Information on Result #606486
Linear OA(4932, 49, F49, 32) (dual of [49, 17, 33]-code or 49-arc in PG(31,49)), using Reed–Solomon code RS(17,49)
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(7110, 138, F7, 65) (dual of [138, 28, 66]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(7109, 135, F7, 65) (dual of [135, 26, 66]-code) | [i] | ||
| 3 | Linear OA(7108, 132, F7, 65) (dual of [132, 24, 66]-code) | [i] | ||
| 4 | Linear OA(7107, 129, F7, 65) (dual of [129, 22, 66]-code) | [i] | ||
| 5 | Linear OA(7106, 126, F7, 65) (dual of [126, 20, 66]-code) | [i] | ||
| 6 | Linear OA(7105, 123, F7, 65) (dual of [123, 18, 66]-code) | [i] | ||
| 7 | Linear OA(7104, 120, F7, 65) (dual of [120, 16, 66]-code) | [i] | ||
| 8 | Linear OA(7103, 117, F7, 65) (dual of [117, 14, 66]-code) | [i] | ||
| 9 | Linear OA(7102, 114, F7, 65) (dual of [114, 12, 66]-code) | [i] | ||
| 10 | Linear OA(7101, 111, F7, 65) (dual of [111, 10, 66]-code) | [i] | ||
| 11 | Linear OA(4935, 52, F49, 34) (dual of [52, 17, 35]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 12 | Linear OA(4933, 52, F49, 32) (dual of [52, 19, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(4937, 54, F49, 35) (dual of [54, 17, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(4934, 54, F49, 32) (dual of [54, 20, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(4939, 56, F49, 36) (dual of [56, 17, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(4935, 56, F49, 32) (dual of [56, 21, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(4941, 58, F49, 37) (dual of [58, 17, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(4936, 58, F49, 32) (dual of [58, 22, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(4943, 60, F49, 38) (dual of [60, 17, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(4937, 60, F49, 32) (dual of [60, 23, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(4945, 62, F49, 39) (dual of [62, 17, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(4938, 62, F49, 32) (dual of [62, 24, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(4947, 64, F49, 40) (dual of [64, 17, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(4939, 64, F49, 32) (dual of [64, 25, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(4949, 66, F49, 41) (dual of [66, 17, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(4940, 66, F49, 32) (dual of [66, 26, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(4951, 68, F49, 42) (dual of [68, 17, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(4941, 68, F49, 32) (dual of [68, 27, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(4953, 70, F49, 43) (dual of [70, 17, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(4942, 70, F49, 32) (dual of [70, 28, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(4955, 72, F49, 44) (dual of [72, 17, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(4943, 72, F49, 32) (dual of [72, 29, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(4944, 74, F49, 32) (dual of [74, 30, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(4945, 76, F49, 32) (dual of [76, 31, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(4946, 78, F49, 32) (dual of [78, 32, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(4947, 80, F49, 32) (dual of [80, 33, 33]-code) | [i] | ✔ | |