Information on Result #606465
Linear OA(4911, 49, F49, 11) (dual of [49, 38, 12]-code or 49-arc in PG(10,49)), using Reed–Solomon code RS(38,49)
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(745, 69, F7, 23) (dual of [69, 24, 24]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(744, 66, F7, 23) (dual of [66, 22, 24]-code) | [i] | ||
| 3 | Linear OA(756, 68, F7, 35) (dual of [68, 12, 36]-code) | [i] | ||
| 4 | Linear OA(754, 64, F7, 35) (dual of [64, 10, 36]-code) | [i] | ||
| 5 | Linear OA(752, 60, F7, 35) (dual of [60, 8, 36]-code) | [i] | ||
| 6 | Linear OA(767, 75, F7, 47) (dual of [75, 8, 48]-code) | [i] | ||
| 7 | Linear OA(778, 84, F7, 59) (dual of [84, 6, 60]-code) | [i] | ||
| 8 | Linear OA(792, 98, F7, 71) (dual of [98, 6, 72]-code) | [i] | ||
| 9 | Linear OA(4914, 52, F49, 13) (dual of [52, 38, 14]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 10 | Linear OA(4912, 52, F49, 11) (dual of [52, 40, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(4916, 54, F49, 14) (dual of [54, 38, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(4913, 54, F49, 11) (dual of [54, 41, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(4918, 56, F49, 15) (dual of [56, 38, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(4914, 56, F49, 11) (dual of [56, 42, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(4920, 58, F49, 16) (dual of [58, 38, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(4915, 58, F49, 11) (dual of [58, 43, 12]-code) | [i] | ✔ | |
| 17 | Linear OA(4922, 60, F49, 17) (dual of [60, 38, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(4924, 62, F49, 18) (dual of [62, 38, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(4926, 64, F49, 19) (dual of [64, 38, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(4928, 66, F49, 20) (dual of [66, 38, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(4930, 68, F49, 21) (dual of [68, 38, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(4932, 70, F49, 22) (dual of [70, 38, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(4955, 72, F49, 44) (dual of [72, 17, 45]-code) | [i] | ||
| 24 | Linear OA(4954, 72, F49, 43) (dual of [72, 18, 44]-code) | [i] | ||
| 25 | Linear OA(4953, 72, F49, 42) (dual of [72, 19, 43]-code) | [i] | ||
| 26 | Linear OA(4952, 72, F49, 41) (dual of [72, 20, 42]-code) | [i] | ||
| 27 | Linear OA(4951, 72, F49, 40) (dual of [72, 21, 41]-code) | [i] | ||
| 28 | Linear OA(4950, 72, F49, 39) (dual of [72, 22, 40]-code) | [i] | ||
| 29 | Linear OA(4949, 72, F49, 38) (dual of [72, 23, 39]-code) | [i] | ||
| 30 | Linear OA(4948, 72, F49, 37) (dual of [72, 24, 38]-code) | [i] | ||
| 31 | Linear OA(4947, 72, F49, 36) (dual of [72, 25, 37]-code) | [i] | ||
| 32 | Linear OA(4946, 72, F49, 35) (dual of [72, 26, 36]-code) | [i] | ||
| 33 | Linear OA(4945, 72, F49, 34) (dual of [72, 27, 35]-code) | [i] | ||
| 34 | Linear OA(4944, 72, F49, 33) (dual of [72, 28, 34]-code) | [i] | ||
| 35 | Linear OA(4943, 72, F49, 32) (dual of [72, 29, 33]-code) | [i] | ||
| 36 | Linear OA(4942, 72, F49, 31) (dual of [72, 30, 32]-code) | [i] | ||
| 37 | Linear OA(4941, 72, F49, 30) (dual of [72, 31, 31]-code) | [i] | ||
