Information on Result #606382
Linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using Reed–Solomon code RS(16,25)
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(25105, 658, F25, 39) (dual of [658, 553, 40]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(2575, 80, F25, 67) (dual of [80, 5, 68]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(543, 75, F5, 19) (dual of [75, 32, 20]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(542, 72, F5, 19) (dual of [72, 30, 20]-code) | [i] | ||
| 5 | Linear OA(541, 69, F5, 19) (dual of [69, 28, 20]-code) | [i] | ||
| 6 | Linear OA(536, 54, F5, 19) (dual of [54, 18, 20]-code) | [i] | ||
| 7 | Linear OA(535, 51, F5, 19) (dual of [51, 16, 20]-code) | [i] | ||
| 8 | Linear OA(534, 48, F5, 19) (dual of [48, 14, 20]-code) | [i] | ||
| 9 | Linear OA(533, 45, F5, 19) (dual of [45, 12, 20]-code) | [i] | ||
| 10 | Linear OA(532, 42, F5, 19) (dual of [42, 10, 20]-code) | [i] | ||
| 11 | Linear OA(546, 56, F5, 29) (dual of [56, 10, 30]-code) | [i] | ||
| 12 | Linear OA(544, 52, F5, 29) (dual of [52, 8, 30]-code) | [i] | ||
| 13 | Linear OA(542, 48, F5, 29) (dual of [48, 6, 30]-code) | [i] | ||
| 14 | Linear OA(557, 65, F5, 39) (dual of [65, 8, 40]-code) | [i] | ||
| 15 | Linear OA(554, 60, F5, 39) (dual of [60, 6, 40]-code) | [i] | ||
| 16 | Linear OA(566, 72, F5, 49) (dual of [72, 6, 50]-code) | [i] | ||
| 17 | Linear OOA(5106, 55, F5, 2, 89) (dual of [(55, 2), 4, 90]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(5128, 66, F5, 2, 109) (dual of [(66, 2), 4, 110]-NRT-code) | [i] | ||
| 19 | Linear OA(2512, 28, F25, 11) (dual of [28, 16, 12]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 20 | Linear OA(2510, 28, F25, 9) (dual of [28, 18, 10]-code) | [i] | ✔ | |
| 21 | Linear OA(2514, 30, F25, 12) (dual of [30, 16, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(2511, 30, F25, 9) (dual of [30, 19, 10]-code) | [i] | ✔ | |
| 23 | Linear OA(25110, 218, F25, 76) (dual of [218, 108, 77]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 24 | Linear OA(25109, 218, F25, 75) (dual of [218, 109, 76]-code) | [i] | ||
| 25 | Linear OA(25108, 218, F25, 74) (dual of [218, 110, 75]-code) | [i] | ||
| 26 | Linear OA(25107, 218, F25, 73) (dual of [218, 111, 74]-code) | [i] | ||
| 27 | Linear OA(25106, 218, F25, 72) (dual of [218, 112, 73]-code) | [i] | ||
| 28 | Linear OA(25105, 218, F25, 71) (dual of [218, 113, 72]-code) | [i] | ||
| 29 | Linear OA(25104, 218, F25, 70) (dual of [218, 114, 71]-code) | [i] | ||
| 30 | Linear OA(25103, 218, F25, 69) (dual of [218, 115, 70]-code) | [i] | ||
| 31 | Linear OA(25102, 218, F25, 68) (dual of [218, 116, 69]-code) | [i] | ||
| 32 | Linear OA(25101, 218, F25, 67) (dual of [218, 117, 68]-code) | [i] | ||
| 33 | Linear OA(25100, 218, F25, 66) (dual of [218, 118, 67]-code) | [i] | ||
| 34 | Linear OA(2599, 218, F25, 65) (dual of [218, 119, 66]-code) | [i] | ||
| 35 | Linear OA(2598, 218, F25, 64) (dual of [218, 120, 65]-code) | [i] | ||
| 36 | Linear OA(2597, 218, F25, 63) (dual of [218, 121, 64]-code) | [i] | ||
| 37 | Linear OA(2596, 218, F25, 62) (dual of [218, 122, 63]-code) | [i] | ||
| 38 | Linear OA(2595, 218, F25, 61) (dual of [218, 123, 62]-code) | [i] | ||
| 39 | Linear OA(2594, 218, F25, 60) (dual of [218, 124, 61]-code) | [i] | ||
| 40 | Linear OA(2593, 218, F25, 59) (dual of [218, 125, 60]-code) | [i] | ||
| 41 | Linear OA(2592, 218, F25, 58) (dual of [218, 126, 59]-code) | [i] | ||
| 42 | Linear OA(2591, 218, F25, 57) (dual of [218, 127, 58]-code) | [i] | ||
