Information on Result #606461
Linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), using Reed–Solomon code RS(42,49)
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(4910, 52, F49, 9) (dual of [52, 42, 10]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(498, 52, F49, 7) (dual of [52, 44, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(4912, 54, F49, 10) (dual of [54, 42, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(499, 54, F49, 7) (dual of [54, 45, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(4914, 56, F49, 11) (dual of [56, 42, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(4916, 58, F49, 12) (dual of [58, 42, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(4918, 60, F49, 13) (dual of [60, 42, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(4920, 62, F49, 14) (dual of [62, 42, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(4955, 64, F49, 48) (dual of [64, 9, 49]-code) | [i] | ||
| 10 | Linear OA(4954, 64, F49, 47) (dual of [64, 10, 48]-code) | [i] | ||
| 11 | Linear OA(4953, 64, F49, 46) (dual of [64, 11, 47]-code) | [i] | ||
| 12 | Linear OA(4952, 64, F49, 45) (dual of [64, 12, 46]-code) | [i] | ||
| 13 | Linear OA(4951, 64, F49, 44) (dual of [64, 13, 45]-code) | [i] | ||
| 14 | Linear OA(4950, 64, F49, 43) (dual of [64, 14, 44]-code) | [i] | ||
| 15 | Linear OA(4949, 64, F49, 42) (dual of [64, 15, 43]-code) | [i] | ||
| 16 | Linear OA(4948, 64, F49, 41) (dual of [64, 16, 42]-code) | [i] | ||
| 17 | Linear OA(4947, 64, F49, 40) (dual of [64, 17, 41]-code) | [i] | ||
| 18 | Linear OA(4946, 64, F49, 39) (dual of [64, 18, 40]-code) | [i] | ||
| 19 | Linear OA(4945, 64, F49, 38) (dual of [64, 19, 39]-code) | [i] | ||
| 20 | Linear OA(4944, 64, F49, 37) (dual of [64, 20, 38]-code) | [i] | ||
| 21 | Linear OA(4943, 64, F49, 36) (dual of [64, 21, 37]-code) | [i] | ||
| 22 | Linear OA(4942, 64, F49, 35) (dual of [64, 22, 36]-code) | [i] | ||
| 23 | Linear OA(4941, 64, F49, 34) (dual of [64, 23, 35]-code) | [i] | ||
| 24 | Linear OA(4940, 64, F49, 33) (dual of [64, 24, 34]-code) | [i] | ||
| 25 | Linear OA(4939, 64, F49, 32) (dual of [64, 25, 33]-code) | [i] | ||
| 26 | Linear OA(4938, 64, F49, 31) (dual of [64, 26, 32]-code) | [i] | ||
| 27 | Linear OA(4937, 64, F49, 30) (dual of [64, 27, 31]-code) | [i] | ||
| 28 | Linear OA(4936, 64, F49, 29) (dual of [64, 28, 30]-code) | [i] | ||
| 29 | Linear OA(4935, 64, F49, 28) (dual of [64, 29, 29]-code) | [i] | ||
| 30 | Linear OA(4934, 64, F49, 27) (dual of [64, 30, 28]-code) | [i] | ||
| 31 | Linear OA(4933, 64, F49, 26) (dual of [64, 31, 27]-code) | [i] | ||
| 32 | Linear OA(4932, 64, F49, 25) (dual of [64, 32, 26]-code) | [i] | ||
| 33 | Linear OA(4931, 64, F49, 24) (dual of [64, 33, 25]-code) | [i] | ||
| 34 | Linear OA(4930, 64, F49, 23) (dual of [64, 34, 24]-code) | [i] | ||
| 35 | Linear OA(4929, 64, F49, 22) (dual of [64, 35, 23]-code) | [i] | ||
| 36 | Linear OA(4928, 64, F49, 21) (dual of [64, 36, 22]-code) | [i] | ||
| 37 | Linear OA(4927, 64, F49, 20) (dual of [64, 37, 21]-code) | [i] | ||
| 38 | Linear OA(4926, 64, F49, 19) (dual of [64, 38, 20]-code) | [i] | ||
| 39 | Linear OA(4925, 64, F49, 18) (dual of [64, 39, 19]-code) | [i] | ||
| 40 | Linear OA(4924, 64, F49, 17) (dual of [64, 40, 18]-code) | [i] | ||
| 41 | Linear OA(4923, 64, F49, 16) (dual of [64, 41, 17]-code) | [i] | ||
| 42 | Linear OA(4954, 65, F49, 47) (dual of [65, 11, 48]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 43 | Linear OA(4952, 65, F49, 45) (dual of [65, 13, 46]-code) | [i] | ||
| 44 | Linear OA(4950, 65, F49, 43) (dual of [65, 15, 44]-code) | [i] | ||
| 45 | Linear OA(4948, 65, F49, 41) (dual of [65, 17, 42]-code) | [i] | ||
| 46 | Linear OA(4946, 65, F49, 39) (dual of [65, 19, 40]-code) | [i] | ||
| 47 | Linear OA(4944, 65, F49, 37) (dual of [65, 21, 38]-code) | [i] | ||
| 48 | Linear OA(4942, 65, F49, 35) (dual of [65, 23, 36]-code) | [i] | ||
| 49 | Linear OA(4940, 65, F49, 33) (dual of [65, 25, 34]-code) | [i] | ||
| 50 | Linear OA(4938, 65, F49, 31) (dual of [65, 27, 32]-code) | [i] | ||
| 51 | Linear OA(4936, 65, F49, 29) (dual of [65, 29, 30]-code) | [i] | ||
| 52 | Linear OA(4934, 65, F49, 27) (dual of [65, 31, 28]-code) | [i] | ||
| 53 | Linear OA(4932, 65, F49, 25) (dual of [65, 33, 26]-code) | [i] | ||
| 54 | Linear OA(4930, 65, F49, 23) (dual of [65, 35, 24]-code) | [i] | ||
| 55 | Linear OA(4928, 65, F49, 21) (dual of [65, 37, 22]-code) | [i] | ||
| 56 | Linear OA(4926, 65, F49, 19) (dual of [65, 39, 20]-code) | [i] | ||
| 57 | Linear OA(4924, 65, F49, 17) (dual of [65, 41, 18]-code) | [i] | ||
| 58 | Linear OA(4953, 65, F49, 46) (dual of [65, 12, 47]-code) | [i] | ||
| 59 | Linear OA(4951, 65, F49, 44) (dual of [65, 14, 45]-code) | [i] | ||
| 60 | Linear OA(4949, 65, F49, 42) (dual of [65, 16, 43]-code) | [i] | ||
| 61 | Linear OA(4947, 65, F49, 40) (dual of [65, 18, 41]-code) | [i] | ||
| 62 | Linear OA(4945, 65, F49, 38) (dual of [65, 20, 39]-code) | [i] | ||
| 63 | Linear OA(4943, 65, F49, 36) (dual of [65, 22, 37]-code) | [i] | ||
| 64 | Linear OA(4941, 65, F49, 34) (dual of [65, 24, 35]-code) | [i] | ||
| 65 | Linear OA(4939, 65, F49, 32) (dual of [65, 26, 33]-code) | [i] | ||
| 66 | Linear OA(4937, 65, F49, 30) (dual of [65, 28, 31]-code) | [i] | ||
| 67 | Linear OA(4935, 65, F49, 28) (dual of [65, 30, 29]-code) | [i] | ||
| 68 | Linear OA(4933, 65, F49, 26) (dual of [65, 32, 27]-code) | [i] | ||
| 69 | Linear OA(4931, 65, F49, 24) (dual of [65, 34, 25]-code) | [i] | ||
| 70 | Linear OA(4929, 65, F49, 22) (dual of [65, 36, 23]-code) | [i] | ||
| 71 | Linear OA(4927, 65, F49, 20) (dual of [65, 38, 21]-code) | [i] | ||
| 72 | Linear OA(4925, 65, F49, 18) (dual of [65, 40, 19]-code) | [i] | ||
| 73 | Linear OA(4923, 65, F49, 16) (dual of [65, 42, 17]-code) | [i] | ||
| 74 | Linear OA(4955, 106, F49, 45) (dual of [106, 51, 46]-code) | [i] | ||
| 75 | Linear OA(4954, 106, F49, 44) (dual of [106, 52, 45]-code) | [i] | ||
