Information on Result #606467
Linear OA(4913, 49, F49, 13) (dual of [49, 36, 14]-code or 49-arc in PG(12,49)), using Reed–Solomon code RS(36,49)
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(752, 78, F7, 27) (dual of [78, 26, 28]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(751, 75, F7, 27) (dual of [75, 24, 28]-code) | [i] | ||
| 3 | Linear OA(750, 72, F7, 27) (dual of [72, 22, 28]-code) | [i] | ||
| 4 | Linear OA(749, 69, F7, 27) (dual of [69, 20, 28]-code) | [i] | ||
| 5 | Linear OA(748, 66, F7, 27) (dual of [66, 18, 28]-code) | [i] | ||
| 6 | Linear OA(747, 63, F7, 27) (dual of [63, 16, 28]-code) | [i] | ||
| 7 | Linear OA(746, 60, F7, 27) (dual of [60, 14, 28]-code) | [i] | ||
| 8 | Linear OA(766, 80, F7, 41) (dual of [80, 14, 42]-code) | [i] | ||
| 9 | Linear OA(764, 76, F7, 41) (dual of [76, 12, 42]-code) | [i] | ||
| 10 | Linear OA(762, 72, F7, 41) (dual of [72, 10, 42]-code) | [i] | ||
| 11 | Linear OA(760, 68, F7, 41) (dual of [68, 8, 42]-code) | [i] | ||
| 12 | Linear OA(780, 90, F7, 55) (dual of [90, 10, 56]-code) | [i] | ||
| 13 | Linear OA(777, 85, F7, 55) (dual of [85, 8, 56]-code) | [i] | ||
| 14 | Linear OA(774, 80, F7, 55) (dual of [80, 6, 56]-code) | [i] | ||
| 15 | Linear OA(794, 102, F7, 69) (dual of [102, 8, 70]-code) | [i] | ||
| 16 | Linear OA(790, 96, F7, 69) (dual of [96, 6, 70]-code) | [i] | ||
| 17 | Linear OA(7106, 112, F7, 83) (dual of [112, 6, 84]-code) | [i] | ||
| 18 | Linear OA(4916, 52, F49, 15) (dual of [52, 36, 16]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 19 | Linear OA(4914, 52, F49, 13) (dual of [52, 38, 14]-code) | [i] | ✔ | |
| 20 | Linear OA(4918, 54, F49, 16) (dual of [54, 36, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(4915, 54, F49, 13) (dual of [54, 39, 14]-code) | [i] | ✔ | |
| 22 | Linear OA(4920, 56, F49, 17) (dual of [56, 36, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(4916, 56, F49, 13) (dual of [56, 40, 14]-code) | [i] | ✔ | |
| 24 | Linear OA(4922, 58, F49, 18) (dual of [58, 36, 19]-code) | [i] | ✔ | |
| 25 | Linear OA(4917, 58, F49, 13) (dual of [58, 41, 14]-code) | [i] | ✔ | |
| 26 | Linear OA(4924, 60, F49, 19) (dual of [60, 36, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(4918, 60, F49, 13) (dual of [60, 42, 14]-code) | [i] | ✔ | |
| 28 | Linear OA(4926, 62, F49, 20) (dual of [62, 36, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(4928, 64, F49, 21) (dual of [64, 36, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(4930, 66, F49, 22) (dual of [66, 36, 23]-code) | [i] | ✔ | |
| 31 | Linear OA(4932, 68, F49, 23) (dual of [68, 36, 24]-code) | [i] | ✔ | |
| 32 | Linear OA(4934, 70, F49, 24) (dual of [70, 36, 25]-code) | [i] | ✔ | |
| 33 | Linear OA(4936, 72, F49, 25) (dual of [72, 36, 26]-code) | [i] | ✔ | |
