Information on Result #606457
Linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using Reed–Solomon code RS(46,49)
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(4952, 117664, F49, 14) (dual of [117664, 117612, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(498, 54, F49, 6) (dual of [54, 46, 7]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 3 | Linear OA(4951, 56, F49, 48) (dual of [56, 5, 49]-code) | [i] | ||
| 4 | Linear OA(4950, 56, F49, 47) (dual of [56, 6, 48]-code) | [i] | ||
| 5 | Linear OA(4949, 56, F49, 46) (dual of [56, 7, 47]-code) | [i] | ||
| 6 | Linear OA(4948, 56, F49, 45) (dual of [56, 8, 46]-code) | [i] | ||
| 7 | Linear OA(4947, 56, F49, 44) (dual of [56, 9, 45]-code) | [i] | ||
| 8 | Linear OA(4946, 56, F49, 43) (dual of [56, 10, 44]-code) | [i] | ||
| 9 | Linear OA(4945, 56, F49, 42) (dual of [56, 11, 43]-code) | [i] | ||
| 10 | Linear OA(4944, 56, F49, 41) (dual of [56, 12, 42]-code) | [i] | ||
| 11 | Linear OA(4943, 56, F49, 40) (dual of [56, 13, 41]-code) | [i] | ||
| 12 | Linear OA(4942, 56, F49, 39) (dual of [56, 14, 40]-code) | [i] | ||
| 13 | Linear OA(4941, 56, F49, 38) (dual of [56, 15, 39]-code) | [i] | ||
| 14 | Linear OA(4940, 56, F49, 37) (dual of [56, 16, 38]-code) | [i] | ||
| 15 | Linear OA(4939, 56, F49, 36) (dual of [56, 17, 37]-code) | [i] | ||
| 16 | Linear OA(4938, 56, F49, 35) (dual of [56, 18, 36]-code) | [i] | ||
| 17 | Linear OA(4937, 56, F49, 34) (dual of [56, 19, 35]-code) | [i] | ||
| 18 | Linear OA(4936, 56, F49, 33) (dual of [56, 20, 34]-code) | [i] | ||
| 19 | Linear OA(4935, 56, F49, 32) (dual of [56, 21, 33]-code) | [i] | ||
| 20 | Linear OA(4934, 56, F49, 31) (dual of [56, 22, 32]-code) | [i] | ||
| 21 | Linear OA(4933, 56, F49, 30) (dual of [56, 23, 31]-code) | [i] | ||
| 22 | Linear OA(4932, 56, F49, 29) (dual of [56, 24, 30]-code) | [i] | ||
| 23 | Linear OA(4931, 56, F49, 28) (dual of [56, 25, 29]-code) | [i] | ||
| 24 | Linear OA(4930, 56, F49, 27) (dual of [56, 26, 28]-code) | [i] | ||
| 25 | Linear OA(4929, 56, F49, 26) (dual of [56, 27, 27]-code) | [i] | ||
| 26 | Linear OA(4928, 56, F49, 25) (dual of [56, 28, 26]-code) | [i] | ||
| 27 | Linear OA(4927, 56, F49, 24) (dual of [56, 29, 25]-code) | [i] | ||
| 28 | Linear OA(4926, 56, F49, 23) (dual of [56, 30, 24]-code) | [i] | ||
| 29 | Linear OA(4925, 56, F49, 22) (dual of [56, 31, 23]-code) | [i] | ||
| 30 | Linear OA(4924, 56, F49, 21) (dual of [56, 32, 22]-code) | [i] | ||
| 31 | Linear OA(4923, 56, F49, 20) (dual of [56, 33, 21]-code) | [i] | ||
| 32 | Linear OA(4922, 56, F49, 19) (dual of [56, 34, 20]-code) | [i] | ||
| 33 | Linear OA(4921, 56, F49, 18) (dual of [56, 35, 19]-code) | [i] | ||
