Information on Result #606480
Linear OA(4926, 49, F49, 26) (dual of [49, 23, 27]-code or 49-arc in PG(25,49)), using Reed–Solomon code RS(23,49)
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(4955, 58, F49, 53) (dual of [58, 3, 54]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(7101, 147, F7, 53) (dual of [147, 46, 54]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(7100, 144, F7, 53) (dual of [144, 44, 54]-code) | [i] | ||
| 4 | Linear OA(799, 141, F7, 53) (dual of [141, 42, 54]-code) | [i] | ||
| 5 | Linear OA(798, 138, F7, 53) (dual of [138, 40, 54]-code) | [i] | ||
| 6 | Linear OA(797, 135, F7, 53) (dual of [135, 38, 54]-code) | [i] | ||
| 7 | Linear OA(796, 132, F7, 53) (dual of [132, 36, 54]-code) | [i] | ||
| 8 | Linear OA(795, 129, F7, 53) (dual of [129, 34, 54]-code) | [i] | ||
| 9 | Linear OA(794, 126, F7, 53) (dual of [126, 32, 54]-code) | [i] | ||
| 10 | Linear OA(793, 123, F7, 53) (dual of [123, 30, 54]-code) | [i] | ||
| 11 | Linear OA(792, 120, F7, 53) (dual of [120, 28, 54]-code) | [i] | ||
| 12 | Linear OA(791, 117, F7, 53) (dual of [117, 26, 54]-code) | [i] | ||
| 13 | Linear OA(790, 114, F7, 53) (dual of [114, 24, 54]-code) | [i] | ||
| 14 | Linear OA(788, 108, F7, 53) (dual of [108, 20, 54]-code) | [i] | ||
| 15 | Linear OA(787, 105, F7, 53) (dual of [105, 18, 54]-code) | [i] | ||
| 16 | Linear OA(786, 102, F7, 53) (dual of [102, 16, 54]-code) | [i] | ||
| 17 | Linear OA(785, 99, F7, 53) (dual of [99, 14, 54]-code) | [i] | ||
| 18 | Linear OA(4929, 52, F49, 28) (dual of [52, 23, 29]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 19 | Linear OA(4927, 52, F49, 26) (dual of [52, 25, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(4931, 54, F49, 29) (dual of [54, 23, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(4928, 54, F49, 26) (dual of [54, 26, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4933, 56, F49, 30) (dual of [56, 23, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(4929, 56, F49, 26) (dual of [56, 27, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(4935, 58, F49, 31) (dual of [58, 23, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(4930, 58, F49, 26) (dual of [58, 28, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(4937, 60, F49, 32) (dual of [60, 23, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(4931, 60, F49, 26) (dual of [60, 29, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(4939, 62, F49, 33) (dual of [62, 23, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(4932, 62, F49, 26) (dual of [62, 30, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(4941, 64, F49, 34) (dual of [64, 23, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(4933, 64, F49, 26) (dual of [64, 31, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(4943, 66, F49, 35) (dual of [66, 23, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(4934, 66, F49, 26) (dual of [66, 32, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(4945, 68, F49, 36) (dual of [68, 23, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(4935, 68, F49, 26) (dual of [68, 33, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(4947, 70, F49, 37) (dual of [70, 23, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(4936, 70, F49, 26) (dual of [70, 34, 27]-code) | [i] | ✔ | |
| 38 | Linear OA(4949, 72, F49, 38) (dual of [72, 23, 39]-code) | [i] | ✔ | |
| 39 | Linear OA(4937, 72, F49, 26) (dual of [72, 35, 27]-code) | [i] | ✔ | |
| 40 | Linear OA(4951, 74, F49, 39) (dual of [74, 23, 40]-code) | [i] | ✔ | |
| 41 | Linear OA(4938, 74, F49, 26) (dual of [74, 36, 27]-code) | [i] | ✔ | |
| 42 | Linear OA(4953, 76, F49, 40) (dual of [76, 23, 41]-code) | [i] | ✔ | |
| 43 | Linear OA(4955, 78, F49, 41) (dual of [78, 23, 42]-code) | [i] | ✔ | |