| 34 | Linear OA(4938, 74, F49, 26) (dual of [74, 36, 27]-code) | [i] | ✔ | |
| 35 | Linear OA(4955, 76, F49, 42) (dual of [76, 21, 43]-code) | [i] | ||
| 36 | Linear OA(4954, 76, F49, 41) (dual of [76, 22, 42]-code) | [i] | ||
| 37 | Linear OA(4953, 76, F49, 40) (dual of [76, 23, 41]-code) | [i] | ||
| 38 | Linear OA(4952, 76, F49, 39) (dual of [76, 24, 40]-code) | [i] | ||
| 39 | Linear OA(4951, 76, F49, 38) (dual of [76, 25, 39]-code) | [i] | ||
| 40 | Linear OA(4950, 76, F49, 37) (dual of [76, 26, 38]-code) | [i] | ||
| 41 | Linear OA(4949, 76, F49, 36) (dual of [76, 27, 37]-code) | [i] | ||
| 42 | Linear OA(4948, 76, F49, 35) (dual of [76, 28, 36]-code) | [i] | ||
| 43 | Linear OA(4947, 76, F49, 34) (dual of [76, 29, 35]-code) | [i] | ||
| 44 | Linear OA(4946, 76, F49, 33) (dual of [76, 30, 34]-code) | [i] | ||
| 45 | Linear OA(4945, 76, F49, 32) (dual of [76, 31, 33]-code) | [i] | ||
| 46 | Linear OA(4944, 76, F49, 31) (dual of [76, 32, 32]-code) | [i] | ||
| 47 | Linear OA(4943, 76, F49, 30) (dual of [76, 33, 31]-code) | [i] | ||
| 48 | Linear OA(4942, 76, F49, 29) (dual of [76, 34, 30]-code) | [i] | ||
| 49 | Linear OA(4941, 76, F49, 28) (dual of [76, 35, 29]-code) | [i] | ||
| 50 | Linear OA(4954, 77, F49, 41) (dual of [77, 23, 42]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 51 | Linear OA(4952, 77, F49, 39) (dual of [77, 25, 40]-code) | [i] | ||
| 52 | Linear OA(4950, 77, F49, 37) (dual of [77, 27, 38]-code) | [i] | ||
| 53 | Linear OA(4948, 77, F49, 35) (dual of [77, 29, 36]-code) | [i] | ||
| 54 | Linear OA(4946, 77, F49, 33) (dual of [77, 31, 34]-code) | [i] | ||
| 55 | Linear OA(4944, 77, F49, 31) (dual of [77, 33, 32]-code) | [i] | ||
| 56 | Linear OA(4942, 77, F49, 29) (dual of [77, 35, 30]-code) | [i] | ||
| 57 | Linear OA(4955, 77, F49, 42) (dual of [77, 22, 43]-code) | [i] | ||
| 58 | Linear OA(4953, 77, F49, 40) (dual of [77, 24, 41]-code) | [i] | ||
| 59 | Linear OA(4951, 77, F49, 38) (dual of [77, 26, 39]-code) | [i] | ||
| 60 | Linear OA(4949, 77, F49, 36) (dual of [77, 28, 37]-code) | [i] | ||
| 61 | Linear OA(4947, 77, F49, 34) (dual of [77, 30, 35]-code) | [i] | ||
| 62 | Linear OA(4945, 77, F49, 32) (dual of [77, 32, 33]-code) | [i] | ||
| 63 | Linear OA(4943, 77, F49, 30) (dual of [77, 34, 31]-code) | [i] | ||
| 64 | Linear OA(4941, 77, F49, 28) (dual of [77, 36, 29]-code) | [i] | ||
| 65 | Linear OA(4955, 118, F49, 39) (dual of [118, 63, 40]-code) | [i] | ||
| 66 | Linear OA(4954, 118, F49, 38) (dual of [118, 64, 39]-code) | [i] | ||
| 67 | Linear OA(4953, 118, F49, 37) (dual of [118, 65, 38]-code) | [i] | ||
| 68 | Linear OA(4952, 118, F49, 36) (dual of [118, 66, 37]-code) | [i] | ||
| 69 | Linear OA(4951, 118, F49, 35) (dual of [118, 67, 36]-code) | [i] | ||
| 70 | Linear OA(4950, 118, F49, 34) (dual of [118, 68, 35]-code) | [i] | ||