Information on Result #526659
There is no linear OA(495, 51, F49, 5) (dual of [51, 46, 6]-code or 51-arc in PG(4,49)), because bound for MDS codes
Mode: Bound (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 | No linear OA(496, 52, F49, 6) (dual of [52, 46, 7]-code or 52-arc in PG(5,49)) | [i] | Truncation | |
| 2 | No linear OA(497, 53, F49, 7) (dual of [53, 46, 8]-code or 53-arc in PG(6,49)) | [i] | ||
| 3 | No linear OA(498, 54, F49, 8) (dual of [54, 46, 9]-code or 54-arc in PG(7,49)) | [i] | ||
| 4 | No linear OA(499, 55, F49, 9) (dual of [55, 46, 10]-code or 55-arc in PG(8,49)) | [i] | ||
| 5 | No linear OA(4910, 56, F49, 10) (dual of [56, 46, 11]-code or 56-arc in PG(9,49)) | [i] | ||
| 6 | No linear OA(4911, 57, F49, 11) (dual of [57, 46, 12]-code or 57-arc in PG(10,49)) | [i] | ||
| 7 | No linear OA(4912, 58, F49, 12) (dual of [58, 46, 13]-code or 58-arc in PG(11,49)) | [i] | ||
| 8 | No linear OA(4913, 59, F49, 13) (dual of [59, 46, 14]-code or 59-arc in PG(12,49)) | [i] | ||
| 9 | No linear OA(4914, 60, F49, 14) (dual of [60, 46, 15]-code or 60-arc in PG(13,49)) | [i] | ||
| 10 | No linear OA(4915, 61, F49, 15) (dual of [61, 46, 16]-code or 61-arc in PG(14,49)) | [i] | ||
| 11 | No linear OA(4916, 62, F49, 16) (dual of [62, 46, 17]-code or 62-arc in PG(15,49)) | [i] | ||
| 12 | No linear OA(4917, 63, F49, 17) (dual of [63, 46, 18]-code or 63-arc in PG(16,49)) | [i] | ||
| 13 | No linear OA(4918, 64, F49, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,49)) | [i] | ||
| 14 | No linear OA(4919, 65, F49, 19) (dual of [65, 46, 20]-code or 65-arc in PG(18,49)) | [i] | ||
| 15 | No linear OA(4920, 66, F49, 20) (dual of [66, 46, 21]-code or 66-arc in PG(19,49)) | [i] | ||
| 16 | No linear OA(4921, 67, F49, 21) (dual of [67, 46, 22]-code or 67-arc in PG(20,49)) | [i] | ||
| 17 | No linear OA(4922, 68, F49, 22) (dual of [68, 46, 23]-code or 68-arc in PG(21,49)) | [i] | ||
| 18 | No linear OA(4923, 69, F49, 23) (dual of [69, 46, 24]-code or 69-arc in PG(22,49)) | [i] | ||
| 19 | No linear OA(4924, 70, F49, 24) (dual of [70, 46, 25]-code or 70-arc in PG(23,49)) | [i] | ||
| 20 | No linear OA(4925, 71, F49, 25) (dual of [71, 46, 26]-code or 71-arc in PG(24,49)) | [i] | ||
| 21 | No linear OA(4926, 72, F49, 26) (dual of [72, 46, 27]-code or 72-arc in PG(25,49)) | [i] | ||
| 22 | No linear OA(4927, 73, F49, 27) (dual of [73, 46, 28]-code or 73-arc in PG(26,49)) | [i] | ||
| 23 | No linear OA(4928, 74, F49, 28) (dual of [74, 46, 29]-code or 74-arc in PG(27,49)) | [i] | ||
| 24 | No linear OA(4929, 75, F49, 29) (dual of [75, 46, 30]-code or 75-arc in PG(28,49)) | [i] | ||
| 25 | No linear OA(4930, 76, F49, 30) (dual of [76, 46, 31]-code or 76-arc in PG(29,49)) | [i] | ||
| 26 | No linear OA(4931, 77, F49, 31) (dual of [77, 46, 32]-code or 77-arc in PG(30,49)) | [i] | ||
| 27 | No linear OA(4932, 78, F49, 32) (dual of [78, 46, 33]-code or 78-arc in PG(31,49)) | [i] | ||
| 28 | No linear OA(4933, 79, F49, 33) (dual of [79, 46, 34]-code or 79-arc in PG(32,49)) | [i] | ||
| 29 | No linear OA(4934, 80, F49, 34) (dual of [80, 46, 35]-code or 80-arc in PG(33,49)) | [i] | ||
| 30 | No linear OA(4935, 81, F49, 35) (dual of [81, 46, 36]-code or 81-arc in PG(34,49)) | [i] | ||
| 31 | No linear OA(4936, 82, F49, 36) (dual of [82, 46, 37]-code or 82-arc in PG(35,49)) | [i] | ||
| 32 | No linear OA(4937, 83, F49, 37) (dual of [83, 46, 38]-code or 83-arc in PG(36,49)) | [i] | ||
| 33 | No linear OA(4938, 84, F49, 38) (dual of [84, 46, 39]-code or 84-arc in PG(37,49)) | [i] | ||
| 34 | No linear OA(4939, 85, F49, 39) (dual of [85, 46, 40]-code or 85-arc in PG(38,49)) | [i] | ||
| 35 | No linear OA(4940, 86, F49, 40) (dual of [86, 46, 41]-code or 86-arc in PG(39,49)) | [i] | ||
| 36 | No linear OA(4941, 87, F49, 41) (dual of [87, 46, 42]-code or 87-arc in PG(40,49)) | [i] | ||
| 37 | No linear OA(4942, 88, F49, 42) (dual of [88, 46, 43]-code or 88-arc in PG(41,49)) | [i] | ||
| 38 | No linear OA(4943, 89, F49, 43) (dual of [89, 46, 44]-code or 89-arc in PG(42,49)) | [i] | ||
| 39 | No linear OA(4944, 90, F49, 44) (dual of [90, 46, 45]-code or 90-arc in PG(43,49)) | [i] | ||
| 40 | No linear OA(4945, 91, F49, 45) (dual of [91, 46, 46]-code or 91-arc in PG(44,49)) | [i] | ||
| 41 | No linear OA(4946, 51, F49, 46) (dual of [51, 5, 47]-code or 51-arc in PG(45,49)) | [i] | Dual of MDS Code Is Again an MDS Code | |