Information on Result #618629
Linear OA(4925, 50, F49, 25) (dual of [50, 25, 26]-code or 50-arc in PG(24,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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]
- 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(750, 100, F7, 25) (dual of [100, 50, 26]-code) | [i] | Trace Code | |
| 2 | Linear OA(7100, 150, F7, 51) (dual of [150, 50, 52]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(4936, 62, F49, 25) (dual of [62, 26, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |