Information on Result #606459
Linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using Reed–Solomon code RS(44,49)
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(4955, 71, F49, 40) (dual of [71, 16, 41]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(4955, 69, F49, 42) (dual of [69, 14, 43]-code) | [i] | ||
| 3 | Linear OA(4955, 67, F49, 44) (dual of [67, 12, 45]-code) | [i] | ||
| 4 | Linear OA(4955, 65, F49, 46) (dual of [65, 10, 47]-code) | [i] | ||
| 5 | Linear OA(4955, 63, F49, 48) (dual of [63, 8, 49]-code) | [i] | ||
| 6 | Linear OA(4955, 61, F49, 50) (dual of [61, 6, 51]-code) | [i] | ||
| 7 | Linear OA(4955, 59, F49, 52) (dual of [59, 4, 53]-code) | [i] | ||
| 8 | Linear OA(498, 52, F49, 7) (dual of [52, 44, 8]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 9 | Linear OA(4910, 54, F49, 8) (dual of [54, 44, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(4912, 56, F49, 9) (dual of [56, 44, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(4914, 58, F49, 10) (dual of [58, 44, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(4953, 60, F49, 48) (dual of [60, 7, 49]-code) | [i] | ||
| 13 | Linear OA(4952, 60, F49, 47) (dual of [60, 8, 48]-code) | [i] | ||
| 14 | Linear OA(4951, 60, F49, 46) (dual of [60, 9, 47]-code) | [i] | ||
| 15 | Linear OA(4950, 60, F49, 45) (dual of [60, 10, 46]-code) | [i] | ||
| 16 | Linear OA(4949, 60, F49, 44) (dual of [60, 11, 45]-code) | [i] | ||
| 17 | Linear OA(4948, 60, F49, 43) (dual of [60, 12, 44]-code) | [i] | ||
| 18 | Linear OA(4947, 60, F49, 42) (dual of [60, 13, 43]-code) | [i] | ||
| 19 | Linear OA(4946, 60, F49, 41) (dual of [60, 14, 42]-code) | [i] | ||
| 20 | Linear OA(4945, 60, F49, 40) (dual of [60, 15, 41]-code) | [i] | ||
| 21 | Linear OA(4944, 60, F49, 39) (dual of [60, 16, 40]-code) | [i] | ||
| 22 | Linear OA(4943, 60, F49, 38) (dual of [60, 17, 39]-code) | [i] | ||
| 23 | Linear OA(4942, 60, F49, 37) (dual of [60, 18, 38]-code) | [i] | ||
| 24 | Linear OA(4941, 60, F49, 36) (dual of [60, 19, 37]-code) | [i] | ||
| 25 | Linear OA(4940, 60, F49, 35) (dual of [60, 20, 36]-code) | [i] | ||
| 26 | Linear OA(4939, 60, F49, 34) (dual of [60, 21, 35]-code) | [i] | ||
| 27 | Linear OA(4938, 60, F49, 33) (dual of [60, 22, 34]-code) | [i] | ||
| 28 | Linear OA(4937, 60, F49, 32) (dual of [60, 23, 33]-code) | [i] | ||
| 29 | Linear OA(4936, 60, F49, 31) (dual of [60, 24, 32]-code) | [i] | ||
| 30 | Linear OA(4935, 60, F49, 30) (dual of [60, 25, 31]-code) | [i] | ||
| 31 | Linear OA(4934, 60, F49, 29) (dual of [60, 26, 30]-code) | [i] | ||
| 32 | Linear OA(4933, 60, F49, 28) (dual of [60, 27, 29]-code) | [i] | ||
| 33 | Linear OA(4932, 60, F49, 27) (dual of [60, 28, 28]-code) | [i] | ||
| 34 | Linear OA(4931, 60, F49, 26) (dual of [60, 29, 27]-code) | [i] | ||
| 35 | Linear OA(4930, 60, F49, 25) (dual of [60, 30, 26]-code) | [i] | ||
