Information on Result #657193
Linear OA(257, 26, F25, 7) (dual of [26, 19, 8]-code or 26-arc in PG(6,25)), using algebraic-geometric code AG(F,6P) with degPÂ =Â 3 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
- Extended Reed–Solomon Code [i]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(514, 52, F5, 7) (dual of [52, 38, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(2536, 652, F25, 15) (dual of [652, 616, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2550, 15652, F25, 15) (dual of [15652, 15602, 16]-code) | [i] | ||
| 4 | Linear OA(2564, 390652, F25, 15) (dual of [390652, 390588, 16]-code) | [i] | ||
| 5 | Linear OA(2534, 651, F25, 14) (dual of [651, 617, 15]-code) | [i] | ||
| 6 | Linear OA(2547, 15651, F25, 14) (dual of [15651, 15604, 15]-code) | [i] | ||
| 7 | Linear OA(2560, 390651, F25, 14) (dual of [390651, 390591, 15]-code) | [i] | ||
| 8 | Linear OA(2536, 654, F25, 15) (dual of [654, 618, 16]-code) | [i] | ||
| 9 | Linear OA(2550, 15654, F25, 15) (dual of [15654, 15604, 16]-code) | [i] | ||
| 10 | Linear OA(2551, 15659, F25, 15) (dual of [15659, 15608, 16]-code) | [i] | ||
| 11 | Linear OA(2565, 390661, F25, 15) (dual of [390661, 390596, 16]-code) | [i] | ||
| 12 | Linear OA(2566, 390665, F25, 15) (dual of [390665, 390599, 16]-code) | [i] | ||
| 13 | Linear OA(2534, 654, F25, 14) (dual of [654, 620, 15]-code) | [i] | ||
| 14 | Linear OA(2547, 15654, F25, 14) (dual of [15654, 15607, 15]-code) | [i] | ||
| 15 | Linear OA(2548, 15658, F25, 14) (dual of [15658, 15610, 15]-code) | [i] | ||
| 16 | Linear OA(2549, 15662, F25, 14) (dual of [15662, 15613, 15]-code) | [i] | ||
| 17 | Linear OA(2561, 390660, F25, 14) (dual of [390660, 390599, 15]-code) | [i] | ||
| 18 | Linear OA(2562, 390665, F25, 14) (dual of [390665, 390603, 15]-code) | [i] | ||
| 19 | Linear OA(2516, 650, F25, 7) (dual of [650, 634, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 20 | Linear OA(2563, 678, F25, 23) (dual of [678, 615, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(2564, 681, F25, 23) (dual of [681, 617, 24]-code) | [i] | ||
| 22 | Linear OA(2585, 15678, F25, 23) (dual of [15678, 15593, 24]-code) | [i] | ||
| 23 | Linear OA(2586, 15681, F25, 23) (dual of [15681, 15595, 24]-code) | [i] | ||
| 24 | Linear OA(2588, 15704, F25, 23) (dual of [15704, 15616, 24]-code) | [i] | ||
| 25 | Linear OA(25107, 390678, F25, 23) (dual of [390678, 390571, 24]-code) | [i] | ||
| 26 | Linear OA(25108, 390681, F25, 23) (dual of [390681, 390573, 24]-code) | [i] | ||
| 27 | Linear OA(25110, 390704, F25, 23) (dual of [390704, 390594, 24]-code) | [i] | ||
| 28 | Linear OA(2561, 677, F25, 22) (dual of [677, 616, 23]-code) | [i] | ||
| 29 | Linear OA(2562, 680, F25, 22) (dual of [680, 618, 23]-code) | [i] | ||
| 30 | Linear OA(2582, 15677, F25, 22) (dual of [15677, 15595, 23]-code) | [i] | ||
| 31 | Linear OA(2583, 15680, F25, 22) (dual of [15680, 15597, 23]-code) | [i] | ||
| 32 | Linear OA(25103, 390677, F25, 22) (dual of [390677, 390574, 23]-code) | [i] | ||
| 33 | Linear OA(25104, 390680, F25, 22) (dual of [390680, 390576, 23]-code) | [i] | ||
| 34 | Linear OA(2558, 678, F25, 21) (dual of [678, 620, 22]-code) | [i] | ||
| 35 | Linear OA(2559, 681, F25, 21) (dual of [681, 622, 22]-code) | [i] | ||
| 36 | Linear OA(2578, 15678, F25, 21) (dual of [15678, 15600, 22]-code) | [i] | ||
| 37 | Linear OA(2579, 15681, F25, 21) (dual of [15681, 15602, 22]-code) | [i] | ||
| 38 | Linear OA(2598, 390678, F25, 21) (dual of [390678, 390580, 22]-code) | [i] | ||
| 39 | Linear OA(2599, 390681, F25, 21) (dual of [390681, 390582, 22]-code) | [i] | ||
| 40 | Linear OA(2541, 678, F25, 15) (dual of [678, 637, 16]-code) | [i] | ||
| 41 | Linear OA(2555, 15678, F25, 15) (dual of [15678, 15623, 16]-code) | [i] | ||
| 42 | Linear OA(2569, 390678, F25, 15) (dual of [390678, 390609, 16]-code) | [i] | ||
| 43 | Linear OA(2538, 677, F25, 14) (dual of [677, 639, 15]-code) | [i] | ||
| 44 | Linear OA(2551, 15677, F25, 14) (dual of [15677, 15626, 15]-code) | [i] | ||
| 45 | Linear OA(2564, 390677, F25, 14) (dual of [390677, 390613, 15]-code) | [i] | ||
| 46 | Linear OA(25110, 15652, F25, 35) (dual of [15652, 15542, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 47 | Linear OA(25104, 15652, F25, 33) (dual of [15652, 15548, 34]-code) | [i] | ||
| 48 | Linear OA(2598, 15652, F25, 31) (dual of [15652, 15554, 32]-code) | [i] | ||
| 49 | Linear OA(2592, 15652, F25, 29) (dual of [15652, 15560, 30]-code) | [i] | ||
| 50 | Linear OA(2586, 15652, F25, 27) (dual of [15652, 15566, 28]-code) | [i] | ||
| 51 | Linear OA(2580, 15652, F25, 25) (dual of [15652, 15572, 26]-code) | [i] | ||
| 52 | Linear OA(2574, 15652, F25, 23) (dual of [15652, 15578, 24]-code) | [i] | ||
| 53 | Linear OA(2568, 15652, F25, 21) (dual of [15652, 15584, 22]-code) | [i] | ||
| 54 | Linear OA(2562, 15652, F25, 19) (dual of [15652, 15590, 20]-code) | [i] | ||
| 55 | Linear OA(2556, 15652, F25, 17) (dual of [15652, 15596, 18]-code) | [i] | ||
| 56 | Linear OA(2598, 15651, F25, 32) (dual of [15651, 15553, 33]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 57 | Linear OA(2595, 15651, F25, 31) (dual of [15651, 15556, 32]-code) | [i] | ||
| 58 | Linear OA(2592, 15651, F25, 30) (dual of [15651, 15559, 31]-code) | [i] | ||
| 59 | Linear OA(2589, 15651, F25, 29) (dual of [15651, 15562, 30]-code) | [i] | ||
| 60 | Linear OA(2586, 15651, F25, 28) (dual of [15651, 15565, 29]-code) | [i] | ||
| 61 | Linear OA(2583, 15651, F25, 27) (dual of [15651, 15568, 28]-code) | [i] | ||
| 62 | Linear OA(2580, 15651, F25, 26) (dual of [15651, 15571, 27]-code) | [i] | ||