Information on Result #618618
Linear OA(4923, 50, F49, 23) (dual of [50, 27, 24]-code or 50-arc in PG(22,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(746, 100, F7, 23) (dual of [100, 54, 24]-code) | [i] | Trace Code | |
| 2 | Linear OA(4934, 100, F49, 23) (dual of [100, 66, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(796, 150, F7, 47) (dual of [150, 54, 48]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(4933, 61, F49, 23) (dual of [61, 28, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |