Information on Result #606462
Linear OA(498, 49, F49, 8) (dual of [49, 41, 9]-code or 49-arc in PG(7,49)), using Reed–Solomon code RS(41,49)
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(4911, 52, F49, 10) (dual of [52, 41, 11]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 2 | Linear OA(499, 52, F49, 8) (dual of [52, 43, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(4913, 54, F49, 11) (dual of [54, 41, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(4910, 54, F49, 8) (dual of [54, 44, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(4915, 56, F49, 12) (dual of [56, 41, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(4911, 56, F49, 8) (dual of [56, 45, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(4917, 58, F49, 13) (dual of [58, 41, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(4919, 60, F49, 14) (dual of [60, 41, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(4921, 62, F49, 15) (dual of [62, 41, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(4923, 64, F49, 16) (dual of [64, 41, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(4955, 66, F49, 47) (dual of [66, 11, 48]-code) | [i] | ||
| 12 | Linear OA(4954, 66, F49, 46) (dual of [66, 12, 47]-code) | [i] | ||
| 13 | Linear OA(4953, 66, F49, 45) (dual of [66, 13, 46]-code) | [i] | ||
| 14 | Linear OA(4952, 66, F49, 44) (dual of [66, 14, 45]-code) | [i] | ||
| 15 | Linear OA(4951, 66, F49, 43) (dual of [66, 15, 44]-code) | [i] | ||
| 16 | Linear OA(4950, 66, F49, 42) (dual of [66, 16, 43]-code) | [i] | ||
| 17 | Linear OA(4949, 66, F49, 41) (dual of [66, 17, 42]-code) | [i] | ||
| 18 | Linear OA(4948, 66, F49, 40) (dual of [66, 18, 41]-code) | [i] | ||
| 19 | Linear OA(4947, 66, F49, 39) (dual of [66, 19, 40]-code) | [i] | ||
| 20 | Linear OA(4946, 66, F49, 38) (dual of [66, 20, 39]-code) | [i] | ||
| 21 | Linear OA(4945, 66, F49, 37) (dual of [66, 21, 38]-code) | [i] | ||
| 22 | Linear OA(4944, 66, F49, 36) (dual of [66, 22, 37]-code) | [i] | ||
| 23 | Linear OA(4943, 66, F49, 35) (dual of [66, 23, 36]-code) | [i] | ||
| 24 | Linear OA(4942, 66, F49, 34) (dual of [66, 24, 35]-code) | [i] | ||
| 25 | Linear OA(4941, 66, F49, 33) (dual of [66, 25, 34]-code) | [i] | ||
| 26 | Linear OA(4940, 66, F49, 32) (dual of [66, 26, 33]-code) | [i] | ||
| 27 | Linear OA(4939, 66, F49, 31) (dual of [66, 27, 32]-code) | [i] | ||
| 28 | Linear OA(4938, 66, F49, 30) (dual of [66, 28, 31]-code) | [i] | ||
| 29 | Linear OA(4937, 66, F49, 29) (dual of [66, 29, 30]-code) | [i] | ||
| 30 | Linear OA(4936, 66, F49, 28) (dual of [66, 30, 29]-code) | [i] | ||
| 31 | Linear OA(4935, 66, F49, 27) (dual of [66, 31, 28]-code) | [i] | ||
| 32 | Linear OA(4934, 66, F49, 26) (dual of [66, 32, 27]-code) | [i] | ||
