Information on Result #657174
Linear OA(2510, 26, F25, 10) (dual of [26, 16, 11]-code or 26-arc in PG(9,25)), using algebraic-geometric code AG(F, Q+6P) with degQ = 3 and degPÂ =Â 2 based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(520, 52, F5, 10) (dual of [52, 32, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(2551, 652, F25, 21) (dual of [652, 601, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2571, 15652, F25, 21) (dual of [15652, 15581, 22]-code) | [i] | ||
| 4 | Linear OA(2591, 390652, F25, 21) (dual of [390652, 390561, 22]-code) | [i] | ||
| 5 | Linear OA(2549, 651, F25, 20) (dual of [651, 602, 21]-code) | [i] | ||
| 6 | Linear OA(2568, 15651, F25, 20) (dual of [15651, 15583, 21]-code) | [i] | ||
| 7 | Linear OA(2587, 390651, F25, 20) (dual of [390651, 390564, 21]-code) | [i] | ||
| 8 | Linear OA(546, 78, F5, 21) (dual of [78, 32, 22]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(2513, 29, F25, 12) (dual of [29, 16, 13]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 10 | Linear OA(2511, 29, F25, 10) (dual of [29, 18, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(2515, 31, F25, 13) (dual of [31, 16, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(2512, 31, F25, 10) (dual of [31, 19, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(2583, 677, F25, 31) (dual of [677, 594, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2584, 680, F25, 31) (dual of [680, 596, 32]-code) | [i] | ||
| 15 | Linear OA(2581, 677, F25, 30) (dual of [677, 596, 31]-code) | [i] | ||
| 16 | Linear OA(2582, 680, F25, 30) (dual of [680, 598, 31]-code) | [i] | ||
| 17 | Linear OA(25110, 15677, F25, 30) (dual of [15677, 15567, 31]-code) | [i] | ||
| 18 | Linear OA(2558, 678, F25, 21) (dual of [678, 620, 22]-code) | [i] | ||
| 19 | Linear OA(2578, 15678, F25, 21) (dual of [15678, 15600, 22]-code) | [i] | ||
| 20 | Linear OA(2598, 390678, F25, 21) (dual of [390678, 390580, 22]-code) | [i] | ||
| 21 | Linear OA(2555, 677, F25, 20) (dual of [677, 622, 21]-code) | [i] | ||
| 22 | Linear OA(2574, 15677, F25, 20) (dual of [15677, 15603, 21]-code) | [i] | ||
| 23 | Linear OA(2593, 390677, F25, 20) (dual of [390677, 390584, 21]-code) | [i] | ||
| 24 | Linear OA(25107, 652, F25, 52) (dual of [652, 545, 53]-code) | [i] | Construction X with Cyclic Codes | |
| 25 | Linear OA(2551, 658, F25, 20) (dual of [658, 607, 21]-code) | [i] | Construction XX with Cyclic Codes | |
| 26 | Linear OA(2556, 661, F25, 22) (dual of [661, 605, 23]-code) | [i] | ||
| 27 | Linear OA(2555, 658, F25, 22) (dual of [658, 603, 23]-code) | [i] | ||
| 28 | Linear OA(2558, 661, F25, 23) (dual of [661, 603, 24]-code) | [i] | ||
| 29 | Linear OA(2561, 664, F25, 24) (dual of [664, 603, 25]-code) | [i] | ||
| 30 | Linear OA(2560, 661, F25, 24) (dual of [661, 601, 25]-code) | [i] | ||
| 31 | Linear OA(2559, 658, F25, 24) (dual of [658, 599, 25]-code) | [i] | ||
| 32 | Linear OA(2562, 661, F25, 25) (dual of [661, 599, 26]-code) | [i] | ||
| 33 | Linear OA(2562, 662, F25, 25) (dual of [662, 600, 26]-code) | [i] | ||
| 34 | Linear OA(2561, 659, F25, 25) (dual of [659, 598, 26]-code) | [i] | ||
