Information on Result #604900
Linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), using dual of repetition code with length 3
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(542, 15631, F5, 8) (dual of [15631, 15589, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 2 | Linear OA(548, 78131, F5, 8) (dual of [78131, 78083, 9]-code) | [i] | ||
| 3 | Linear OA(554, 390631, F5, 8) (dual of [390631, 390577, 9]-code) | [i] | ||
| 4 | Linear OA(560, 1953131, F5, 8) (dual of [1953131, 1953071, 9]-code) | [i] | ||
| 5 | Linear OA(515, 129, F5, 5) (dual of [129, 114, 6]-code) | [i] | Construction X with Cyclic Codes | |
| 6 | Linear OA(523, 3129, F5, 5) (dual of [3129, 3106, 6]-code) | [i] | ||
| 7 | Linear OA(531, 78129, F5, 5) (dual of [78129, 78098, 6]-code) | [i] | ||
| 8 | Linear OA(539, 1953129, F5, 5) (dual of [1953129, 1953090, 6]-code) | [i] | ||
| 9 | Linear OA(548, 79, F5, 10) (dual of [79, 31, 11]-code) | [i] | ||
| 10 | Linear OA(587, 351, F5, 10) (dual of [351, 264, 11]-code) | [i] | ||
| 11 | Linear OA(527, 34, F5, 18) (dual of [34, 7, 19]-code) | [i] | ||
| 12 | Linear OA(534, 39, F5, 20) (dual of [39, 5, 21]-code) | [i] | ||
| 13 | Linear OA(535, 39, F5, 23) (dual of [39, 4, 24]-code) | [i] | ||
| 14 | Linear OA(549, 55, F5, 31) (dual of [55, 6, 32]-code) | [i] | ||
| 15 | Linear OA(566, 75, F5, 38) (dual of [75, 9, 39]-code) | [i] | ||
| 16 | Linear OA(567, 75, F5, 41) (dual of [75, 8, 42]-code) | [i] | ||
| 17 | Linear OA(5108, 145, F5, 41) (dual of [145, 37, 42]-code) | [i] | ||
| 18 | Linear OA(568, 74, F5, 44) (dual of [74, 6, 45]-code) | [i] | ||
| 19 | Linear OA(5118, 145, F5, 46) (dual of [145, 27, 47]-code) | [i] | ||
| 20 | Linear OA(561, 65, F5, 49) (dual of [65, 4, 50]-code) | [i] | ||
| 21 | Linear OA(5130, 147, F5, 50) (dual of [147, 17, 51]-code) | [i] | ||
| 22 | Linear OA(571, 75, F5, 56) (dual of [75, 4, 57]-code) | [i] | ||
| 23 | Linear OA(5132, 147, F5, 56) (dual of [147, 15, 57]-code) | [i] | ||
| 24 | Linear OA(5149, 189, F5, 59) (dual of [189, 40, 60]-code) | [i] | ||
| 25 | Linear OA(5138, 159, F5, 80) (dual of [159, 21, 81]-code) | [i] | ||
| 26 | Linear OA(5139, 159, F5, 83) (dual of [159, 20, 84]-code) | [i] | ||
| 27 | Linear OA(5141, 162, F5, 83) (dual of [162, 21, 84]-code) | [i] | Construction XX with Cyclic Codes | |
| 28 | Linear OA(5141, 162, F5, 83) (dual of [162, 21, 84]-code) | [i] | ||
| 29 | Linear OA(533, 40, F5, 22) (dual of [40, 7, 23]-code) | [i] | ||
| 30 | Linear OA(537, 44, F5, 24) (dual of [44, 7, 25]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 31 | Linear OA(5139, 160, F5, 81) (dual of [160, 21, 82]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 32 | Linear OA(599, 136, F5, 49) (dual of [136, 37, 50]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 33 | Linear OA(595, 132, F5, 48) (dual of [132, 37, 49]-code) | [i] | ||
| 34 | Linear OA(5102, 148, F5, 48) (dual of [148, 46, 49]-code) | [i] | ||
| 35 | Linear OA(598, 144, F5, 47) (dual of [144, 46, 48]-code) | [i] | ||