| 33 | Linear OA(4933, 66, F49, 25) (dual of [66, 33, 26]-code) | [i] | ||
| 34 | Linear OA(4932, 66, F49, 24) (dual of [66, 34, 25]-code) | [i] | ||
| 35 | Linear OA(4931, 66, F49, 23) (dual of [66, 35, 24]-code) | [i] | ||
| 36 | Linear OA(4930, 66, F49, 22) (dual of [66, 36, 23]-code) | [i] | ||
| 37 | Linear OA(4929, 66, F49, 21) (dual of [66, 37, 22]-code) | [i] | ||
| 38 | Linear OA(4928, 66, F49, 20) (dual of [66, 38, 21]-code) | [i] | ||
| 39 | Linear OA(4927, 66, F49, 19) (dual of [66, 39, 20]-code) | [i] | ||
| 40 | Linear OA(4926, 66, F49, 18) (dual of [66, 40, 19]-code) | [i] | ||
| 41 | Linear OA(4954, 67, F49, 46) (dual of [67, 13, 47]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 42 | Linear OA(4951, 67, F49, 43) (dual of [67, 16, 44]-code) | [i] | ||
| 43 | Linear OA(4948, 67, F49, 40) (dual of [67, 19, 41]-code) | [i] | ||
| 44 | Linear OA(4945, 67, F49, 37) (dual of [67, 22, 38]-code) | [i] | ||
| 45 | Linear OA(4942, 67, F49, 34) (dual of [67, 25, 35]-code) | [i] | ||
| 46 | Linear OA(4939, 67, F49, 31) (dual of [67, 28, 32]-code) | [i] | ||
| 47 | Linear OA(4936, 67, F49, 28) (dual of [67, 31, 29]-code) | [i] | ||
| 48 | Linear OA(4933, 67, F49, 25) (dual of [67, 34, 26]-code) | [i] | ||
| 49 | Linear OA(4930, 67, F49, 22) (dual of [67, 37, 23]-code) | [i] | ||
| 50 | Linear OA(4927, 67, F49, 19) (dual of [67, 40, 20]-code) | [i] | ||
| 51 | Linear OA(4955, 67, F49, 47) (dual of [67, 12, 48]-code) | [i] | ||
| 52 | Linear OA(4952, 67, F49, 44) (dual of [67, 15, 45]-code) | [i] | ||
| 53 | Linear OA(4949, 67, F49, 41) (dual of [67, 18, 42]-code) | [i] | ||
| 54 | Linear OA(4946, 67, F49, 38) (dual of [67, 21, 39]-code) | [i] | ||
| 55 | Linear OA(4943, 67, F49, 35) (dual of [67, 24, 36]-code) | [i] | ||
| 56 | Linear OA(4940, 67, F49, 32) (dual of [67, 27, 33]-code) | [i] | ||
| 57 | Linear OA(4937, 67, F49, 29) (dual of [67, 30, 30]-code) | [i] | ||
| 58 | Linear OA(4934, 67, F49, 26) (dual of [67, 33, 27]-code) | [i] | ||
| 59 | Linear OA(4931, 67, F49, 23) (dual of [67, 36, 24]-code) | [i] | ||
| 60 | Linear OA(4928, 67, F49, 20) (dual of [67, 39, 21]-code) | [i] | ||
| 61 | Linear OA(4953, 67, F49, 45) (dual of [67, 14, 46]-code) | [i] | ||
| 62 | Linear OA(4950, 67, F49, 42) (dual of [67, 17, 43]-code) | [i] | ||
| 63 | Linear OA(4947, 67, F49, 39) (dual of [67, 20, 40]-code) | [i] | ||
| 64 | Linear OA(4944, 67, F49, 36) (dual of [67, 23, 37]-code) | [i] | ||
| 65 | Linear OA(4941, 67, F49, 33) (dual of [67, 26, 34]-code) | [i] | ||
| 66 | Linear OA(4938, 67, F49, 30) (dual of [67, 29, 31]-code) | [i] | ||
| 67 | Linear OA(4935, 67, F49, 27) (dual of [67, 32, 28]-code) | [i] | ||
