Information on Result #606383
Linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using Reed–Solomon code RS(15,25)
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(2576, 81, F25, 68) (dual of [81, 5, 69]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(2576, 80, F25, 69) (dual of [80, 4, 70]-code) | [i] | ||
| 3 | Linear OA(545, 75, F5, 21) (dual of [75, 30, 22]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(544, 72, F5, 21) (dual of [72, 28, 22]-code) | [i] | ||
| 5 | Linear OA(543, 69, F5, 21) (dual of [69, 26, 22]-code) | [i] | ||
| 6 | Linear OA(542, 66, F5, 21) (dual of [66, 24, 22]-code) | [i] | ||
| 7 | Linear OA(539, 57, F5, 21) (dual of [57, 18, 22]-code) | [i] | ||
| 8 | Linear OA(538, 54, F5, 21) (dual of [54, 16, 22]-code) | [i] | ||
| 9 | Linear OA(537, 51, F5, 21) (dual of [51, 14, 22]-code) | [i] | ||
| 10 | Linear OA(536, 48, F5, 21) (dual of [48, 12, 22]-code) | [i] | ||
| 11 | Linear OA(535, 45, F5, 21) (dual of [45, 10, 22]-code) | [i] | ||
| 12 | Linear OA(548, 56, F5, 32) (dual of [56, 8, 33]-code) | [i] | ||
| 13 | Linear OA(546, 52, F5, 32) (dual of [52, 6, 33]-code) | [i] | ||
| 14 | Linear OA(562, 70, F5, 43) (dual of [70, 8, 44]-code) | [i] | ||
| 15 | Linear OA(559, 65, F5, 43) (dual of [65, 6, 44]-code) | [i] | ||
| 16 | Linear OA(572, 78, F5, 54) (dual of [78, 6, 55]-code) | [i] | ||
| 17 | Linear OA(568, 72, F5, 54) (dual of [72, 4, 55]-code) | [i] | ||
| 18 | Linear OOA(5116, 60, F5, 2, 98) (dual of [(60, 2), 4, 99]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 19 | Linear OOA(5150, 78, F5, 2, 120) (dual of [(78, 2), 6, 121]-NRT-code) | [i] | ||
| 20 | Linear OOA(5140, 72, F5, 2, 120) (dual of [(72, 2), 4, 121]-NRT-code) | [i] | ||
| 21 | Linear OA(2513, 28, F25, 12) (dual of [28, 15, 13]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 22 | Linear OA(2511, 28, F25, 10) (dual of [28, 17, 11]-code) | [i] | ✔ | |
| 23 | Linear OA(2515, 30, F25, 13) (dual of [30, 15, 14]-code) | [i] | ✔ | |
| 24 | Linear OA(2512, 30, F25, 10) (dual of [30, 18, 11]-code) | [i] | ✔ | |
| 25 | Linear OA(25110, 220, F25, 75) (dual of [220, 110, 76]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 26 | Linear OA(25109, 220, F25, 74) (dual of [220, 111, 75]-code) | [i] | ||
| 27 | Linear OA(25108, 220, F25, 73) (dual of [220, 112, 74]-code) | [i] | ||
| 28 | Linear OA(25107, 220, F25, 72) (dual of [220, 113, 73]-code) | [i] | ||
| 29 | Linear OA(25106, 220, F25, 71) (dual of [220, 114, 72]-code) | [i] | ||
| 30 | Linear OA(25105, 220, F25, 70) (dual of [220, 115, 71]-code) | [i] | ||
| 31 | Linear OA(25104, 220, F25, 69) (dual of [220, 116, 70]-code) | [i] | ||
| 32 | Linear OA(25103, 220, F25, 68) (dual of [220, 117, 69]-code) | [i] | ||
| 33 | Linear OA(25102, 220, F25, 67) (dual of [220, 118, 68]-code) | [i] | ||
