Information on Result #616761
Linear OA(2511, 26, F25, 11) (dual of [26, 15, 12]-code or 26-arc in PG(10,25)), using the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
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]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [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(522, 52, F5, 11) (dual of [52, 30, 12]-code) | [i] | Trace Code | |
| 2 | Linear OA(2556, 652, F25, 23) (dual of [652, 596, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2578, 15652, F25, 23) (dual of [15652, 15574, 24]-code) | [i] | ||
| 4 | Linear OA(25100, 390652, F25, 23) (dual of [390652, 390552, 24]-code) | [i] | ||
| 5 | Linear OA(2554, 651, F25, 22) (dual of [651, 597, 23]-code) | [i] | ||
| 6 | Linear OA(2575, 15651, F25, 22) (dual of [15651, 15576, 23]-code) | [i] | ||
| 7 | Linear OA(2596, 390651, F25, 22) (dual of [390651, 390555, 23]-code) | [i] | ||
| 8 | Linear OA(2529, 650, F25, 11) (dual of [650, 621, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(548, 78, F5, 23) (dual of [78, 30, 24]-code) | [i] | Concatenation of Two Codes | |
| 10 | Linear OA(2594, 677, F25, 35) (dual of [677, 583, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2563, 678, F25, 23) (dual of [678, 615, 24]-code) | [i] | ||
| 12 | Linear OA(2585, 15678, F25, 23) (dual of [15678, 15593, 24]-code) | [i] | ||
| 13 | Linear OA(25107, 390678, F25, 23) (dual of [390678, 390571, 24]-code) | [i] | ||
| 14 | Linear OA(2561, 677, F25, 22) (dual of [677, 616, 23]-code) | [i] | ||
| 15 | Linear OA(2582, 15677, F25, 22) (dual of [15677, 15595, 23]-code) | [i] | ||
| 16 | Linear OA(25103, 390677, F25, 22) (dual of [390677, 390574, 23]-code) | [i] | ||
| 17 | Linear OA(2515, 31, F25, 11) (dual of [31, 16, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(25108, 652, F25, 53) (dual of [652, 544, 54]-code) | [i] | ||