Information on Result #701621
Linear OA(4945, 50, F49, 45) (dual of [50, 5, 46]-code or 50-arc in PG(44,49)), using the cyclic code C(A) with length 50 | 492−1, defining set A = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24}, and minimum distance d ≥ |{−16,−13,−10,…,16}|+1 = 46 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4955, 68, F49, 47) (dual of [68, 13, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |