Information on Result #606487
Linear OA(4933, 49, F49, 33) (dual of [49, 16, 34]-code or 49-arc in PG(32,49)), using Reed–Solomon code RS(16,49)
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, 132, F7, 67) (dual of [132, 22, 68]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(7109, 129, F7, 67) (dual of [129, 20, 68]-code) | [i] | ||
| 3 | Linear OA(7108, 126, F7, 67) (dual of [126, 18, 68]-code) | [i] | ||
| 4 | Linear OA(7107, 123, F7, 67) (dual of [123, 16, 68]-code) | [i] | ||
| 5 | Linear OA(7106, 120, F7, 67) (dual of [120, 14, 68]-code) | [i] | ||
| 6 | Linear OA(7105, 117, F7, 67) (dual of [117, 12, 68]-code) | [i] | ||
| 7 | Linear OA(7104, 114, F7, 67) (dual of [114, 10, 68]-code) | [i] | ||
| 8 | Linear OA(4936, 52, F49, 35) (dual of [52, 16, 36]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 9 | Linear OA(4934, 52, F49, 33) (dual of [52, 18, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(4938, 54, F49, 36) (dual of [54, 16, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(4935, 54, F49, 33) (dual of [54, 19, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(4940, 56, F49, 37) (dual of [56, 16, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4936, 56, F49, 33) (dual of [56, 20, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(4942, 58, F49, 38) (dual of [58, 16, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(4937, 58, F49, 33) (dual of [58, 21, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(4944, 60, F49, 39) (dual of [60, 16, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(4938, 60, F49, 33) (dual of [60, 22, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(4946, 62, F49, 40) (dual of [62, 16, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(4939, 62, F49, 33) (dual of [62, 23, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(4948, 64, F49, 41) (dual of [64, 16, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(4940, 64, F49, 33) (dual of [64, 24, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(4950, 66, F49, 42) (dual of [66, 16, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(4941, 66, F49, 33) (dual of [66, 25, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(4952, 68, F49, 43) (dual of [68, 16, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(4942, 68, F49, 33) (dual of [68, 26, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(4954, 70, F49, 44) (dual of [70, 16, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(4943, 70, F49, 33) (dual of [70, 27, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(4944, 72, F49, 33) (dual of [72, 28, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(4945, 74, F49, 33) (dual of [74, 29, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(4946, 76, F49, 33) (dual of [76, 30, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(4947, 78, F49, 33) (dual of [78, 31, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(4948, 80, F49, 33) (dual of [80, 32, 34]-code) | [i] | ✔ | |