code) | [i] | ||
| 103 | Linear OA(4947, 96, F49, 42) (dual of [96, 49, 43]-code) | [i] | ||
| 104 | Linear OA(4946, 96, F49, 41) (dual of [96, 50, 42]-code) | [i] | ||
| 105 | Linear OA(4945, 96, F49, 40) (dual of [96, 51, 41]-code) | [i] | ||
| 106 | Linear OA(4944, 96, F49, 39) (dual of [96, 52, 40]-code) | [i] | ||
| 107 | Linear OA(4943, 96, F49, 38) (dual of [96, 53, 39]-code) | [i] | ||
| 108 | Linear OA(4942, 96, F49, 37) (dual of [96, 54, 38]-code) | [i] | ||
| 109 | Linear OA(4941, 96, F49, 36) (dual of [96, 55, 37]-code) | [i] | ||
| 110 | Linear OA(4940, 96, F49, 35) (dual of [96, 56, 36]-code) | [i] | ||
| 111 | Linear OA(4939, 96, F49, 34) (dual of [96, 57, 35]-code) | [i] | ||
| 112 | Linear OA(4938, 96, F49, 33) (dual of [96, 58, 34]-code) | [i] | ||
| 113 | Linear OA(4937, 96, F49, 32) (dual of [96, 59, 33]-code) | [i] | ||
| 114 | Linear OA(4936, 96, F49, 31) (dual of [96, 60, 32]-code) | [i] | ||
| 115 | Linear OA(4935, 96, F49, 30) (dual of [96, 61, 31]-code) | [i] | ||
| 116 | Linear OA(4934, 96, F49, 29) (dual of [96, 62, 30]-code) | [i] | ||
| 117 | Linear OA(4933, 96, F49, 28) (dual of [96, 63, 29]-code) | [i] | ||
| 118 | Linear OA(4932, 96, F49, 27) (dual of [96, 64, 28]-code) | [i] | ||
| 119 | Linear OA(4931, 96, F49, 26) (dual of [96, 65, 27]-code) | [i] | ||
| 120 | Linear OA(4930, 96, F49, 25) (dual of [96, 66, 26]-code) | [i] | ||
| 121 | Linear OA(4929, 96, F49, 24) (dual of [96, 67, 25]-code) | [i] | ||
| 122 | Linear OA(4928, 96, F49, 23) (dual of [96, 68, 24]-code) | [i] | ||
| 123 | Linear OA(4927, 96, F49, 22) (dual of [96, 69, 23]-code) | [i] | ||
| 124 | Linear OA(4926, 96, F49, 21) (dual of [96, 70, 22]-code) | [i] | ||
| 125 | Linear OA(4925, 96, F49, 20) (dual of [96, 71, 21]-code) | [i] | ||
| 126 | Linear OA(4924, 96, F49, 19) (dual of [96, 72, 20]-code) | [i] | ||
| 127 | Linear OA(4923, 96, F49, 18) (dual of [96, 73, 19]-code) | [i] | ||
| 128 | Linear OA(4922, 96, F49, 17) (dual of [96, 74, 18]-code) | [i] | ||
| 129 | Linear OA(4921, 96, F49, 16) (dual of [96, 75, 17]-code) | [i] | ||
| 130 | Linear OA(4920, 96, F49, 15) (dual of [96, 76, 16]-code) | [i] | ||
| 131 | Linear OA(4919, 96, F49, 14) (dual of [96, 77, 15]-code) | [i] | ||
| 132 | Linear OA(4918, 96, F49, 13) (dual of [96, 78, 14]-code) | [i] | ||
| 133 | Linear OA(4917, 96, F49, 12) (dual of [96, 79, 13]-code) | [i] | ||
| 134 | Linear OA(4955, 2412, F49, 26) (dual of [2412, 2357, 27]-code) | [i] | Construction X with Cyclic Codes | |
| 135 | Linear OA(4946, 111, F49, 28) (dual of [111, 65, 29]-code) | [i] | Construction XX with Cyclic Codes | |
| 136 | Linear OA(4952, 111, F49, 32) (dual of [111, 59, 33]-code) | [i] | ||
| 137 | Linear OA(4955, 5764815, F49, 14) (dual of [5764815, 5764760, 15]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 138 | Linear OA(4951, 5764815, F49, 13) (dual of [5764815, 5764764, 14]-code) | [i] | ||
| 139 | Linear OA(4947, 5764815, F49, 12) (dual of [5764815, 5764768, 13]-code) | [i] | ||
| 140 | Linear OA(4943, 5764815, F49, 11) (dual of [5764815, 5764772, 12]-code) | [i] | ||
| 141 | Linear OA(4939, 5764815, F49, 10) (dual of [5764815, 5764776, 11]-code) | [i] | ||
| 142 | Linear OA(4935, 5764815, F49, 9) (dual of [5764815, 5764780, 10]-code) | [i] | ||