| 34 | Linear OA(4920, 56, F49, 17) (dual of [56, 36, 18]-code) | [i] | ||
| 35 | Linear OA(4919, 56, F49, 16) (dual of [56, 37, 17]-code) | [i] | ||
| 36 | Linear OA(4918, 56, F49, 15) (dual of [56, 38, 16]-code) | [i] | ||
| 37 | Linear OA(4917, 56, F49, 14) (dual of [56, 39, 15]-code) | [i] | ||
| 38 | Linear OA(4916, 56, F49, 13) (dual of [56, 40, 14]-code) | [i] | ||
| 39 | Linear OA(4915, 56, F49, 12) (dual of [56, 41, 13]-code) | [i] | ||
| 40 | Linear OA(4914, 56, F49, 11) (dual of [56, 42, 12]-code) | [i] | ||
| 41 | Linear OA(4913, 56, F49, 10) (dual of [56, 43, 11]-code) | [i] | ||
| 42 | Linear OA(4912, 56, F49, 9) (dual of [56, 44, 10]-code) | [i] | ||
| 43 | Linear OA(4911, 56, F49, 8) (dual of [56, 45, 9]-code) | [i] | ||
| 44 | Linear OA(4955, 350, F49, 31) (dual of [350, 295, 32]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 45 | Linear OA(4954, 350, F49, 30) (dual of [350, 296, 31]-code) | [i] | ||
| 46 | Linear OA(4953, 350, F49, 29) (dual of [350, 297, 30]-code) | [i] | ||
| 47 | Linear OA(4952, 350, F49, 28) (dual of [350, 298, 29]-code) | [i] | ||
| 48 | Linear OA(4952, 57, F49, 49) (dual of [57, 5, 50]-code) | [i] | ||
| 49 | Linear OA(4950, 57, F49, 47) (dual of [57, 7, 48]-code) | [i] | ||
| 50 | Linear OA(4948, 57, F49, 45) (dual of [57, 9, 46]-code) | [i] | ||
| 51 | Linear OA(4946, 57, F49, 43) (dual of [57, 11, 44]-code) | [i] | ||
| 52 | Linear OA(4944, 57, F49, 41) (dual of [57, 13, 42]-code) | [i] | ||
| 53 | Linear OA(4942, 57, F49, 39) (dual of [57, 15, 40]-code) | [i] | ||
| 54 | Linear OA(4940, 57, F49, 37) (dual of [57, 17, 38]-code) | [i] | ||
| 55 | Linear OA(4938, 57, F49, 35) (dual of [57, 19, 36]-code) | [i] | ||
| 56 | Linear OA(4936, 57, F49, 33) (dual of [57, 21, 34]-code) | [i] | ||
| 57 | Linear OA(4934, 57, F49, 31) (dual of [57, 23, 32]-code) | [i] | ||
| 58 | Linear OA(4932, 57, F49, 29) (dual of [57, 25, 30]-code) | [i] | ||
| 59 | Linear OA(4930, 57, F49, 27) (dual of [57, 27, 28]-code) | [i] | ||
| 60 | Linear OA(4928, 57, F49, 25) (dual of [57, 29, 26]-code) | [i] | ||
| 61 | Linear OA(4926, 57, F49, 23) (dual of [57, 31, 24]-code) | [i] | ||
| 62 | Linear OA(4924, 57, F49, 21) (dual of [57, 33, 22]-code) | [i] | ||
| 63 | Linear OA(4922, 57, F49, 19) (dual of [57, 35, 20]-code) | [i] | ||
| 64 | Linear OA(4920, 57, F49, 17) (dual of [57, 37, 18]-code) | [i] | ||
| 65 | Linear OA(4918, 57, F49, 15) (dual of [57, 39, 16]-code) | [i] | ||
| 66 | Linear OA(4916, 57, F49, 13) (dual of [57, 41, 14]-code) | [i] | ||
| 67 | Linear OA(4914, 57, F49, 11) (dual of [57, 43, 12]-code) | [i] | ||
| 68 | Linear OA(4912, 57, F49, 9) (dual of [57, 45, 10]-code) | [i] | ||
| 69 | Linear OA(4949, 57, F49, 46) (dual of [57, 8, 47]-code) | [i] | ||