| 34 | Linear OA(25101, 220, F25, 66) (dual of [220, 119, 67]-code) | [i] | ||
| 35 | Linear OA(25100, 220, F25, 65) (dual of [220, 120, 66]-code) | [i] | ||
| 36 | Linear OA(2599, 220, F25, 64) (dual of [220, 121, 65]-code) | [i] | ||
| 37 | Linear OA(2598, 220, F25, 63) (dual of [220, 122, 64]-code) | [i] | ||
| 38 | Linear OA(2597, 220, F25, 62) (dual of [220, 123, 63]-code) | [i] | ||
| 39 | Linear OA(2596, 220, F25, 61) (dual of [220, 124, 62]-code) | [i] | ||
| 40 | Linear OA(2595, 220, F25, 60) (dual of [220, 125, 61]-code) | [i] | ||
| 41 | Linear OA(2594, 220, F25, 59) (dual of [220, 126, 60]-code) | [i] | ||
| 42 | Linear OA(2593, 220, F25, 58) (dual of [220, 127, 59]-code) | [i] | ||
| 43 | Linear OA(2592, 220, F25, 57) (dual of [220, 128, 58]-code) | [i] | ||
| 44 | Linear OA(2591, 220, F25, 56) (dual of [220, 129, 57]-code) | [i] | ||
| 45 | Linear OA(2590, 220, F25, 55) (dual of [220, 130, 56]-code) | [i] | ||
| 46 | Linear OA(2589, 220, F25, 54) (dual of [220, 131, 55]-code) | [i] | ||
| 47 | Linear OA(2588, 220, F25, 53) (dual of [220, 132, 54]-code) | [i] | ||
| 48 | Linear OA(2587, 220, F25, 52) (dual of [220, 133, 53]-code) | [i] | ||
| 49 | Linear OA(2586, 220, F25, 51) (dual of [220, 134, 52]-code) | [i] | ||
| 50 | Linear OA(2585, 220, F25, 50) (dual of [220, 135, 51]-code) | [i] | ||
| 51 | Linear OA(2584, 220, F25, 49) (dual of [220, 136, 50]-code) | [i] | ||
| 52 | Linear OA(2583, 220, F25, 48) (dual of [220, 137, 49]-code) | [i] | ||
| 53 | Linear OA(2582, 220, F25, 47) (dual of [220, 138, 48]-code) | [i] | ||
| 54 | Linear OA(2581, 220, F25, 46) (dual of [220, 139, 47]-code) | [i] | ||
| 55 | Linear OA(2580, 220, F25, 45) (dual of [220, 140, 46]-code) | [i] | ||
| 56 | Linear OA(2579, 220, F25, 44) (dual of [220, 141, 45]-code) | [i] | ||
| 57 | Linear OA(2582, 649, F25, 32) (dual of [649, 567, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 58 | Linear OA(2583, 651, F25, 32) (dual of [651, 568, 33]-code) | [i] | ||
| 59 | Linear OA(2584, 653, F25, 32) (dual of [653, 569, 33]-code) | [i] | ||
| 60 | Linear OA(2585, 655, F25, 32) (dual of [655, 570, 33]-code) | [i] | ||
| 61 | Linear OA(2580, 649, F25, 31) (dual of [649, 569, 32]-code) | [i] | ||
| 62 | Linear OA(2581, 651, F25, 31) (dual of [651, 570, 32]-code) | [i] | ||
| 63 | Linear OA(2582, 653, F25, 31) (dual of [653, 571, 32]-code) | [i] | ||
| 64 | Linear OA(25110, 15649, F25, 31) (dual of [15649, 15539, 32]-code) | [i] | ||
| 65 | Linear OA(2578, 649, F25, 30) (dual of [649, 571, 31]-code) | [i] | ||
| 66 | Linear OA(25107, 15649, F25, 30) (dual of [15649, 15542, 31]-code) | [i] | ||
| 67 | Linear OA(25108, 15651, F25, 30) (dual of [15651, 15543, 31]-code) | [i] | ||
| 68 | Linear OA(25109, 15653, F25, 30) (dual of [15653, 15544, 31]-code) | [i] | ||