| 76 | Linear OA(4953, 106, F49, 43) (dual of [106, 53, 44]-code) | [i] | ||
| 77 | Linear OA(4952, 106, F49, 42) (dual of [106, 54, 43]-code) | [i] | ||
| 78 | Linear OA(4951, 106, F49, 41) (dual of [106, 55, 42]-code) | [i] | ||
| 79 | Linear OA(4950, 106, F49, 40) (dual of [106, 56, 41]-code) | [i] | ||
| 80 | Linear OA(4949, 106, F49, 39) (dual of [106, 57, 40]-code) | [i] | ||
| 81 | Linear OA(4948, 106, F49, 38) (dual of [106, 58, 39]-code) | [i] | ||
| 82 | Linear OA(4947, 106, F49, 37) (dual of [106, 59, 38]-code) | [i] | ||
| 83 | Linear OA(4946, 106, F49, 36) (dual of [106, 60, 37]-code) | [i] | ||
| 84 | Linear OA(4945, 106, F49, 35) (dual of [106, 61, 36]-code) | [i] | ||
| 85 | Linear OA(4944, 106, F49, 34) (dual of [106, 62, 35]-code) | [i] | ||
| 86 | Linear OA(4943, 106, F49, 33) (dual of [106, 63, 34]-code) | [i] | ||
| 87 | Linear OA(4942, 106, F49, 32) (dual of [106, 64, 33]-code) | [i] | ||
| 88 | Linear OA(4941, 106, F49, 31) (dual of [106, 65, 32]-code) | [i] | ||
| 89 | Linear OA(4940, 106, F49, 30) (dual of [106, 66, 31]-code) | [i] | ||
| 90 | Linear OA(4939, 106, F49, 29) (dual of [106, 67, 30]-code) | [i] | ||
| 91 | Linear OA(4938, 106, F49, 28) (dual of [106, 68, 29]-code) | [i] | ||
| 92 | Linear OA(4937, 106, F49, 27) (dual of [106, 69, 28]-code) | [i] | ||
| 93 | Linear OA(4936, 106, F49, 26) (dual of [106, 70, 27]-code) | [i] | ||
| 94 | Linear OA(4935, 106, F49, 25) (dual of [106, 71, 26]-code) | [i] | ||
| 95 | Linear OA(4934, 106, F49, 24) (dual of [106, 72, 25]-code) | [i] | ||
| 96 | Linear OA(4933, 106, F49, 23) (dual of [106, 73, 24]-code) | [i] | ||
| 97 | Linear OA(4932, 106, F49, 22) (dual of [106, 74, 23]-code) | [i] | ||
| 98 | Linear OA(4931, 106, F49, 21) (dual of [106, 75, 22]-code) | [i] | ||
| 99 | Linear OA(4930, 106, F49, 20) (dual of [106, 76, 21]-code) | [i] | ||
| 100 | Linear OA(4929, 106, F49, 19) (dual of [106, 77, 20]-code) | [i] | ||
| 101 | Linear OA(4928, 106, F49, 18) (dual of [106, 78, 19]-code) | [i] | ||
| 102 | Linear OA(4952, 2425, F49, 23) (dual of [2425, 2373, 24]-code) | [i] | Construction X with Cyclic Codes | |
| 103 | Linear OA(4948, 2425, F49, 21) (dual of [2425, 2377, 22]-code) | [i] | ||
| 104 | Linear OA(4944, 2425, F49, 19) (dual of [2425, 2381, 20]-code) | [i] | ||
| 105 | Linear OA(4940, 2425, F49, 17) (dual of [2425, 2385, 18]-code) | [i] | ||
| 106 | Linear OA(4955, 68, F49, 47) (dual of [68, 13, 48]-code) | [i] | Construction XX with Cyclic Codes | |
| 107 | Linear OA(4953, 117680, F49, 16) (dual of [117680, 117627, 17]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 108 | Linear OA(4954, 2424, F49, 24) (dual of [2424, 2370, 25]-code) | [i] | ||
| 109 | Linear OA(4950, 2424, F49, 22) (dual of [2424, 2374, 23]-code) | [i] | ||
| 110 | Linear OA(4946, 2424, F49, 20) (dual of [2424, 2378, 21]-code) | [i] | ||
| 111 | Linear OA(4942, 2424, F49, 18) (dual of [2424, 2382, 19]-code) | [i] | ||
| 112 | Linear OA(4938, 2424, F49, 16) (dual of [2424, 2386, 17]-code) | [i] | ||