| 70 | Linear OA(4947, 57, F49, 44) (dual of [57, 10, 45]-code) | [i] | ||
| 71 | Linear OA(4945, 57, F49, 42) (dual of [57, 12, 43]-code) | [i] | ||
| 72 | Linear OA(4943, 57, F49, 40) (dual of [57, 14, 41]-code) | [i] | ||
| 73 | Linear OA(4941, 57, F49, 38) (dual of [57, 16, 39]-code) | [i] | ||
| 74 | Linear OA(4939, 57, F49, 36) (dual of [57, 18, 37]-code) | [i] | ||
| 75 | Linear OA(4937, 57, F49, 34) (dual of [57, 20, 35]-code) | [i] | ||
| 76 | Linear OA(4935, 57, F49, 32) (dual of [57, 22, 33]-code) | [i] | ||
| 77 | Linear OA(4933, 57, F49, 30) (dual of [57, 24, 31]-code) | [i] | ||
| 78 | Linear OA(4931, 57, F49, 28) (dual of [57, 26, 29]-code) | [i] | ||
| 79 | Linear OA(4929, 57, F49, 26) (dual of [57, 28, 27]-code) | [i] | ||
| 80 | Linear OA(4927, 57, F49, 24) (dual of [57, 30, 25]-code) | [i] | ||
| 81 | Linear OA(4925, 57, F49, 22) (dual of [57, 32, 23]-code) | [i] | ||
| 82 | Linear OA(4923, 57, F49, 20) (dual of [57, 34, 21]-code) | [i] | ||
| 83 | Linear OA(4921, 57, F49, 18) (dual of [57, 36, 19]-code) | [i] | ||
| 84 | Linear OA(4919, 57, F49, 16) (dual of [57, 38, 17]-code) | [i] | ||
| 85 | Linear OA(4917, 57, F49, 14) (dual of [57, 40, 15]-code) | [i] | ||
| 86 | Linear OA(4915, 57, F49, 12) (dual of [57, 42, 13]-code) | [i] | ||
| 87 | Linear OA(4913, 57, F49, 10) (dual of [57, 44, 11]-code) | [i] | ||
| 88 | Linear OA(4911, 57, F49, 8) (dual of [57, 46, 9]-code) | [i] | ||
| 89 | Linear OA(4955, 98, F49, 49) (dual of [98, 43, 50]-code) | [i] | ||
| 90 | Linear OA(4954, 98, F49, 48) (dual of [98, 44, 49]-code) | [i] | ||
| 91 | Linear OA(4953, 98, F49, 47) (dual of [98, 45, 48]-code) | [i] | ||
| 92 | Linear OA(4952, 98, F49, 46) (dual of [98, 46, 47]-code) | [i] | ||
| 93 | Linear OA(4951, 98, F49, 45) (dual of [98, 47, 46]-code) | [i] | ||
| 94 | Linear OA(4950, 98, F49, 44) (dual of [98, 48, 45]-code) | [i] | ||
| 95 | Linear OA(4949, 98, F49, 43) (dual of [98, 49, 44]-code) | [i] | ||
| 96 | Linear OA(4948, 98, F49, 42) (dual of [98, 50, 43]-code) | [i] | ||
| 97 | Linear OA(4947, 98, F49, 41) (dual of [98, 51, 42]-code) | [i] | ||
| 98 | Linear OA(4946, 98, F49, 40) (dual of [98, 52, 41]-code) | [i] | ||
| 99 | Linear OA(4945, 98, F49, 39) (dual of [98, 53, 40]-code) | [i] | ||
| 100 | Linear OA(4944, 98, F49, 38) (dual of [98, 54, 39]-code) | [i] | ||
| 101 | Linear OA(4943, 98, F49, 37) (dual of [98, 55, 38]-code) | [i] | ||
| 102 | Linear OA(4942, 98, F49, 36) (dual of [98, 56, 37]-code) | [i] | ||
| 103 | Linear OA(4941, 98, F49, 35) (dual of [98, 57, 36]-code) | [i] | ||
| 104 | Linear OA(4940, 98, F49, 34) (dual of [98, 58, 35]-code) | [i] | ||
| 105 | Linear OA(4939, 98, F49, 33) (dual of [98, 59, 34]-code) | [i] | ||