| 36 | Linear OA(596, 142, F5, 46) (dual of [142, 46, 47]-code) | [i] | ||
| 37 | Linear OA(590, 136, F5, 44) (dual of [136, 46, 45]-code) | [i] | ||
| 38 | Linear OA(598, 153, F5, 44) (dual of [153, 55, 45]-code) | [i] | ||
| 39 | Linear OA(586, 132, F5, 43) (dual of [132, 46, 44]-code) | [i] | ||
| 40 | Linear OA(593, 148, F5, 43) (dual of [148, 55, 44]-code) | [i] | ||
| 41 | Linear OA(589, 144, F5, 42) (dual of [144, 55, 43]-code) | [i] | ||
| 42 | Linear OA(587, 142, F5, 41) (dual of [142, 55, 42]-code) | [i] | ||
| 43 | Linear OA(581, 136, F5, 39) (dual of [136, 55, 40]-code) | [i] | ||
| 44 | Linear OA(577, 132, F5, 38) (dual of [132, 55, 39]-code) | [i] | ||
| 45 | Linear OA(530, 40, F5, 18) (dual of [40, 10, 19]-code) | [i] | ||
| 46 | Linear OA(523, 33, F5, 14) (dual of [33, 10, 15]-code) | [i] | ||
| 47 | Linear OA(517, 33, F5, 10) (dual of [33, 16, 11]-code) | [i] | Construction X with Varšamov Bound | |
| 48 | Linear OA(537, 52, F5, 21) (dual of [52, 15, 22]-code) | [i] | ||
| 49 | Linear OA(548, 64, F5, 28) (dual of [64, 16, 29]-code) | [i] | ||
| 50 | Linear OA(549, 65, F5, 29) (dual of [65, 16, 30]-code) | [i] | ||
| 51 | Linear OA(557, 73, F5, 34) (dual of [73, 16, 35]-code) | [i] | ||
| 52 | Linear OA(561, 126, F5, 28) (dual of [126, 65, 29]-code) | [i] | ||
| 53 | Linear OA(562, 127, F5, 29) (dual of [127, 65, 30]-code) | [i] | ||
| 54 | Linear OA(563, 78, F5, 38) (dual of [78, 15, 39]-code) | [i] | ||
| 55 | Linear OA(588, 116, F5, 49) (dual of [116, 28, 50]-code) | [i] | ||
| 56 | Linear OA(589, 106, F5, 54) (dual of [106, 17, 55]-code) | [i] | ||
| 57 | Linear OA(589, 117, F5, 50) (dual of [117, 28, 51]-code) | [i] | ||
| 58 | Linear OA(590, 107, F5, 55) (dual of [107, 17, 56]-code) | [i] | ||
| 59 | Linear OA(590, 118, F5, 51) (dual of [118, 28, 52]-code) | [i] | ||
| 60 | Linear OA(5127, 148, F5, 77) (dual of [148, 21, 78]-code) | [i] | ||
| 61 | Linear OA(5128, 147, F5, 79) (dual of [147, 19, 80]-code) | [i] | ||
| 62 | Linear OA(5129, 148, F5, 80) (dual of [148, 19, 81]-code) | [i] | ||
| 63 | Linear OA(5133, 152, F5, 82) (dual of [152, 19, 83]-code) | [i] | ||
| 64 | Linear OA(5134, 153, F5, 83) (dual of [153, 19, 84]-code) | [i] | ||
| 65 | Linear OA(5135, 154, F5, 84) (dual of [154, 19, 85]-code) | [i] | ||
| 66 | Linear OA(5137, 156, F5, 85) (dual of [156, 19, 86]-code) | [i] | ||
| 67 | Linear OA(5138, 157, F5, 86) (dual of [157, 19, 87]-code) | [i] | ||
| 68 | Linear OA(539, 56, F5, 22) (dual of [56, 17, 23]-code) | [i] | ||
| 69 | Linear OA(541, 80, F5, 20) (dual of [80, 39, 21]-code) | [i] | ||
| 70 | Linear OA(545, 69, F5, 24) (dual of [69, 24, 25]-code) | [i] | ||
| 71 | Linear OA(546, 70, F5, 25) (dual of [70, 24, 26]-code) | [i] | ||
| 72 | Linear OA(547, 71, F5, 26) (dual of [71, 24, 27]-code) | [i] | ||
| 73 | Linear OA(563, 93, F5, 34) (dual of [93, 30, 35]-code) | [i] | ||
| 74 | Linear OA(577, 104, F5, 43) (dual of [104, 27, 44]-code) | [i] | ||