| 36 | Linear OA(4929, 60, F49, 24) (dual of [60, 31, 25]-code) | [i] | ||
| 37 | Linear OA(4928, 60, F49, 23) (dual of [60, 32, 24]-code) | [i] | ||
| 38 | Linear OA(4927, 60, F49, 22) (dual of [60, 33, 23]-code) | [i] | ||
| 39 | Linear OA(4926, 60, F49, 21) (dual of [60, 34, 22]-code) | [i] | ||
| 40 | Linear OA(4925, 60, F49, 20) (dual of [60, 35, 21]-code) | [i] | ||
| 41 | Linear OA(4924, 60, F49, 19) (dual of [60, 36, 20]-code) | [i] | ||
| 42 | Linear OA(4923, 60, F49, 18) (dual of [60, 37, 19]-code) | [i] | ||
| 43 | Linear OA(4922, 60, F49, 17) (dual of [60, 38, 18]-code) | [i] | ||
| 44 | Linear OA(4921, 60, F49, 16) (dual of [60, 39, 17]-code) | [i] | ||
| 45 | Linear OA(4920, 60, F49, 15) (dual of [60, 40, 16]-code) | [i] | ||
| 46 | Linear OA(4919, 60, F49, 14) (dual of [60, 41, 15]-code) | [i] | ||
| 47 | Linear OA(4918, 60, F49, 13) (dual of [60, 42, 14]-code) | [i] | ||
| 48 | Linear OA(4917, 60, F49, 12) (dual of [60, 43, 13]-code) | [i] | ||
| 49 | Linear OA(4954, 61, F49, 49) (dual of [61, 7, 50]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 50 | Linear OA(4952, 61, F49, 47) (dual of [61, 9, 48]-code) | [i] | ||
| 51 | Linear OA(4950, 61, F49, 45) (dual of [61, 11, 46]-code) | [i] | ||
| 52 | Linear OA(4948, 61, F49, 43) (dual of [61, 13, 44]-code) | [i] | ||
| 53 | Linear OA(4946, 61, F49, 41) (dual of [61, 15, 42]-code) | [i] | ||
| 54 | Linear OA(4944, 61, F49, 39) (dual of [61, 17, 40]-code) | [i] | ||
| 55 | Linear OA(4942, 61, F49, 37) (dual of [61, 19, 38]-code) | [i] | ||
| 56 | Linear OA(4940, 61, F49, 35) (dual of [61, 21, 36]-code) | [i] | ||
| 57 | Linear OA(4938, 61, F49, 33) (dual of [61, 23, 34]-code) | [i] | ||
| 58 | Linear OA(4936, 61, F49, 31) (dual of [61, 25, 32]-code) | [i] | ||
| 59 | Linear OA(4934, 61, F49, 29) (dual of [61, 27, 30]-code) | [i] | ||
| 60 | Linear OA(4932, 61, F49, 27) (dual of [61, 29, 28]-code) | [i] | ||
| 61 | Linear OA(4930, 61, F49, 25) (dual of [61, 31, 26]-code) | [i] | ||
| 62 | Linear OA(4928, 61, F49, 23) (dual of [61, 33, 24]-code) | [i] | ||
| 63 | Linear OA(4926, 61, F49, 21) (dual of [61, 35, 22]-code) | [i] | ||
| 64 | Linear OA(4924, 61, F49, 19) (dual of [61, 37, 20]-code) | [i] | ||
| 65 | Linear OA(4922, 61, F49, 17) (dual of [61, 39, 18]-code) | [i] | ||
| 66 | Linear OA(4920, 61, F49, 15) (dual of [61, 41, 16]-code) | [i] | ||
| 67 | Linear OA(4918, 61, F49, 13) (dual of [61, 43, 14]-code) | [i] | ||
| 68 | Linear OA(4951, 61, F49, 46) (dual of [61, 10, 47]-code) | [i] | ||
| 69 | Linear OA(4949, 61, F49, 44) (dual of [61, 12, 45]-code) | [i] | ||
| 70 | Linear OA(4947, 61, F49, 42) (dual of [61, 14, 43]-code) | [i] | ||
| 71 | Linear OA(4945, 61, F49, 40) (dual of [61, 16, 41]-code) | [i] | ||
| 72 | Linear OA(4943, 61, F49, 38) (dual of [61, 18, 39]-code) | [i] | ||