| 35 | Linear OA(2564, 665, F25, 26) (dual of [665, 601, 27]-code) | [i] | ||
| 36 | Linear OA(2563, 662, F25, 26) (dual of [662, 599, 27]-code) | [i] | ||
| 37 | Linear OA(2562, 659, F25, 26) (dual of [659, 597, 27]-code) | [i] | ||
| 38 | Linear OA(2565, 664, F25, 27) (dual of [664, 599, 28]-code) | [i] | ||
| 39 | Linear OA(2564, 661, F25, 27) (dual of [661, 597, 28]-code) | [i] | ||
| 40 | Linear OA(2563, 658, F25, 27) (dual of [658, 595, 28]-code) | [i] | ||
| 41 | Linear OA(2568, 667, F25, 28) (dual of [667, 599, 29]-code) | [i] | ||
| 42 | Linear OA(2567, 664, F25, 28) (dual of [664, 597, 29]-code) | [i] | ||
| 43 | Linear OA(2566, 661, F25, 28) (dual of [661, 595, 29]-code) | [i] | ||
| 44 | Linear OA(2565, 658, F25, 28) (dual of [658, 593, 29]-code) | [i] | ||
| 45 | Linear OA(2570, 667, F25, 29) (dual of [667, 597, 30]-code) | [i] | ||
| 46 | Linear OA(2569, 664, F25, 29) (dual of [664, 595, 30]-code) | [i] | ||
| 47 | Linear OA(2568, 661, F25, 29) (dual of [661, 593, 30]-code) | [i] | ||
| 48 | Linear OA(2573, 670, F25, 30) (dual of [670, 597, 31]-code) | [i] | ||
| 49 | Linear OA(2572, 667, F25, 30) (dual of [667, 595, 31]-code) | [i] | ||
| 50 | Linear OA(2571, 664, F25, 30) (dual of [664, 593, 31]-code) | [i] | ||
| 51 | Linear OA(2575, 670, F25, 31) (dual of [670, 595, 32]-code) | [i] | ||
| 52 | Linear OA(2574, 667, F25, 31) (dual of [667, 593, 32]-code) | [i] | ||
| 53 | Linear OA(2578, 673, F25, 32) (dual of [673, 595, 33]-code) | [i] | ||
| 54 | Linear OA(2577, 670, F25, 32) (dual of [670, 593, 33]-code) | [i] | ||
| 55 | Linear OA(2580, 673, F25, 33) (dual of [673, 593, 34]-code) | [i] | ||
| 56 | Linear OA(2583, 676, F25, 34) (dual of [676, 593, 35]-code) | [i] | ||
| 57 | Linear OA(2584, 658, F25, 38) (dual of [658, 574, 39]-code) | [i] | ||
| 58 | Linear OA(2587, 661, F25, 39) (dual of [661, 574, 40]-code) | [i] | ||
| 59 | Linear OA(2590, 664, F25, 40) (dual of [664, 574, 41]-code) | [i] | ||
| 60 | Linear OA(2590, 658, F25, 41) (dual of [658, 568, 42]-code) | [i] | ||
| 61 | Linear OA(2593, 667, F25, 41) (dual of [667, 574, 42]-code) | [i] | ||
| 62 | Linear OA(2593, 661, F25, 42) (dual of [661, 568, 43]-code) | [i] | ||
| 63 | Linear OA(2592, 658, F25, 42) (dual of [658, 566, 43]-code) | [i] | ||
| 64 | Linear OA(2596, 670, F25, 42) (dual of [670, 574, 43]-code) | [i] | ||
| 65 | Linear OA(2596, 664, F25, 43) (dual of [664, 568, 44]-code) | [i] | ||
| 66 | Linear OA(2595, 661, F25, 43) (dual of [661, 566, 44]-code) | [i] | ||
| 67 | Linear OA(2594, 658, F25, 43) (dual of [658, 564, 44]-code) | [i] | ||
| 68 | Linear OA(2599, 673, F25, 43) (dual of [673, 574, 44]-code) | [i] | ||
| 69 | Linear OA(2599, 667, F25, 44) (dual of [667, 568, 45]-code) | [i] | ||
| 70 | Linear OA(2598, 664, F25, 44) (dual of [664, 566, 45]-code) | [i] | ||
| 71 | Linear OA(2597, 661, F25, 44) (dual of [661, 564, 45]-code) | [i] | ||
| 72 | Linear OA(2596, 658, F25, 44) (dual of [658, 562, 45]-code) | [i] | ||
| 73 | Linear OA(25102, 676, F25, 44) (dual of [676, 574, 45]-code) | [i] | ||
| 74 | Linear OA(25102, 670, F25, 45) (dual of [670, 568, 46]-code) | [i] | ||
| 75 | Linear OA(25101, 667, F25, 45) (dual of [667, 566, 46]-code) | [i] | ||
