Information on Result #606463
Linear OA(499, 49, F49, 9) (dual of [49, 40, 10]-code or 49-arc in PG(8,49)), using Reed–Solomon code RS(40,49)
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(757, 65, F7, 39) (dual of [65, 8, 40]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(766, 72, F7, 49) (dual of [72, 6, 50]-code) | [i] | ||
| 3 | Linear OA(4912, 52, F49, 11) (dual of [52, 40, 12]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 4 | Linear OA(4910, 52, F49, 9) (dual of [52, 42, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(4914, 54, F49, 12) (dual of [54, 40, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(4911, 54, F49, 9) (dual of [54, 43, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(4916, 56, F49, 13) (dual of [56, 40, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(4912, 56, F49, 9) (dual of [56, 44, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(4918, 58, F49, 14) (dual of [58, 40, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(4920, 60, F49, 15) (dual of [60, 40, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(4922, 62, F49, 16) (dual of [62, 40, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(4924, 64, F49, 17) (dual of [64, 40, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(4926, 66, F49, 18) (dual of [66, 40, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(4955, 68, F49, 46) (dual of [68, 13, 47]-code) | [i] | ||
| 15 | Linear OA(4954, 68, F49, 45) (dual of [68, 14, 46]-code) | [i] | ||
| 16 | Linear OA(4953, 68, F49, 44) (dual of [68, 15, 45]-code) | [i] | ||
| 17 | Linear OA(4952, 68, F49, 43) (dual of [68, 16, 44]-code) | [i] | ||
| 18 | Linear OA(4951, 68, F49, 42) (dual of [68, 17, 43]-code) | [i] | ||
| 19 | Linear OA(4950, 68, F49, 41) (dual of [68, 18, 42]-code) | [i] | ||
| 20 | Linear OA(4949, 68, F49, 40) (dual of [68, 19, 41]-code) | [i] | ||
| 21 | Linear OA(4948, 68, F49, 39) (dual of [68, 20, 40]-code) | [i] | ||
| 22 | Linear OA(4947, 68, F49, 38) (dual of [68, 21, 39]-code) | [i] | ||
| 23 | Linear OA(4946, 68, F49, 37) (dual of [68, 22, 38]-code) | [i] | ||
| 24 | Linear OA(4945, 68, F49, 36) (dual of [68, 23, 37]-code) | [i] | ||
| 25 | Linear OA(4944, 68, F49, 35) (dual of [68, 24, 36]-code) | [i] | ||
| 26 | Linear OA(4943, 68, F49, 34) (dual of [68, 25, 35]-code) | [i] | ||
| 27 | Linear OA(4942, 68, F49, 33) (dual of [68, 26, 34]-code) | [i] | ||
| 28 | Linear OA(4941, 68, F49, 32) (dual of [68, 27, 33]-code) | [i] | ||
| 29 | Linear OA(4940, 68, F49, 31) (dual of [68, 28, 32]-code) | [i] | ||
| 30 | Linear OA(4939, 68, F49, 30) (dual of [68, 29, 31]-code) | [i] | ||
| 31 | Linear OA(4938, 68, F49, 29) (dual of [68, 30, 30]-code) | [i] | ||
| 32 | Linear OA(4937, 68, F49, 28) (dual of [68, 31, 29]-code) | [i] | ||
| 33 | Linear OA(4936, 68, F49, 27) (dual of [68, 32, 28]-code) | [i] | ||
| 34 | Linear OA(4935, 68, F49, 26) (dual of [68, 33, 27]-code) | [i] | ||
| 35 | Linear OA(4934, 68, F49, 25) (dual of [68, 34, 26]-code) | [i] | ||
| 36 | Linear OA(4933, 68, F49, 24) (dual of [68, 35, 25]-code) | [i] | ||
| 37 | Linear OA(4932, 68, F49, 23) (dual of [68, 36, 24]-code) | [i] | ||
| 38 | Linear OA(4931, 68, F49, 22) (dual of [68, 37, 23]-code) | [i] | ||
| 39 | Linear OA(4930, 68, F49, 21) (dual of [68, 38, 22]-code) | [i] | ||
| 40 | Linear OA(4929, 68, F49, 20) (dual of [68, 39, 21]-code) | [i] | ||
| 41 | Linear OA(4954, 69, F49, 45) (dual of [69, 15, 46]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 42 | Linear OA(4952, 69, F49, 43) (dual of [69, 17, 44]-code) | [i] | ||
| 43 | Linear OA(4950, 69, F49, 41) (dual of [69, 19, 42]-code) | [i] | ||
| 44 | Linear OA(4948, 69, F49, 39) (dual of [69, 21, 40]-code) | [i] | ||
| 45 | Linear OA(4946, 69, F49, 37) (dual of [69, 23, 38]-code) | [i] | ||
