Information on Result #606464
Linear OA(4910, 49, F49, 10) (dual of [49, 39, 11]-code or 49-arc in PG(9,49)), using Reed–Solomon code RS(39,49)
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(741, 63, F7, 21) (dual of [63, 22, 22]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(752, 64, F7, 32) (dual of [64, 12, 33]-code) | [i] | ||
| 3 | Linear OA(762, 70, F7, 43) (dual of [70, 8, 44]-code) | [i] | ||
| 4 | Linear OA(772, 78, F7, 54) (dual of [78, 6, 55]-code) | [i] | ||
| 5 | Linear OA(785, 91, F7, 65) (dual of [91, 6, 66]-code) | [i] | ||
| 6 | Linear OA(4913, 52, F49, 12) (dual of [52, 39, 13]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 7 | Linear OA(4911, 52, F49, 10) (dual of [52, 41, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(4915, 54, F49, 13) (dual of [54, 39, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(4912, 54, F49, 10) (dual of [54, 42, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(4917, 56, F49, 14) (dual of [56, 39, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(4913, 56, F49, 10) (dual of [56, 43, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(4919, 58, F49, 15) (dual of [58, 39, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(4914, 58, F49, 10) (dual of [58, 44, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(4921, 60, F49, 16) (dual of [60, 39, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(4923, 62, F49, 17) (dual of [62, 39, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(4925, 64, F49, 18) (dual of [64, 39, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(4927, 66, F49, 19) (dual of [66, 39, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(4929, 68, F49, 20) (dual of [68, 39, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(4955, 70, F49, 45) (dual of [70, 15, 46]-code) | [i] | ||
| 20 | Linear OA(4954, 70, F49, 44) (dual of [70, 16, 45]-code) | [i] | ||
| 21 | Linear OA(4953, 70, F49, 43) (dual of [70, 17, 44]-code) | [i] | ||
| 22 | Linear OA(4952, 70, F49, 42) (dual of [70, 18, 43]-code) | [i] | ||
| 23 | Linear OA(4951, 70, F49, 41) (dual of [70, 19, 42]-code) | [i] | ||
| 24 | Linear OA(4950, 70, F49, 40) (dual of [70, 20, 41]-code) | [i] | ||
| 25 | Linear OA(4949, 70, F49, 39) (dual of [70, 21, 40]-code) | [i] | ||
| 26 | Linear OA(4948, 70, F49, 38) (dual of [70, 22, 39]-code) | [i] | ||
| 27 | Linear OA(4947, 70, F49, 37) (dual of [70, 23, 38]-code) | [i] | ||
| 28 | Linear OA(4946, 70, F49, 36) (dual of [70, 24, 37]-code) | [i] | ||
| 29 | Linear OA(4945, 70, F49, 35) (dual of [70, 25, 36]-code) | [i] | ||
| 30 | Linear OA(4944, 70, F49, 34) (dual of [70, 26, 35]-code) | [i] | ||
| 31 | Linear OA(4943, 70, F49, 33) (dual of [70, 27, 34]-code) | [i] | ||
| 32 | Linear OA(4942, 70, F49, 32) (dual of [70, 28, 33]-code) | [i] | ||
| 33 | Linear OA(4941, 70, F49, 31) (dual of [70, 29, 32]-code) | [i] | ||
| 34 | Linear OA(4940, 70, F49, 30) (dual of [70, 30, 31]-code) | [i] | ||
| 35 | Linear OA(4939, 70, F49, 29) (dual of [70, 31, 30]-code) | [i] | ||
| 36 | Linear OA(4938, 70, F49, 28) (dual of [70, 32, 29]-code) | [i] | ||
| 37 | Linear OA(4937, 70, F49, 27) (dual of [70, 33, 28]-code) | [i] | ||
| 38 | Linear OA(4936, 70, F49, 26) (dual of [70, 34, 27]-code) | [i] | ||
| 39 | Linear OA(4935, 70, F49, 25) (dual of [70, 35, 26]-code) | [i] | ||
| 40 | Linear OA(4934, 70, F49, 24) (dual of [70, 36, 25]-code) | [i] | ||
| 41 | Linear OA(4933, 70, F49, 23) (dual of [70, 37, 24]-code) | [i] | ||
| 42 | Linear OA(4932, 70, F49, 22) (dual of [70, 38, 23]-code) | [i] | ||
| 43 | Linear OA(4955, 112, F49, 42) (dual of [112, 57, 43]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 44 | Linear OA(4954, 112, F49, 41) (dual of [112, 58, 42]-code) | [i] | ||
| 45 | Linear OA(4953, 112, F49, 40) (dual of [112, 59, 41]-code) | [i] | ||
| 46 | Linear OA(4952, 112, F49, 39) (dual of [112, 60, 40]-code) | [i] | ||
| 47 | Linear OA(4951, 112, F49, 38) (dual of [112, 61, 39]-code) | [i] | ||
| 48 | Linear OA(4950, 112, F49, 37) (dual of [112, 62, 38]-code) | [i] | ||
| 49 | Linear OA(4949, 112, F49, 36) (dual of [112, 63, 37]-code) | [i] | ||
| 50 | Linear OA(4948, 112, F49, 35) (dual of [112, 64, 36]-code) | [i] | ||
| 51 | Linear OA(4947, 112, F49, 34) (dual of [112, 65, 35]-code) | [i] | ||
| 52 | Linear OA(4946, 112, F49, 33) (dual of [112, 66, 34]-code) | [i] | ||
| 53 | Linear OA(4945, 112, F49, 32) (dual of [112, 67, 33]-code) | [i] | ||
| 54 | Linear OA(4944, 112, F49, 31) (dual of [112, 68, 32]-code) | [i] | ||
| 55 | Linear OA(4943, 112, F49, 30) (dual of [112, 69, 31]-code) | [i] | ||
| 56 | Linear OA(4942, 112, F49, 29) (dual of [112, 70, 30]-code) | [i] | ||
| 57 | Linear OA(4941, 112, F49, 28) (dual of [112, 71, 29]-code) | [i] | ||
| 58 | Linear OA(4940, 112, F49, 27) (dual of [112, 72, 28]-code) | [i] | ||
| 59 | Linear OA(4939, 112, F49, 26) (dual of [112, 73, 27]-code) | [i] | ||
| 60 | Linear OA(4938, 112, F49, 25) (dual of [112, 74, 26]-code) | [i] | ||
| 61 | Linear OA(4955, 2433, F49, 23) (dual of [2433, 2378, 24]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 62 | Linear OA(4953, 2433, F49, 22) (dual of [2433, 2380, 23]-code) | [i] | ||