| 38 | Linear OA(4940, 72, F49, 29) (dual of [72, 32, 30]-code) | [i] | ||
| 39 | Linear OA(4939, 72, F49, 28) (dual of [72, 33, 29]-code) | [i] | ||
| 40 | Linear OA(4938, 72, F49, 27) (dual of [72, 34, 28]-code) | [i] | ||
| 41 | Linear OA(4937, 72, F49, 26) (dual of [72, 35, 27]-code) | [i] | ||
| 42 | Linear OA(4936, 72, F49, 25) (dual of [72, 36, 26]-code) | [i] | ||
| 43 | Linear OA(4935, 72, F49, 24) (dual of [72, 37, 25]-code) | [i] | ||
| 44 | Linear OA(4954, 73, F49, 43) (dual of [73, 19, 44]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 45 | Linear OA(4952, 73, F49, 41) (dual of [73, 21, 42]-code) | [i] | ||
| 46 | Linear OA(4950, 73, F49, 39) (dual of [73, 23, 40]-code) | [i] | ||
| 47 | Linear OA(4948, 73, F49, 37) (dual of [73, 25, 38]-code) | [i] | ||
| 48 | Linear OA(4946, 73, F49, 35) (dual of [73, 27, 36]-code) | [i] | ||
| 49 | Linear OA(4944, 73, F49, 33) (dual of [73, 29, 34]-code) | [i] | ||
| 50 | Linear OA(4942, 73, F49, 31) (dual of [73, 31, 32]-code) | [i] | ||
| 51 | Linear OA(4940, 73, F49, 29) (dual of [73, 33, 30]-code) | [i] | ||
| 52 | Linear OA(4938, 73, F49, 27) (dual of [73, 35, 28]-code) | [i] | ||
| 53 | Linear OA(4936, 73, F49, 25) (dual of [73, 37, 26]-code) | [i] | ||
| 54 | Linear OA(4955, 73, F49, 44) (dual of [73, 18, 45]-code) | [i] | ||
| 55 | Linear OA(4953, 73, F49, 42) (dual of [73, 20, 43]-code) | [i] | ||
| 56 | Linear OA(4951, 73, F49, 40) (dual of [73, 22, 41]-code) | [i] | ||
| 57 | Linear OA(4949, 73, F49, 38) (dual of [73, 24, 39]-code) | [i] | ||
| 58 | Linear OA(4947, 73, F49, 36) (dual of [73, 26, 37]-code) | [i] | ||
| 59 | Linear OA(4945, 73, F49, 34) (dual of [73, 28, 35]-code) | [i] | ||
| 60 | Linear OA(4943, 73, F49, 32) (dual of [73, 30, 33]-code) | [i] | ||
| 61 | Linear OA(4941, 73, F49, 30) (dual of [73, 32, 31]-code) | [i] | ||
| 62 | Linear OA(4939, 73, F49, 28) (dual of [73, 34, 29]-code) | [i] | ||
| 63 | Linear OA(4937, 73, F49, 26) (dual of [73, 36, 27]-code) | [i] | ||
| 64 | Linear OA(4935, 73, F49, 24) (dual of [73, 38, 25]-code) | [i] | ||
| 65 | Linear OA(4955, 114, F49, 41) (dual of [114, 59, 42]-code) | [i] | ||
| 66 | Linear OA(4954, 114, F49, 40) (dual of [114, 60, 41]-code) | [i] | ||
| 67 | Linear OA(4953, 114, F49, 39) (dual of [114, 61, 40]-code) | [i] | ||
| 68 | Linear OA(4952, 114, F49, 38) (dual of [114, 62, 39]-code) | [i] | ||
| 69 | Linear OA(4951, 114, F49, 37) (dual of [114, 63, 38]-code) | [i] | ||
| 70 | Linear OA(4950, 114, F49, 36) (dual of [114, 64, 37]-code) | [i] | ||
| 71 | Linear OA(4949, 114, F49, 35) (dual of [114, 65, 36]-code) | [i] | ||
| 72 | Linear OA(4948, 114, F49, 34) (dual of [114, 66, 35]-code) | [i] | ||
| 73 | Linear OA(4947, 114, F49, 33) (dual of [114, 67, 34]-code) | [i] | ||
| 74 | Linear OA(4946, 114, F49, 32) (dual of [114, 68, 33]-code) | [i] | ||
| 75 | Linear OA(4945, 114, F49, 31) (dual of [114, 69, 32]-code) | [i] | ||
| 76 | Linear OA(4944, 114, F49, 30) (dual of [114, 70, 31]-code) | [i] | ||
| 77 | Linear OA(4943, 114, F49, 29) (dual of [114, 71, 30]-code) | [i] | ||
| 78 | Linear OA(4942, 114, F49, 28) (dual of [114, 72, 29]-code) | [i] | ||