| 46 | Linear OA(4944, 69, F49, 35) (dual of [69, 25, 36]-code) | [i] | ||
| 47 | Linear OA(4942, 69, F49, 33) (dual of [69, 27, 34]-code) | [i] | ||
| 48 | Linear OA(4940, 69, F49, 31) (dual of [69, 29, 32]-code) | [i] | ||
| 49 | Linear OA(4938, 69, F49, 29) (dual of [69, 31, 30]-code) | [i] | ||
| 50 | Linear OA(4936, 69, F49, 27) (dual of [69, 33, 28]-code) | [i] | ||
| 51 | Linear OA(4934, 69, F49, 25) (dual of [69, 35, 26]-code) | [i] | ||
| 52 | Linear OA(4932, 69, F49, 23) (dual of [69, 37, 24]-code) | [i] | ||
| 53 | Linear OA(4930, 69, F49, 21) (dual of [69, 39, 22]-code) | [i] | ||
| 54 | Linear OA(4955, 69, F49, 46) (dual of [69, 14, 47]-code) | [i] | ||
| 55 | Linear OA(4953, 69, F49, 44) (dual of [69, 16, 45]-code) | [i] | ||
| 56 | Linear OA(4951, 69, F49, 42) (dual of [69, 18, 43]-code) | [i] | ||
| 57 | Linear OA(4949, 69, F49, 40) (dual of [69, 20, 41]-code) | [i] | ||
| 58 | Linear OA(4947, 69, F49, 38) (dual of [69, 22, 39]-code) | [i] | ||
| 59 | Linear OA(4945, 69, F49, 36) (dual of [69, 24, 37]-code) | [i] | ||
| 60 | Linear OA(4943, 69, F49, 34) (dual of [69, 26, 35]-code) | [i] | ||
| 61 | Linear OA(4941, 69, F49, 32) (dual of [69, 28, 33]-code) | [i] | ||
| 62 | Linear OA(4939, 69, F49, 30) (dual of [69, 30, 31]-code) | [i] | ||
| 63 | Linear OA(4937, 69, F49, 28) (dual of [69, 32, 29]-code) | [i] | ||
| 64 | Linear OA(4935, 69, F49, 26) (dual of [69, 34, 27]-code) | [i] | ||
| 65 | Linear OA(4933, 69, F49, 24) (dual of [69, 36, 25]-code) | [i] | ||
| 66 | Linear OA(4931, 69, F49, 22) (dual of [69, 38, 23]-code) | [i] | ||
| 67 | Linear OA(4929, 69, F49, 20) (dual of [69, 40, 21]-code) | [i] | ||
| 68 | Linear OA(4955, 110, F49, 43) (dual of [110, 55, 44]-code) | [i] | ||
| 69 | Linear OA(4954, 110, F49, 42) (dual of [110, 56, 43]-code) | [i] | ||
| 70 | Linear OA(4953, 110, F49, 41) (dual of [110, 57, 42]-code) | [i] | ||
| 71 | Linear OA(4952, 110, F49, 40) (dual of [110, 58, 41]-code) | [i] | ||
| 72 | Linear OA(4951, 110, F49, 39) (dual of [110, 59, 40]-code) | [i] | ||
| 73 | Linear OA(4950, 110, F49, 38) (dual of [110, 60, 39]-code) | [i] | ||
| 74 | Linear OA(4949, 110, F49, 37) (dual of [110, 61, 38]-code) | [i] | ||
| 75 | Linear OA(4948, 110, F49, 36) (dual of [110, 62, 37]-code) | [i] | ||
| 76 | Linear OA(4947, 110, F49, 35) (dual of [110, 63, 36]-code) | [i] | ||
| 77 | Linear OA(4946, 110, F49, 34) (dual of [110, 64, 35]-code) | [i] | ||
| 78 | Linear OA(4945, 110, F49, 33) (dual of [110, 65, 34]-code) | [i] | ||
| 79 | Linear OA(4944, 110, F49, 32) (dual of [110, 66, 33]-code) | [i] | ||
| 80 | Linear OA(4943, 110, F49, 31) (dual of [110, 67, 32]-code) | [i] | ||
| 81 | Linear OA(4942, 110, F49, 30) (dual of [110, 68, 31]-code) | [i] | ||
| 82 | Linear OA(4941, 110, F49, 29) (dual of [110, 69, 30]-code) | [i] | ||
| 83 | Linear OA(4940, 110, F49, 28) (dual of [110, 70, 29]-code) | [i] | ||
| 84 | Linear OA(4939, 110, F49, 27) (dual of [110, 71, 28]-code) | [i] | ||
| 85 | Linear OA(4938, 110, F49, 26) (dual of [110, 72, 27]-code) | [i] | ||
| 86 | Linear OA(4937, 110, F49, 25) (dual of [110, 73, 26]-code) | [i] | ||
| 87 | Linear OA(4936, 110, F49, 24) (dual of [110, 74, 25]-code) | [i] | ||
| 88 | Linear OA(4935, 110, F49, 23) (dual of [110, 75, 24]-code) | [i] | ||
| 89 | Linear OA(4934, 110, F49, 22) (dual of [110, 76, 23]-code) | [i] | ||
| 90 | Linear OA(4954, 2431, F49, 23) (dual of [2431, 2377, 24]-code) | [i] | Construction X with Cyclic Codes | |
| 91 | Linear OA(4950, 2431, F49, 21) (dual of [2431, 2381, 22]-code) | [i] | ||
| 92 | Linear OA(4952, 2430, F49, 22) (dual of [2430, 2378, 23]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 93 | Linear OA(4948, 2430, F49, 20) (dual of [2430, 2382, 21]-code) | [i] | ||