| 143 | Linear OA(4931, 5764815, F49, 8) (dual of [5764815, 5764784, 9]-code) | [i] | ||
| 144 | Linear OA(4927, 5764815, F49, 7) (dual of [5764815, 5764788, 8]-code) | [i] | ||
| 145 | Linear OA(4923, 5764815, F49, 6) (dual of [5764815, 5764792, 7]-code) | [i] | ||
| 146 | Linear OA(4954, 117660, F49, 18) (dual of [117660, 117606, 19]-code) | [i] | ||
| 147 | Linear OA(4951, 117660, F49, 17) (dual of [117660, 117609, 18]-code) | [i] | ||
| 148 | Linear OA(4948, 117660, F49, 16) (dual of [117660, 117612, 17]-code) | [i] | ||
| 149 | Linear OA(4945, 117660, F49, 15) (dual of [117660, 117615, 16]-code) | [i] | ||
| 150 | Linear OA(4942, 117660, F49, 14) (dual of [117660, 117618, 15]-code) | [i] | ||
| 151 | Linear OA(4939, 117660, F49, 13) (dual of [117660, 117621, 14]-code) | [i] | ||
| 152 | Linear OA(4936, 117660, F49, 12) (dual of [117660, 117624, 13]-code) | [i] | ||
| 153 | Linear OA(4933, 117660, F49, 11) (dual of [117660, 117627, 12]-code) | [i] | ||
| 154 | Linear OA(4930, 117660, F49, 10) (dual of [117660, 117630, 11]-code) | [i] | ||
| 155 | Linear OA(4927, 117660, F49, 9) (dual of [117660, 117633, 10]-code) | [i] | ||
| 156 | Linear OA(4924, 117660, F49, 8) (dual of [117660, 117636, 9]-code) | [i] | ||
| 157 | Linear OA(4921, 117660, F49, 7) (dual of [117660, 117639, 8]-code) | [i] | ||
| 158 | Linear OA(4918, 117660, F49, 6) (dual of [117660, 117642, 7]-code) | [i] | ||
| 159 | Linear OA(4955, 2409, F49, 27) (dual of [2409, 2354, 28]-code) | [i] | ||
| 160 | Linear OA(4953, 2409, F49, 26) (dual of [2409, 2356, 27]-code) | [i] | ||
| 161 | Linear OA(4951, 2409, F49, 25) (dual of [2409, 2358, 26]-code) | [i] | ||
| 162 | Linear OA(4949, 2409, F49, 24) (dual of [2409, 2360, 25]-code) | [i] | ||
| 163 | Linear OA(4947, 2409, F49, 23) (dual of [2409, 2362, 24]-code) | [i] | ||
| 164 | Linear OA(4945, 2409, F49, 22) (dual of [2409, 2364, 23]-code) | [i] | ||
| 165 | Linear OA(4943, 2409, F49, 21) (dual of [2409, 2366, 22]-code) | [i] | ||
| 166 | Linear OA(4941, 2409, F49, 20) (dual of [2409, 2368, 21]-code) | [i] | ||
| 167 | Linear OA(4939, 2409, F49, 19) (dual of [2409, 2370, 20]-code) | [i] | ||
| 168 | Linear OA(4937, 2409, F49, 18) (dual of [2409, 2372, 19]-code) | [i] | ||
| 169 | Linear OA(4935, 2409, F49, 17) (dual of [2409, 2374, 18]-code) | [i] | ||
| 170 | Linear OA(4933, 2409, F49, 16) (dual of [2409, 2376, 17]-code) | [i] | ||
| 171 | Linear OA(4931, 2409, F49, 15) (dual of [2409, 2378, 16]-code) | [i] | ||
| 172 | Linear OA(4929, 2409, F49, 14) (dual of [2409, 2380, 15]-code) | [i] | ||
| 173 | Linear OA(4927, 2409, F49, 13) (dual of [2409, 2382, 14]-code) | [i] | ||
| 174 | Linear OA(4925, 2409, F49, 12) (dual of [2409, 2384, 13]-code) | [i] | ||
| 175 | Linear OA(4923, 2409, F49, 11) (dual of [2409, 2386, 12]-code) | [i] | ||
| 176 | Linear OA(4921, 2409, F49, 10) (dual of [2409, 2388, 11]-code) | [i] | ||
| 177 | Linear OA(4919, 2409, F49, 9) (dual of [2409, 2390, 10]-code) | [i] | ||
| 178 | Linear OA(4917, 2409, F49, 8) (dual of [2409, 2392, 9]-code) | [i] | ||
| 179 | Linear OA(4915, 2409, F49, 7) (dual of [2409, 2394, 8]-code) | [i] | ||
| 180 | Linear OA(4913, 2409, F49, 6) (dual of [2409, 2396, 7]-code) | [i] | ||