| 76 | Linear OA(25100, 664, F25, 45) (dual of [664, 564, 46]-code) | [i] | ||
| 77 | Linear OA(2599, 661, F25, 45) (dual of [661, 562, 46]-code) | [i] | ||
| 78 | Linear OA(2598, 658, F25, 45) (dual of [658, 560, 46]-code) | [i] | ||
| 79 | Linear OA(25105, 673, F25, 46) (dual of [673, 568, 47]-code) | [i] | ||
| 80 | Linear OA(25104, 670, F25, 46) (dual of [670, 566, 47]-code) | [i] | ||
| 81 | Linear OA(25103, 667, F25, 46) (dual of [667, 564, 47]-code) | [i] | ||
| 82 | Linear OA(25102, 664, F25, 46) (dual of [664, 562, 47]-code) | [i] | ||
| 83 | Linear OA(25101, 661, F25, 46) (dual of [661, 560, 47]-code) | [i] | ||
| 84 | Linear OA(25100, 658, F25, 46) (dual of [658, 558, 47]-code) | [i] | ||
| 85 | Linear OA(25108, 676, F25, 47) (dual of [676, 568, 48]-code) | [i] | ||
| 86 | Linear OA(25107, 673, F25, 47) (dual of [673, 566, 48]-code) | [i] | ||
| 87 | Linear OA(25106, 670, F25, 47) (dual of [670, 564, 48]-code) | [i] | ||
| 88 | Linear OA(25105, 667, F25, 47) (dual of [667, 562, 48]-code) | [i] | ||
| 89 | Linear OA(25104, 664, F25, 47) (dual of [664, 560, 48]-code) | [i] | ||
| 90 | Linear OA(25103, 661, F25, 47) (dual of [661, 558, 48]-code) | [i] | ||
| 91 | Linear OA(25102, 658, F25, 47) (dual of [658, 556, 48]-code) | [i] | ||
| 92 | Linear OA(25110, 676, F25, 48) (dual of [676, 566, 49]-code) | [i] | ||
| 93 | Linear OA(25109, 673, F25, 48) (dual of [673, 564, 49]-code) | [i] | ||
| 94 | Linear OA(25108, 670, F25, 48) (dual of [670, 562, 49]-code) | [i] | ||
| 95 | Linear OA(25107, 667, F25, 48) (dual of [667, 560, 49]-code) | [i] | ||
| 96 | Linear OA(25106, 664, F25, 48) (dual of [664, 558, 49]-code) | [i] | ||
| 97 | Linear OA(25105, 661, F25, 48) (dual of [661, 556, 49]-code) | [i] | ||
| 98 | Linear OA(25104, 658, F25, 48) (dual of [658, 554, 49]-code) | [i] | ||
| 99 | Linear OA(25110, 670, F25, 49) (dual of [670, 560, 50]-code) | [i] | ||
| 100 | Linear OA(25109, 667, F25, 49) (dual of [667, 558, 50]-code) | [i] | ||
| 101 | Linear OA(25108, 664, F25, 49) (dual of [664, 556, 50]-code) | [i] | ||
| 102 | Linear OA(25107, 661, F25, 49) (dual of [661, 554, 50]-code) | [i] | ||
| 103 | Linear OA(25106, 658, F25, 49) (dual of [658, 552, 50]-code) | [i] | ||
| 104 | Linear OA(25110, 664, F25, 50) (dual of [664, 554, 51]-code) | [i] | ||
| 105 | Linear OA(25109, 661, F25, 50) (dual of [661, 552, 51]-code) | [i] | ||
| 106 | Linear OA(25108, 658, F25, 50) (dual of [658, 550, 51]-code) | [i] | ||
| 107 | Linear OA(25110, 663, F25, 51) (dual of [663, 553, 52]-code) | [i] | ||
| 108 | Linear OA(25109, 660, F25, 51) (dual of [660, 551, 52]-code) | [i] | ||
| 109 | Linear OA(25108, 657, F25, 51) (dual of [657, 549, 52]-code) | [i] | ||
| 110 | Linear OA(25110, 660, F25, 52) (dual of [660, 550, 53]-code) | [i] | ||
| 111 | Linear OA(25110, 654, F25, 54) (dual of [654, 544, 55]-code) | [i] | ||
| 112 | Linear OA(25109, 652, F25, 54) (dual of [652, 543, 55]-code) | [i] | ||
| 113 | Linear OA(25109, 651, F25, 54) (dual of [651, 542, 55]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 114 | Linear OA(25107, 651, F25, 53) (dual of [651, 544, 54]-code) | [i] | ||