| 106 | Linear OA(4938, 98, F49, 32) (dual of [98, 60, 33]-code) | [i] | ||
| 107 | Linear OA(4937, 98, F49, 31) (dual of [98, 61, 32]-code) | [i] | ||
| 108 | Linear OA(4936, 98, F49, 30) (dual of [98, 62, 31]-code) | [i] | ||
| 109 | Linear OA(4935, 98, F49, 29) (dual of [98, 63, 30]-code) | [i] | ||
| 110 | Linear OA(4934, 98, F49, 28) (dual of [98, 64, 29]-code) | [i] | ||
| 111 | Linear OA(4933, 98, F49, 27) (dual of [98, 65, 28]-code) | [i] | ||
| 112 | Linear OA(4932, 98, F49, 26) (dual of [98, 66, 27]-code) | [i] | ||
| 113 | Linear OA(4931, 98, F49, 25) (dual of [98, 67, 26]-code) | [i] | ||
| 114 | Linear OA(4930, 98, F49, 24) (dual of [98, 68, 25]-code) | [i] | ||
| 115 | Linear OA(4929, 98, F49, 23) (dual of [98, 69, 24]-code) | [i] | ||
| 116 | Linear OA(4928, 98, F49, 22) (dual of [98, 70, 23]-code) | [i] | ||
| 117 | Linear OA(4927, 98, F49, 21) (dual of [98, 71, 22]-code) | [i] | ||
| 118 | Linear OA(4926, 98, F49, 20) (dual of [98, 72, 21]-code) | [i] | ||
| 119 | Linear OA(4925, 98, F49, 19) (dual of [98, 73, 20]-code) | [i] | ||
| 120 | Linear OA(4924, 98, F49, 18) (dual of [98, 74, 19]-code) | [i] | ||
| 121 | Linear OA(4923, 98, F49, 17) (dual of [98, 75, 18]-code) | [i] | ||
| 122 | Linear OA(4922, 98, F49, 16) (dual of [98, 76, 17]-code) | [i] | ||
| 123 | Linear OA(4921, 98, F49, 15) (dual of [98, 77, 16]-code) | [i] | ||
| 124 | Linear OA(4920, 98, F49, 14) (dual of [98, 78, 15]-code) | [i] | ||
| 125 | Linear OA(4952, 5764821, F49, 13) (dual of [5764821, 5764769, 14]-code) | [i] | Construction X with Cyclic Codes | |
| 126 | Linear OA(4944, 5764821, F49, 11) (dual of [5764821, 5764777, 12]-code) | [i] | ||
| 127 | Linear OA(4936, 5764821, F49, 9) (dual of [5764821, 5764785, 10]-code) | [i] | ||
| 128 | Linear OA(4952, 117665, F49, 17) (dual of [117665, 117613, 18]-code) | [i] | ||
| 129 | Linear OA(4946, 117665, F49, 15) (dual of [117665, 117619, 16]-code) | [i] | ||
| 130 | Linear OA(4940, 117665, F49, 13) (dual of [117665, 117625, 14]-code) | [i] | ||
| 131 | Linear OA(4934, 117665, F49, 11) (dual of [117665, 117631, 12]-code) | [i] | ||
| 132 | Linear OA(4928, 117665, F49, 9) (dual of [117665, 117637, 10]-code) | [i] | ||
| 133 | Linear OA(4952, 2413, F49, 25) (dual of [2413, 2361, 26]-code) | [i] | ||
| 134 | Linear OA(4948, 2413, F49, 23) (dual of [2413, 2365, 24]-code) | [i] | ||
| 135 | Linear OA(4944, 2413, F49, 21) (dual of [2413, 2369, 22]-code) | [i] | ||
| 136 | Linear OA(4940, 2413, F49, 19) (dual of [2413, 2373, 20]-code) | [i] | ||
| 137 | Linear OA(4936, 2413, F49, 17) (dual of [2413, 2377, 18]-code) | [i] | ||
| 138 | Linear OA(4932, 2413, F49, 15) (dual of [2413, 2381, 16]-code) | [i] | ||