| 43 | Linear OA(2590, 218, F25, 56) (dual of [218, 128, 57]-code) | [i] | ||
| 44 | Linear OA(2589, 218, F25, 55) (dual of [218, 129, 56]-code) | [i] | ||
| 45 | Linear OA(2588, 218, F25, 54) (dual of [218, 130, 55]-code) | [i] | ||
| 46 | Linear OA(2587, 218, F25, 53) (dual of [218, 131, 54]-code) | [i] | ||
| 47 | Linear OA(2586, 218, F25, 52) (dual of [218, 132, 53]-code) | [i] | ||
| 48 | Linear OA(2585, 218, F25, 51) (dual of [218, 133, 52]-code) | [i] | ||
| 49 | Linear OA(2584, 218, F25, 50) (dual of [218, 134, 51]-code) | [i] | ||
| 50 | Linear OA(2583, 218, F25, 49) (dual of [218, 135, 50]-code) | [i] | ||
| 51 | Linear OA(2582, 218, F25, 48) (dual of [218, 136, 49]-code) | [i] | ||
| 52 | Linear OA(2581, 218, F25, 47) (dual of [218, 137, 48]-code) | [i] | ||
| 53 | Linear OA(2580, 218, F25, 46) (dual of [218, 138, 47]-code) | [i] | ||
| 54 | Linear OA(2579, 218, F25, 45) (dual of [218, 139, 46]-code) | [i] | ||
| 55 | Linear OA(2578, 218, F25, 44) (dual of [218, 140, 45]-code) | [i] | ||
| 56 | Linear OA(2577, 218, F25, 43) (dual of [218, 141, 44]-code) | [i] | ||
| 57 | Linear OA(2574, 647, F25, 29) (dual of [647, 573, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 58 | Linear OA(2575, 649, F25, 29) (dual of [649, 574, 30]-code) | [i] | ||
| 59 | Linear OA(25102, 15647, F25, 29) (dual of [15647, 15545, 30]-code) | [i] | ||
| 60 | Linear OA(25103, 15649, F25, 29) (dual of [15649, 15546, 30]-code) | [i] | ||
| 61 | Linear OA(25104, 15651, F25, 29) (dual of [15651, 15547, 30]-code) | [i] | ||
| 62 | Linear OA(2572, 647, F25, 28) (dual of [647, 575, 29]-code) | [i] | ||
| 63 | Linear OA(2573, 649, F25, 28) (dual of [649, 576, 29]-code) | [i] | ||
| 64 | Linear OA(2574, 651, F25, 28) (dual of [651, 577, 29]-code) | [i] | ||
| 65 | Linear OA(2599, 15647, F25, 28) (dual of [15647, 15548, 29]-code) | [i] | ||
| 66 | Linear OA(25100, 15649, F25, 28) (dual of [15649, 15549, 29]-code) | [i] | ||
| 67 | Linear OA(25101, 15651, F25, 28) (dual of [15651, 15550, 29]-code) | [i] | ||
| 68 | Linear OA(2570, 647, F25, 27) (dual of [647, 577, 28]-code) | [i] | ||
| 69 | Linear OA(2571, 649, F25, 27) (dual of [649, 578, 28]-code) | [i] | ||
| 70 | Linear OA(2596, 15647, F25, 27) (dual of [15647, 15551, 28]-code) | [i] | ||
| 71 | Linear OA(2597, 15649, F25, 27) (dual of [15649, 15552, 28]-code) | [i] | ||
| 72 | Linear OA(25110, 647, F25, 55) (dual of [647, 537, 56]-code) | [i] | Construction X with Cyclic Codes | |
| 73 | Linear OA(25106, 647, F25, 53) (dual of [647, 541, 54]-code) | [i] | ||
| 74 | Linear OA(25110, 665, F25, 51) (dual of [665, 555, 52]-code) | [i] | Construction XX with Cyclic Codes | |
| 75 | Linear OA(25109, 662, F25, 51) (dual of [662, 553, 52]-code) | [i] | ||
| 76 | Linear OA(25108, 659, F25, 51) (dual of [659, 551, 52]-code) | [i] | ||
| 77 | Linear OA(25107, 656, F25, 51) (dual of [656, 549, 52]-code) | [i] | ||
| 78 | Linear OA(25110, 661, F25, 52) (dual of [661, 551, 53]-code) | [i] | ||
| 79 | Linear OA(25109, 658, F25, 52) (dual of [658, 549, 53]-code) | [i] | ||
| 80 | Linear OA(25108, 650, F25, 54) (dual of [650, 542, 55]-code) | [i] | ||
| 81 | Linear OA(25110, 650, F25, 55) (dual of [650, 540, 56]-code) | [i] | ||
| 82 | Linear OA(25110, 649, F25, 55) (dual of [649, 539, 56]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 83 | Linear OA(25108, 649, F25, 54) (dual of [649, 541, 55]-code) | [i] | ||
| 84 | Linear OA(25106, 649, F25, 53) (dual of [649, 543, 54]-code) | [i] | ||
| 85 | Linear OA(25105, 650, F25, 52) (dual of [650, 545, 53]-code) | [i] | ||