| 73 | Linear OA(4941, 61, F49, 36) (dual of [61, 20, 37]-code) | [i] | ||
| 74 | Linear OA(4939, 61, F49, 34) (dual of [61, 22, 35]-code) | [i] | ||
| 75 | Linear OA(4937, 61, F49, 32) (dual of [61, 24, 33]-code) | [i] | ||
| 76 | Linear OA(4935, 61, F49, 30) (dual of [61, 26, 31]-code) | [i] | ||
| 77 | Linear OA(4933, 61, F49, 28) (dual of [61, 28, 29]-code) | [i] | ||
| 78 | Linear OA(4931, 61, F49, 26) (dual of [61, 30, 27]-code) | [i] | ||
| 79 | Linear OA(4929, 61, F49, 24) (dual of [61, 32, 25]-code) | [i] | ||
| 80 | Linear OA(4927, 61, F49, 22) (dual of [61, 34, 23]-code) | [i] | ||
| 81 | Linear OA(4925, 61, F49, 20) (dual of [61, 36, 21]-code) | [i] | ||
| 82 | Linear OA(4923, 61, F49, 18) (dual of [61, 38, 19]-code) | [i] | ||
| 83 | Linear OA(4921, 61, F49, 16) (dual of [61, 40, 17]-code) | [i] | ||
| 84 | Linear OA(4919, 61, F49, 14) (dual of [61, 42, 15]-code) | [i] | ||
| 85 | Linear OA(4917, 61, F49, 12) (dual of [61, 44, 13]-code) | [i] | ||
| 86 | Linear OA(4955, 102, F49, 47) (dual of [102, 47, 48]-code) | [i] | ||
| 87 | Linear OA(4954, 102, F49, 46) (dual of [102, 48, 47]-code) | [i] | ||
| 88 | Linear OA(4953, 102, F49, 45) (dual of [102, 49, 46]-code) | [i] | ||
| 89 | Linear OA(4952, 102, F49, 44) (dual of [102, 50, 45]-code) | [i] | ||
| 90 | Linear OA(4951, 102, F49, 43) (dual of [102, 51, 44]-code) | [i] | ||
| 91 | Linear OA(4950, 102, F49, 42) (dual of [102, 52, 43]-code) | [i] | ||
| 92 | Linear OA(4949, 102, F49, 41) (dual of [102, 53, 42]-code) | [i] | ||
| 93 | Linear OA(4948, 102, F49, 40) (dual of [102, 54, 41]-code) | [i] | ||
| 94 | Linear OA(4947, 102, F49, 39) (dual of [102, 55, 40]-code) | [i] | ||
| 95 | Linear OA(4946, 102, F49, 38) (dual of [102, 56, 39]-code) | [i] | ||
| 96 | Linear OA(4945, 102, F49, 37) (dual of [102, 57, 38]-code) | [i] | ||
| 97 | Linear OA(4944, 102, F49, 36) (dual of [102, 58, 37]-code) | [i] | ||
| 98 | Linear OA(4943, 102, F49, 35) (dual of [102, 59, 36]-code) | [i] | ||
| 99 | Linear OA(4942, 102, F49, 34) (dual of [102, 60, 35]-code) | [i] | ||
| 100 | Linear OA(4941, 102, F49, 33) (dual of [102, 61, 34]-code) | [i] | ||
| 101 | Linear OA(4940, 102, F49, 32) (dual of [102, 62, 33]-code) | [i] | ||
| 102 | Linear OA(4939, 102, F49, 31) (dual of [102, 63, 32]-code) | [i] | ||
| 103 | Linear OA(4938, 102, F49, 30) (dual of [102, 64, 31]-code) | [i] | ||
| 104 | Linear OA(4937, 102, F49, 29) (dual of [102, 65, 30]-code) | [i] | ||
| 105 | Linear OA(4936, 102, F49, 28) (dual of [102, 66, 29]-code) | [i] | ||
| 106 | Linear OA(4935, 102, F49, 27) (dual of [102, 67, 28]-code) | [i] | ||
| 107 | Linear OA(4934, 102, F49, 26) (dual of [102, 68, 27]-code) | [i] | ||
| 108 | Linear OA(4933, 102, F49, 25) (dual of [102, 69, 26]-code) | [i] | ||
| 109 | Linear OA(4932, 102, F49, 24) (dual of [102, 70, 25]-code) | [i] | ||
