Information on Result #526662
There is no linear OA(647, 66, F64, 7) (dual of [66, 59, 8]-code or 66-arc in PG(6,64)), 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(648, 67, F64, 8) (dual of [67, 59, 9]-code or 67-arc in PG(7,64)) | [i] | Truncation | |
| 2 | No linear OA(649, 68, F64, 9) (dual of [68, 59, 10]-code or 68-arc in PG(8,64)) | [i] | ||
| 3 | No linear OA(6410, 69, F64, 10) (dual of [69, 59, 11]-code or 69-arc in PG(9,64)) | [i] | ||
| 4 | No linear OA(6411, 70, F64, 11) (dual of [70, 59, 12]-code or 70-arc in PG(10,64)) | [i] | ||
| 5 | No linear OA(6412, 71, F64, 12) (dual of [71, 59, 13]-code or 71-arc in PG(11,64)) | [i] | ||
| 6 | No linear OA(6413, 72, F64, 13) (dual of [72, 59, 14]-code or 72-arc in PG(12,64)) | [i] | ||
| 7 | No linear OA(6414, 73, F64, 14) (dual of [73, 59, 15]-code or 73-arc in PG(13,64)) | [i] | ||
| 8 | No linear OA(6415, 74, F64, 15) (dual of [74, 59, 16]-code or 74-arc in PG(14,64)) | [i] | ||
| 9 | No linear OA(6416, 75, F64, 16) (dual of [75, 59, 17]-code or 75-arc in PG(15,64)) | [i] | ||
| 10 | No linear OA(6417, 76, F64, 17) (dual of [76, 59, 18]-code or 76-arc in PG(16,64)) | [i] | ||
| 11 | No linear OA(6418, 77, F64, 18) (dual of [77, 59, 19]-code or 77-arc in PG(17,64)) | [i] | ||
| 12 | No linear OA(6419, 78, F64, 19) (dual of [78, 59, 20]-code or 78-arc in PG(18,64)) | [i] | ||
| 13 | No linear OA(6420, 79, F64, 20) (dual of [79, 59, 21]-code or 79-arc in PG(19,64)) | [i] | ||
| 14 | No linear OA(6421, 80, F64, 21) (dual of [80, 59, 22]-code or 80-arc in PG(20,64)) | [i] | ||
| 15 | No linear OA(6422, 81, F64, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,64)) | [i] | ||
| 16 | No linear OA(6423, 82, F64, 23) (dual of [82, 59, 24]-code or 82-arc in PG(22,64)) | [i] | ||
| 17 | No linear OA(6424, 83, F64, 24) (dual of [83, 59, 25]-code or 83-arc in PG(23,64)) | [i] | ||
| 18 | No linear OA(6425, 84, F64, 25) (dual of [84, 59, 26]-code or 84-arc in PG(24,64)) | [i] | ||
| 19 | No linear OA(6426, 85, F64, 26) (dual of [85, 59, 27]-code or 85-arc in PG(25,64)) | [i] | ||
| 20 | No linear OA(6427, 86, F64, 27) (dual of [86, 59, 28]-code or 86-arc in PG(26,64)) | [i] | ||
| 21 | No linear OA(6428, 87, F64, 28) (dual of [87, 59, 29]-code or 87-arc in PG(27,64)) | [i] | ||
| 22 | No linear OA(6429, 88, F64, 29) (dual of [88, 59, 30]-code or 88-arc in PG(28,64)) | [i] | ||
| 23 | No linear OA(6430, 89, F64, 30) (dual of [89, 59, 31]-code or 89-arc in PG(29,64)) | [i] | ||
| 24 | No linear OA(6431, 90, F64, 31) (dual of [90, 59, 32]-code or 90-arc in PG(30,64)) | [i] | ||
| 25 | No linear OA(6432, 91, F64, 32) (dual of [91, 59, 33]-code or 91-arc in PG(31,64)) | [i] | ||
| 26 | No linear OA(6433, 92, F64, 33) (dual of [92, 59, 34]-code or 92-arc in PG(32,64)) | [i] | ||
| 27 | No linear OA(6434, 93, F64, 34) (dual of [93, 59, 35]-code or 93-arc in PG(33,64)) | [i] | ||
| 28 | No linear OA(6435, 94, F64, 35) (dual of [94, 59, 36]-code or 94-arc in PG(34,64)) | [i] | ||
| 29 | No linear OA(6436, 95, F64, 36) (dual of [95, 59, 37]-code or 95-arc in PG(35,64)) | [i] | ||
| 30 | No linear OA(6437, 96, F64, 37) (dual of [96, 59, 38]-code or 96-arc in PG(36,64)) | [i] | ||
| 31 | No linear OA(6438, 97, F64, 38) (dual of [97, 59, 39]-code or 97-arc in PG(37,64)) | [i] | ||
| 32 | No linear OA(6439, 98, F64, 39) (dual of [98, 59, 40]-code or 98-arc in PG(38,64)) | [i] | ||
| 33 | No linear OA(6440, 99, F64, 40) (dual of [99, 59, 41]-code or 99-arc in PG(39,64)) | [i] | ||
| 34 | No linear OA(6441, 100, F64, 41) (dual of [100, 59, 42]-code or 100-arc in PG(40,64)) | [i] | ||
| 35 | No linear OA(6442, 101, F64, 42) (dual of [101, 59, 43]-code or 101-arc in PG(41,64)) | [i] | ||
| 36 | No linear OA(6443, 102, F64, 43) (dual of [102, 59, 44]-code or 102-arc in PG(42,64)) | [i] | ||
| 37 | No linear OA(6444, 103, F64, 44) (dual of [103, 59, 45]-code or 103-arc in PG(43,64)) | [i] | ||
| 38 | No linear OA(6445, 104, F64, 45) (dual of [104, 59, 46]-code or 104-arc in PG(44,64)) | [i] | ||
| 39 | No linear OA(6446, 105, F64, 46) (dual of [105, 59, 47]-code or 105-arc in PG(45,64)) | [i] | ||
| 40 | No linear OA(6447, 106, F64, 47) (dual of [106, 59, 48]-code or 106-arc in PG(46,64)) | [i] | ||
| 41 | No linear OA(6448, 107, F64, 48) (dual of [107, 59, 49]-code or 107-arc in PG(47,64)) | [i] | ||
| 42 | No linear OA(6449, 108, F64, 49) (dual of [108, 59, 50]-code or 108-arc in PG(48,64)) | [i] | ||
| 43 | No linear OA(6450, 109, F64, 50) (dual of [109, 59, 51]-code or 109-arc in PG(49,64)) | [i] | ||
| 44 | No linear OA(6451, 110, F64, 51) (dual of [110, 59, 52]-code or 110-arc in PG(50,64)) | [i] | ||
| 45 | No linear OA(6452, 111, F64, 52) (dual of [111, 59, 53]-code or 111-arc in PG(51,64)) | [i] | ||
| 46 | No linear OA(6453, 112, F64, 53) (dual of [112, 59, 54]-code or 112-arc in PG(52,64)) | [i] | ||
| 47 | No linear OA(6454, 113, F64, 54) (dual of [113, 59, 55]-code or 113-arc in PG(53,64)) | [i] | ||
| 48 | No linear OA(6455, 114, F64, 55) (dual of [114, 59, 56]-code or 114-arc in PG(54,64)) | [i] | ||
| 49 | No linear OA(6456, 115, F64, 56) (dual of [115, 59, 57]-code or 115-arc in PG(55,64)) | [i] | ||
| 50 | No linear OA(6457, 116, F64, 57) (dual of [116, 59, 58]-code or 116-arc in PG(56,64)) | [i] | ||
| 51 | No linear OA(6458, 117, F64, 58) (dual of [117, 59, 59]-code or 117-arc in PG(57,64)) | [i] | ||
| 52 | No linear OA(6459, 66, F64, 59) (dual of [66, 7, 60]-code or 66-arc in PG(58,64)) | [i] | Dual of MDS Code Is Again an MDS Code | |