Information on Result #736190
Linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), using codes constructed by inverting construction Y1
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(527, 136, F5, 9) (dual of [136, 109, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(541, 3136, F5, 9) (dual of [3136, 3095, 10]-code) | [i] | ||
| 3 | Linear OA(548, 15636, F5, 9) (dual of [15636, 15588, 10]-code) | [i] | ||
| 4 | Linear OA(555, 78136, F5, 9) (dual of [78136, 78081, 10]-code) | [i] | ||
| 5 | Linear OA(562, 390636, F5, 9) (dual of [390636, 390574, 10]-code) | [i] | ||
| 6 | Linear OA(569, 1953136, F5, 9) (dual of [1953136, 1953067, 10]-code) | [i] | ||
| 7 | Linear OA(542, 15636, F5, 8) (dual of [15636, 15594, 9]-code) | [i] | ||
| 8 | Linear OA(548, 78136, F5, 8) (dual of [78136, 78088, 9]-code) | [i] | ||
| 9 | Linear OA(554, 390636, F5, 8) (dual of [390636, 390582, 9]-code) | [i] | ||
| 10 | Linear OA(560, 1953136, F5, 8) (dual of [1953136, 1953076, 9]-code) | [i] | ||
| 11 | Linear OA(525, 36, F5, 14) (dual of [36, 11, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(531, 35, F5, 24) (dual of [35, 4, 25]-code) | [i] | Juxtaposition | |
| 13 | Linear OA(517, 4153, F5, 4) (dual of [4153, 4136, 5]-code) | [i] | Varšamov–Edel Lengthening | |
| 14 | Linear OA(518, 7100, F5, 4) (dual of [7100, 7082, 5]-code) | [i] | ||
| 15 | Linear OA(5103, 167, F5, 43) (dual of [167, 64, 44]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(525, 33, F5, 17) (dual of [33, 8, 18]-code) | [i] | ||
| 17 | Linear OA(526, 34, F5, 18) (dual of [34, 8, 19]-code) | [i] | Construction XX with Cyclic Codes | |
| 18 | Linear OA(524, 36, F5, 14) (dual of [36, 12, 15]-code) | [i] | ||
| 19 | Linear OA(541, 76, F5, 18) (dual of [76, 35, 19]-code) | [i] | ||
| 20 | Linear OA(539, 76, F5, 17) (dual of [76, 37, 18]-code) | [i] | ||
| 21 | Linear OA(528, 38, F5, 17) (dual of [38, 10, 18]-code) | [i] | ||
| 22 | Linear OA(579, 138, F5, 38) (dual of [138, 59, 39]-code) | [i] | ||
| 23 | Linear OA(583, 142, F5, 39) (dual of [142, 59, 40]-code) | [i] | ||
| 24 | Linear OA(586, 142, F5, 40) (dual of [142, 56, 41]-code) | [i] | ||
| 25 | Linear OA(589, 148, F5, 41) (dual of [148, 59, 42]-code) | [i] | ||
| 26 | Linear OA(588, 138, F5, 43) (dual of [138, 50, 44]-code) | [i] | ||
| 27 | Linear OA(592, 142, F5, 44) (dual of [142, 50, 45]-code) | [i] | ||
| 28 | Linear OA(595, 142, F5, 45) (dual of [142, 47, 46]-code) | [i] | ||
| 29 | Linear OA(598, 148, F5, 46) (dual of [148, 50, 47]-code) | [i] | ||
| 30 | Linear OA(597, 138, F5, 48) (dual of [138, 41, 49]-code) | [i] | ||
| 31 | Linear OA(5101, 142, F5, 49) (dual of [142, 41, 50]-code) | [i] | ||
| 32 | Linear OA(5114, 140, F5, 69) (dual of [140, 26, 70]-code) | [i] | ||
| 33 | Linear OA(5113, 138, F5, 69) (dual of [138, 25, 70]-code) | [i] | ||
