Information on Result #606469
Linear OA(4915, 49, F49, 15) (dual of [49, 34, 16]-code or 49-arc in PG(14,49)), using Reed–Solomon code RS(34,49)
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(4953, 57, F49, 47) (dual of [57, 4, 48]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(761, 93, F7, 31) (dual of [93, 32, 32]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(760, 90, F7, 31) (dual of [90, 30, 32]-code) | [i] | ||
| 4 | Linear OA(759, 87, F7, 31) (dual of [87, 28, 32]-code) | [i] | ||
| 5 | Linear OA(758, 84, F7, 31) (dual of [84, 26, 32]-code) | [i] | ||
| 6 | Linear OA(757, 81, F7, 31) (dual of [81, 24, 32]-code) | [i] | ||
| 7 | Linear OA(756, 78, F7, 31) (dual of [78, 22, 32]-code) | [i] | ||
| 8 | Linear OA(755, 75, F7, 31) (dual of [75, 20, 32]-code) | [i] | ||
| 9 | Linear OA(754, 72, F7, 31) (dual of [72, 18, 32]-code) | [i] | ||
| 10 | Linear OA(753, 69, F7, 31) (dual of [69, 16, 32]-code) | [i] | ||
| 11 | Linear OA(752, 66, F7, 31) (dual of [66, 14, 32]-code) | [i] | ||
| 12 | Linear OA(751, 63, F7, 31) (dual of [63, 12, 32]-code) | [i] | ||
| 13 | Linear OA(776, 92, F7, 47) (dual of [92, 16, 48]-code) | [i] | ||
| 14 | Linear OA(774, 88, F7, 47) (dual of [88, 14, 48]-code) | [i] | ||
| 15 | Linear OA(772, 84, F7, 47) (dual of [84, 12, 48]-code) | [i] | ||
| 16 | Linear OA(770, 80, F7, 47) (dual of [80, 10, 48]-code) | [i] | ||
| 17 | Linear OA(768, 76, F7, 47) (dual of [76, 8, 48]-code) | [i] | ||
| 18 | Linear OA(793, 105, F7, 63) (dual of [105, 12, 64]-code) | [i] | ||
| 19 | Linear OA(790, 100, F7, 63) (dual of [100, 10, 64]-code) | [i] | ||
| 20 | Linear OA(7106, 114, F7, 79) (dual of [114, 8, 80]-code) | [i] | ||
| 21 | Linear OA(7102, 108, F7, 79) (dual of [108, 6, 80]-code) | [i] | ||
| 22 | Linear OA(4918, 52, F49, 17) (dual of [52, 34, 18]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 23 | Linear OA(4916, 52, F49, 15) (dual of [52, 36, 16]-code) | [i] | ✔ | |
| 24 | Linear OA(4920, 54, F49, 18) (dual of [54, 34, 19]-code) | [i] | ✔ | |
| 25 | Linear OA(4917, 54, F49, 15) (dual of [54, 37, 16]-code) | [i] | ✔ | |
| 26 | Linear OA(4922, 56, F49, 19) (dual of [56, 34, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(4918, 56, F49, 15) (dual of [56, 38, 16]-code) | [i] | ✔ | |
| 28 | Linear OA(4924, 58, F49, 20) (dual of [58, 34, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(4919, 58, F49, 15) (dual of [58, 39, 16]-code) | [i] | ✔ | |
| 30 | Linear OA(4926, 60, F49, 21) (dual of [60, 34, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(4920, 60, F49, 15) (dual of [60, 40, 16]-code) | [i] | ✔ | |
| 32 | Linear OA(4928, 62, F49, 22) (dual of [62, 34, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(4921, 62, F49, 15) (dual of [62, 41, 16]-code) | [i] | ✔ | |
| 34 | Linear OA(4930, 64, F49, 23) (dual of [64, 34, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(4932, 66, F49, 24) (dual of [66, 34, 25]-code) | [i] | ✔ | |
| 36 | Linear OA(4934, 68, F49, 25) (dual of [68, 34, 26]-code) | [i] | ✔ | |
| 37 | Linear OA(4936, 70, F49, 26) (dual of [70, 34, 27]-code) | [i] | ✔ | |
| 38 | Linear OA(4938, 72, F49, 27) (dual of [72, 34, 28]-code) | [i] | ✔ | |
| 39 | Linear OA(4940, 74, F49, 28) (dual of [74, 34, 29]-code) | [i] | ✔ | |
| 40 | Linear OA(4942, 76, F49, 29) (dual of [76, 34, 30]-code) | [i] | ✔ | |
| 41 | Linear OA(4944, 78, F49, 30) (dual of [78, 34, 31]-code) | [i] | ✔ | |
| 42 | Linear OA(4955, 80, F49, 40) (dual of [80, 25, 41]-code) | [i] | ||
| 43 | Linear OA(4954, 80, F49, 39) (dual of [80, 26, 40]-code) | [i] | ||
| 44 | Linear OA(4953, 80, F49, 38) (dual of [80, 27, 39]-code) | [i] | ||
| 45 | Linear OA(4952, 80, F49, 37) (dual of [80, 28, 38]-code) | [i] | ||
| 46 | Linear OA(4951, 80, F49, 36) (dual of [80, 29, 37]-code) | [i] | ||
| 47 | Linear OA(4950, 80, F49, 35) (dual of [80, 30, 36]-code) | [i] | ||
| 48 | Linear OA(4949, 80, F49, 34) (dual of [80, 31, 35]-code) | [i] | ||
| 49 | Linear OA(4948, 80, F49, 33) (dual of [80, 32, 34]-code) | [i] | ||
| 50 | Linear OA(4947, 80, F49, 32) (dual of [80, 33, 33]-code) | [i] | ||
| 51 | Linear OA(4954, 81, F49, 39) (dual of [81, 27, 40]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 52 | Linear OA(4952, 81, F49, 37) (dual of [81, 29, 38]-code) | [i] | ||
| 53 | Linear OA(4950, 81, F49, 35) (dual of [81, 31, 36]-code) | [i] | ||
| 54 | Linear OA(4948, 81, F49, 33) (dual of [81, 33, 34]-code) | [i] | ||
| 55 | Linear OA(4955, 81, F49, 40) (dual of [81, 26, 41]-code) | [i] | ||
| 56 | Linear OA(4953, 81, F49, 38) (dual of [81, 28, 39]-code) | [i] | ||
| 57 | Linear OA(4951, 81, F49, 36) (dual of [81, 30, 37]-code) | [i] | ||
| 58 | Linear OA(4949, 81, F49, 34) (dual of [81, 32, 35]-code) | [i] | ||
| 59 | Linear OA(4947, 81, F49, 32) (dual of [81, 34, 33]-code) | [i] | ||