Information on Result #657208
Linear OA(255, 26, F25, 5) (dual of [26, 21, 6]-code or 26-arc in PG(4,25)), using algebraic-geometric code AG(F, Q+6P) with degQ = 2 and 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(510, 52, F5, 5) (dual of [52, 42, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(2526, 652, F25, 11) (dual of [652, 626, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2536, 15652, F25, 11) (dual of [15652, 15616, 12]-code) | [i] | ||
| 4 | Linear OA(2546, 390652, F25, 11) (dual of [390652, 390606, 12]-code) | [i] | ||
| 5 | Linear OA(2524, 651, F25, 10) (dual of [651, 627, 11]-code) | [i] | ||
| 6 | Linear OA(2533, 15651, F25, 10) (dual of [15651, 15618, 11]-code) | [i] | ||
| 7 | Linear OA(2542, 390651, F25, 10) (dual of [390651, 390609, 11]-code) | [i] | ||
| 8 | Linear OA(2526, 654, F25, 11) (dual of [654, 628, 12]-code) | [i] | ||
| 9 | Linear OA(2536, 15654, F25, 11) (dual of [15654, 15618, 12]-code) | [i] | ||
| 10 | Linear OA(2537, 15659, F25, 11) (dual of [15659, 15622, 12]-code) | [i] | ||
| 11 | Linear OA(2546, 390655, F25, 11) (dual of [390655, 390609, 12]-code) | [i] | ||
| 12 | Linear OA(2547, 390661, F25, 11) (dual of [390661, 390614, 12]-code) | [i] | ||
| 13 | Linear OA(2524, 654, F25, 10) (dual of [654, 630, 11]-code) | [i] | ||
| 14 | Linear OA(2533, 15654, F25, 10) (dual of [15654, 15621, 11]-code) | [i] | ||
| 15 | Linear OA(2534, 15658, F25, 10) (dual of [15658, 15624, 11]-code) | [i] | ||
| 16 | Linear OA(2542, 390655, F25, 10) (dual of [390655, 390613, 11]-code) | [i] | ||
| 17 | Linear OA(2543, 390660, F25, 10) (dual of [390660, 390617, 11]-code) | [i] | ||
| 18 | Linear OA(2529, 650, F25, 11) (dual of [650, 621, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 19 | Linear OA(2510, 650, F25, 5) (dual of [650, 640, 6]-code) | [i] | ||
| 20 | Linear OA(2546, 678, F25, 17) (dual of [678, 632, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(2547, 681, F25, 17) (dual of [681, 634, 18]-code) | [i] | ||
| 22 | Linear OA(2562, 15678, F25, 17) (dual of [15678, 15616, 18]-code) | [i] | ||
| 23 | Linear OA(2563, 15681, F25, 17) (dual of [15681, 15618, 18]-code) | [i] | ||
| 24 | Linear OA(2578, 390678, F25, 17) (dual of [390678, 390600, 18]-code) | [i] | ||
| 25 | Linear OA(2579, 390681, F25, 17) (dual of [390681, 390602, 18]-code) | [i] | ||
| 26 | Linear OA(2544, 677, F25, 16) (dual of [677, 633, 17]-code) | [i] | ||
| 27 | Linear OA(2559, 15677, F25, 16) (dual of [15677, 15618, 17]-code) | [i] | ||
| 28 | Linear OA(2560, 15680, F25, 16) (dual of [15680, 15620, 17]-code) | [i] | ||
| 29 | Linear OA(2574, 390677, F25, 16) (dual of [390677, 390603, 17]-code) | [i] | ||
| 30 | Linear OA(2575, 390680, F25, 16) (dual of [390680, 390605, 17]-code) | [i] | ||
| 31 | Linear OA(2541, 678, F25, 15) (dual of [678, 637, 16]-code) | [i] | ||
| 32 | Linear OA(2555, 15678, F25, 15) (dual of [15678, 15623, 16]-code) | [i] | ||
| 33 | Linear OA(2556, 15681, F25, 15) (dual of [15681, 15625, 16]-code) | [i] | ||
| 34 | Linear OA(2569, 390678, F25, 15) (dual of [390678, 390609, 16]-code) | [i] | ||
| 35 | Linear OA(2570, 390681, F25, 15) (dual of [390681, 390611, 16]-code) | [i] | ||
| 36 | Linear OA(2529, 678, F25, 11) (dual of [678, 649, 12]-code) | [i] | ||
| 37 | Linear OA(2539, 15678, F25, 11) (dual of [15678, 15639, 12]-code) | [i] | ||
| 38 | Linear OA(2549, 390678, F25, 11) (dual of [390678, 390629, 12]-code) | [i] | ||
| 39 | Linear OA(2536, 15677, F25, 10) (dual of [15677, 15641, 11]-code) | [i] | ||
| 40 | Linear OA(2545, 390677, F25, 10) (dual of [390677, 390632, 11]-code) | [i] | ||
| 41 | Linear OA(25110, 390652, F25, 27) (dual of [390652, 390542, 28]-code) | [i] | Construction X with Cyclic Codes | |
| 42 | Linear OA(25102, 390652, F25, 25) (dual of [390652, 390550, 26]-code) | [i] | ||
| 43 | Linear OA(2594, 390652, F25, 23) (dual of [390652, 390558, 24]-code) | [i] | ||
| 44 | Linear OA(2586, 390652, F25, 21) (dual of [390652, 390566, 22]-code) | [i] | ||
| 45 | Linear OA(2578, 390652, F25, 19) (dual of [390652, 390574, 20]-code) | [i] | ||
| 46 | Linear OA(2570, 390652, F25, 17) (dual of [390652, 390582, 18]-code) | [i] | ||
| 47 | Linear OA(2562, 390652, F25, 15) (dual of [390652, 390590, 16]-code) | [i] | ||
| 48 | Linear OA(2554, 390652, F25, 13) (dual of [390652, 390598, 14]-code) | [i] | ||
| 49 | Linear OA(2598, 390651, F25, 24) (dual of [390651, 390553, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 50 | Linear OA(2590, 390651, F25, 22) (dual of [390651, 390561, 23]-code) | [i] | ||
| 51 | Linear OA(2582, 390651, F25, 20) (dual of [390651, 390569, 21]-code) | [i] | ||
| 52 | Linear OA(2574, 390651, F25, 18) (dual of [390651, 390577, 19]-code) | [i] | ||
| 53 | Linear OA(2566, 390651, F25, 16) (dual of [390651, 390585, 17]-code) | [i] | ||
| 54 | Linear OA(2558, 390651, F25, 14) (dual of [390651, 390593, 15]-code) | [i] | ||
| 55 | Linear OA(2550, 390651, F25, 12) (dual of [390651, 390601, 13]-code) | [i] | ||
| 56 | Linear OA(25107, 390652, F25, 27) (dual of [390652, 390545, 28]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 57 | Linear OA(25103, 390652, F25, 26) (dual of [390652, 390549, 27]-code) | [i] | ||