| 34 | Linear OA(5117, 140, F5, 70) (dual of [140, 23, 71]-code) | [i] | ||
| 35 | Linear OA(5116, 138, F5, 70) (dual of [138, 22, 71]-code) | [i] | ||
| 36 | Linear OA(5123, 149, F5, 73) (dual of [149, 26, 74]-code) | [i] | ||
| 37 | Linear OA(5120, 146, F5, 71) (dual of [146, 26, 72]-code) | [i] | ||
| 38 | Linear OA(5122, 147, F5, 73) (dual of [147, 25, 74]-code) | [i] | ||
| 39 | Linear OA(5136, 162, F5, 78) (dual of [162, 26, 79]-code) | [i] | ||
| 40 | Linear OA(5121, 146, F5, 73) (dual of [146, 25, 74]-code) | [i] | ||
| 41 | Linear OA(5121, 146, F5, 73) (dual of [146, 25, 74]-code) | [i] | ||
| 42 | Linear OA(5117, 142, F5, 70) (dual of [142, 25, 71]-code) | [i] | ||
| 43 | Linear OA(5126, 151, F5, 74) (dual of [151, 25, 75]-code) | [i] | ||
| 44 | Linear OA(5125, 147, F5, 74) (dual of [147, 22, 75]-code) | [i] | ||
| 45 | Linear OA(5119, 141, F5, 73) (dual of [141, 22, 74]-code) | [i] | ||
| 46 | Linear OA(5135, 160, F5, 78) (dual of [160, 25, 79]-code) | [i] | ||
| 47 | Linear OA(5132, 157, F5, 76) (dual of [157, 25, 77]-code) | [i] | ||
| 48 | Linear OA(5119, 138, F5, 74) (dual of [138, 19, 75]-code) | [i] | ||
| 49 | Linear OA(5120, 140, F5, 74) (dual of [140, 20, 75]-code) | [i] | ||
| 50 | Linear OA(5126, 146, F5, 76) (dual of [146, 20, 77]-code) | [i] | ||
| 51 | Linear OA(5128, 147, F5, 78) (dual of [147, 19, 79]-code) | [i] | ||
| 52 | Linear OA(5127, 146, F5, 78) (dual of [146, 19, 79]-code) | [i] | ||
| 53 | Linear OA(5127, 146, F5, 78) (dual of [146, 19, 79]-code) | [i] | ||
| 54 | Linear OA(5123, 142, F5, 75) (dual of [142, 19, 76]-code) | [i] | ||
| 55 | Linear OA(5126, 133, F5, 99) (dual of [133, 7, 100]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 56 | Linear OA(5119, 136, F5, 74) (dual of [136, 17, 75]-code) | [i] | ||
| 57 | Linear OA(5116, 136, F5, 73) (dual of [136, 20, 74]-code) | [i] | ||
| 58 | Linear OA(5113, 136, F5, 69) (dual of [136, 23, 70]-code) | [i] | ||
| 59 | Linear OA(5110, 136, F5, 68) (dual of [136, 26, 69]-code) | [i] | ||
| 60 | Linear OA(539, 74, F5, 17) (dual of [74, 35, 18]-code) | [i] | ||
| 61 | Linear OA(536, 74, F5, 16) (dual of [74, 38, 17]-code) | [i] | ||
| 62 | Linear OA(524, 35, F5, 14) (dual of [35, 11, 15]-code) | [i] | ||
| 63 | Linear OA(522, 35, F5, 13) (dual of [35, 13, 14]-code) | [i] | ||
| 64 | Linear OA(5111, 138, F5, 68) (dual of [138, 27, 69]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 65 | Linear OA(567, 138, F5, 28) (dual of [138, 71, 29]-code) | [i] | ||
| 66 | Linear OA(533, 39, F5, 24) (dual of [39, 6, 25]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 67 | Linear OA(544, 83, F5, 21) (dual of [83, 39, 22]-code) | [i] | Construction X with Varšamov Bound | |
| 68 | Linear OA(530, 34, F5, 24) (dual of [34, 4, 25]-code) | [i] | Construction X with Ovoid | |