| 139 | Linear OA(4928, 2413, F49, 13) (dual of [2413, 2385, 14]-code) | [i] | ||
| 140 | Linear OA(4924, 2413, F49, 11) (dual of [2413, 2389, 12]-code) | [i] | ||
| 141 | Linear OA(4920, 2413, F49, 9) (dual of [2413, 2393, 10]-code) | [i] | ||
| 142 | Linear OA(4928, 109, F49, 17) (dual of [109, 81, 18]-code) | [i] | ||
| 143 | Linear OA(4934, 109, F49, 21) (dual of [109, 75, 22]-code) | [i] | ||
| 144 | Linear OA(4936, 109, F49, 22) (dual of [109, 73, 23]-code) | [i] | ||
| 145 | Linear OA(4940, 109, F49, 25) (dual of [109, 69, 26]-code) | [i] | ||
| 146 | Linear OA(4942, 109, F49, 26) (dual of [109, 67, 27]-code) | [i] | ||
| 147 | Linear OA(4946, 109, F49, 29) (dual of [109, 63, 30]-code) | [i] | ||
| 148 | Linear OA(4948, 109, F49, 30) (dual of [109, 61, 31]-code) | [i] | ||
| 149 | Linear OA(4952, 109, F49, 33) (dual of [109, 57, 34]-code) | [i] | ||
| 150 | Linear OA(4954, 109, F49, 34) (dual of [109, 55, 35]-code) | [i] | ||
| 151 | Linear OA(4953, 60, F49, 49) (dual of [60, 7, 50]-code) | [i] | Construction XX with Cyclic Codes | |
| 152 | Linear OA(4948, 5764820, F49, 12) (dual of [5764820, 5764772, 13]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 153 | Linear OA(4940, 5764820, F49, 10) (dual of [5764820, 5764780, 11]-code) | [i] | ||
| 154 | Linear OA(4932, 5764820, F49, 8) (dual of [5764820, 5764788, 9]-code) | [i] | ||
| 155 | Linear OA(4955, 117664, F49, 18) (dual of [117664, 117609, 19]-code) | [i] | ||
| 156 | Linear OA(4949, 117664, F49, 16) (dual of [117664, 117615, 17]-code) | [i] | ||
| 157 | Linear OA(4943, 117664, F49, 14) (dual of [117664, 117621, 15]-code) | [i] | ||
| 158 | Linear OA(4937, 117664, F49, 12) (dual of [117664, 117627, 13]-code) | [i] | ||
| 159 | Linear OA(4931, 117664, F49, 10) (dual of [117664, 117633, 11]-code) | [i] | ||
| 160 | Linear OA(4925, 117664, F49, 8) (dual of [117664, 117639, 9]-code) | [i] | ||
| 161 | Linear OA(4954, 2412, F49, 26) (dual of [2412, 2358, 27]-code) | [i] | ||
| 162 | Linear OA(4950, 2412, F49, 24) (dual of [2412, 2362, 25]-code) | [i] | ||
| 163 | Linear OA(4946, 2412, F49, 22) (dual of [2412, 2366, 23]-code) | [i] | ||
| 164 | Linear OA(4942, 2412, F49, 20) (dual of [2412, 2370, 21]-code) | [i] | ||
| 165 | Linear OA(4938, 2412, F49, 18) (dual of [2412, 2374, 19]-code) | [i] | ||
| 166 | Linear OA(4934, 2412, F49, 16) (dual of [2412, 2378, 17]-code) | [i] | ||
| 167 | Linear OA(4930, 2412, F49, 14) (dual of [2412, 2382, 15]-code) | [i] | ||
| 168 | Linear OA(4926, 2412, F49, 12) (dual of [2412, 2386, 13]-code) | [i] | ||
| 169 | Linear OA(4922, 2412, F49, 10) (dual of [2412, 2390, 11]-code) | [i] | ||
| 170 | Linear OA(4918, 2412, F49, 8) (dual of [2412, 2394, 9]-code) | [i] | ||