| 110 | Linear OA(4931, 102, F49, 23) (dual of [102, 71, 24]-code) | [i] | ||
| 111 | Linear OA(4930, 102, F49, 22) (dual of [102, 72, 23]-code) | [i] | ||
| 112 | Linear OA(4929, 102, F49, 21) (dual of [102, 73, 22]-code) | [i] | ||
| 113 | Linear OA(4928, 102, F49, 20) (dual of [102, 74, 21]-code) | [i] | ||
| 114 | Linear OA(4927, 102, F49, 19) (dual of [102, 75, 20]-code) | [i] | ||
| 115 | Linear OA(4926, 102, F49, 18) (dual of [102, 76, 19]-code) | [i] | ||
| 116 | Linear OA(4925, 102, F49, 17) (dual of [102, 77, 18]-code) | [i] | ||
| 117 | Linear OA(4924, 102, F49, 16) (dual of [102, 78, 17]-code) | [i] | ||
| 118 | Linear OA(4945, 2416, F49, 17) (dual of [2416, 2371, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 119 | Linear OA(4943, 2415, F49, 16) (dual of [2415, 2372, 17]-code) | [i] | ||
| 120 | Linear OA(4954, 5764831, F49, 13) (dual of [5764831, 5764777, 14]-code) | [i] | Construction X with Cyclic Codes | |
| 121 | Linear OA(4954, 117673, F49, 17) (dual of [117673, 117619, 18]-code) | [i] | ||
| 122 | Linear OA(4948, 117673, F49, 15) (dual of [117673, 117625, 16]-code) | [i] | ||
| 123 | Linear OA(4942, 117673, F49, 13) (dual of [117673, 117631, 14]-code) | [i] | ||
| 124 | Linear OA(4954, 2419, F49, 25) (dual of [2419, 2365, 26]-code) | [i] | ||
| 125 | Linear OA(4950, 2419, F49, 23) (dual of [2419, 2369, 24]-code) | [i] | ||
| 126 | Linear OA(4946, 2419, F49, 21) (dual of [2419, 2373, 22]-code) | [i] | ||
| 127 | Linear OA(4942, 2419, F49, 19) (dual of [2419, 2377, 20]-code) | [i] | ||
| 128 | Linear OA(4938, 2419, F49, 17) (dual of [2419, 2381, 18]-code) | [i] | ||
| 129 | Linear OA(4934, 2419, F49, 15) (dual of [2419, 2385, 16]-code) | [i] | ||
| 130 | Linear OA(4930, 2419, F49, 13) (dual of [2419, 2389, 14]-code) | [i] | ||
| 131 | Linear OA(4948, 113, F49, 29) (dual of [113, 65, 30]-code) | [i] | ||
| 132 | Linear OA(4950, 5764830, F49, 12) (dual of [5764830, 5764780, 13]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 133 | Linear OA(4951, 117672, F49, 16) (dual of [117672, 117621, 17]-code) | [i] | ||
| 134 | Linear OA(4945, 117672, F49, 14) (dual of [117672, 117627, 15]-code) | [i] | ||
| 135 | Linear OA(4939, 117672, F49, 12) (dual of [117672, 117633, 13]-code) | [i] | ||
| 136 | Linear OA(4952, 2418, F49, 24) (dual of [2418, 2366, 25]-code) | [i] | ||
| 137 | Linear OA(4948, 2418, F49, 22) (dual of [2418, 2370, 23]-code) | [i] | ||
| 138 | Linear OA(4944, 2418, F49, 20) (dual of [2418, 2374, 21]-code) | [i] | ||
| 139 | Linear OA(4940, 2418, F49, 18) (dual of [2418, 2378, 19]-code) | [i] | ||
| 140 | Linear OA(4936, 2418, F49, 16) (dual of [2418, 2382, 17]-code) | [i] | ||
| 141 | Linear OA(4932, 2418, F49, 14) (dual of [2418, 2386, 15]-code) | [i] | ||
| 142 | Linear OA(4928, 2418, F49, 12) (dual of [2418, 2390, 13]-code) | [i] | ||