| 68 | Linear OA(4932, 67, F49, 24) (dual of [67, 35, 25]-code) | [i] | ||
| 69 | Linear OA(4929, 67, F49, 21) (dual of [67, 38, 22]-code) | [i] | ||
| 70 | Linear OA(4926, 67, F49, 18) (dual of [67, 41, 19]-code) | [i] | ||
| 71 | Linear OA(4955, 108, F49, 44) (dual of [108, 53, 45]-code) | [i] | ||
| 72 | Linear OA(4954, 108, F49, 43) (dual of [108, 54, 44]-code) | [i] | ||
| 73 | Linear OA(4953, 108, F49, 42) (dual of [108, 55, 43]-code) | [i] | ||
| 74 | Linear OA(4952, 108, F49, 41) (dual of [108, 56, 42]-code) | [i] | ||
| 75 | Linear OA(4951, 108, F49, 40) (dual of [108, 57, 41]-code) | [i] | ||
| 76 | Linear OA(4950, 108, F49, 39) (dual of [108, 58, 40]-code) | [i] | ||
| 77 | Linear OA(4949, 108, F49, 38) (dual of [108, 59, 39]-code) | [i] | ||
| 78 | Linear OA(4948, 108, F49, 37) (dual of [108, 60, 38]-code) | [i] | ||
| 79 | Linear OA(4947, 108, F49, 36) (dual of [108, 61, 37]-code) | [i] | ||
| 80 | Linear OA(4946, 108, F49, 35) (dual of [108, 62, 36]-code) | [i] | ||
| 81 | Linear OA(4945, 108, F49, 34) (dual of [108, 63, 35]-code) | [i] | ||
| 82 | Linear OA(4944, 108, F49, 33) (dual of [108, 64, 34]-code) | [i] | ||
| 83 | Linear OA(4943, 108, F49, 32) (dual of [108, 65, 33]-code) | [i] | ||
| 84 | Linear OA(4942, 108, F49, 31) (dual of [108, 66, 32]-code) | [i] | ||
| 85 | Linear OA(4941, 108, F49, 30) (dual of [108, 67, 31]-code) | [i] | ||
| 86 | Linear OA(4940, 108, F49, 29) (dual of [108, 68, 30]-code) | [i] | ||
| 87 | Linear OA(4939, 108, F49, 28) (dual of [108, 69, 29]-code) | [i] | ||
| 88 | Linear OA(4938, 108, F49, 27) (dual of [108, 70, 28]-code) | [i] | ||
| 89 | Linear OA(4937, 108, F49, 26) (dual of [108, 71, 27]-code) | [i] | ||
| 90 | Linear OA(4936, 108, F49, 25) (dual of [108, 72, 26]-code) | [i] | ||
| 91 | Linear OA(4935, 108, F49, 24) (dual of [108, 73, 25]-code) | [i] | ||
| 92 | Linear OA(4934, 108, F49, 23) (dual of [108, 74, 24]-code) | [i] | ||
| 93 | Linear OA(4933, 108, F49, 22) (dual of [108, 75, 23]-code) | [i] | ||
| 94 | Linear OA(4932, 108, F49, 21) (dual of [108, 76, 22]-code) | [i] | ||
| 95 | Linear OA(4931, 108, F49, 20) (dual of [108, 77, 21]-code) | [i] | ||
| 96 | Linear OA(4955, 2427, F49, 24) (dual of [2427, 2372, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 97 | Linear OA(4953, 2427, F49, 23) (dual of [2427, 2374, 24]-code) | [i] | ||
| 98 | Linear OA(4951, 2427, F49, 22) (dual of [2427, 2376, 23]-code) | [i] | ||
| 99 | Linear OA(4949, 2427, F49, 21) (dual of [2427, 2378, 22]-code) | [i] | ||
| 100 | Linear OA(4947, 2427, F49, 20) (dual of [2427, 2380, 21]-code) | [i] | ||
| 101 | Linear OA(4945, 2427, F49, 19) (dual of [2427, 2382, 20]-code) | [i] | ||
| 102 | Linear OA(4943, 2427, F49, 18) (dual of [2427, 2384, 19]-code) | [i] | ||