Information on Result #625169
Linear OA(256, 29, F25, 5) (dual of [29, 23, 6]-code), using construction for [s, s−6, 6]-code from [s, 3, s−3]-code based on linear OA(2526, 29, F25, 25) (dual of [29, 3, 26]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(2525, 26, F25, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,25)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(2527, 655, F25, 11) (dual of [655, 628, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2537, 15655, F25, 11) (dual of [15655, 15618, 12]-code) | [i] | ||
| 3 | Linear OA(2547, 390655, F25, 11) (dual of [390655, 390608, 12]-code) | [i] | ||
| 4 | Linear OA(2525, 654, F25, 10) (dual of [654, 629, 11]-code) | [i] | ||
| 5 | Linear OA(2534, 15654, F25, 10) (dual of [15654, 15620, 11]-code) | [i] | ||
| 6 | Linear OA(2543, 390654, F25, 10) (dual of [390654, 390611, 11]-code) | [i] | ||
| 7 | Linear OA(2527, 657, F25, 11) (dual of [657, 630, 12]-code) | [i] | ||
| 8 | Linear OA(2537, 15657, F25, 11) (dual of [15657, 15620, 12]-code) | [i] | ||
| 9 | Linear OA(2547, 390658, F25, 11) (dual of [390658, 390611, 12]-code) | [i] | ||
| 10 | Linear OA(2525, 657, F25, 10) (dual of [657, 632, 11]-code) | [i] | ||
| 11 | Linear OA(2534, 15657, F25, 10) (dual of [15657, 15623, 11]-code) | [i] | ||
| 12 | Linear OA(2543, 390658, F25, 10) (dual of [390658, 390615, 11]-code) | [i] | ||
| 13 | Linear OA(2511, 653, F25, 5) (dual of [653, 642, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(2564, 15684, F25, 17) (dual of [15684, 15620, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(2580, 390684, F25, 17) (dual of [390684, 390604, 18]-code) | [i] | ||
| 16 | Linear OA(2540, 15681, F25, 11) (dual of [15681, 15641, 12]-code) | [i] | ||
| 17 | Linear OA(2550, 390681, F25, 11) (dual of [390681, 390631, 12]-code) | [i] | ||
| 18 | Linear OA(25103, 390655, F25, 25) (dual of [390655, 390552, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 19 | Linear OA(2595, 390655, F25, 23) (dual of [390655, 390560, 24]-code) | [i] | ||
| 20 | Linear OA(2587, 390655, F25, 21) (dual of [390655, 390568, 22]-code) | [i] | ||
| 21 | Linear OA(2579, 390655, F25, 19) (dual of [390655, 390576, 20]-code) | [i] | ||
| 22 | Linear OA(2571, 390655, F25, 17) (dual of [390655, 390584, 18]-code) | [i] | ||
| 23 | Linear OA(2563, 390655, F25, 15) (dual of [390655, 390592, 16]-code) | [i] | ||
| 24 | Linear OA(2555, 390655, F25, 13) (dual of [390655, 390600, 14]-code) | [i] | ||
| 25 | Linear OA(2599, 390654, F25, 24) (dual of [390654, 390555, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 26 | Linear OA(2591, 390654, F25, 22) (dual of [390654, 390563, 23]-code) | [i] | ||
| 27 | Linear OA(2583, 390654, F25, 20) (dual of [390654, 390571, 21]-code) | [i] | ||
| 28 | Linear OA(2575, 390654, F25, 18) (dual of [390654, 390579, 19]-code) | [i] | ||
| 29 | Linear OA(2567, 390654, F25, 16) (dual of [390654, 390587, 17]-code) | [i] | ||
| 30 | Linear OA(2559, 390654, F25, 14) (dual of [390654, 390595, 15]-code) | [i] | ||
| 31 | Linear OA(2551, 390654, F25, 12) (dual of [390654, 390603, 13]-code) | [i] | ||