Information on Result #616907
Linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, 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]
- Codes by De Boer and Brouwer (hidden) [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(2552, 55, F25, 49) (dual of [55, 3, 50]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(2577, 80, F25, 72) (dual of [80, 3, 73]-code) | [i] | ||
| 3 | Linear OA(2578, 81, F25, 73) (dual of [81, 3, 74]-code) | [i] | ||
| 4 | Linear OA(25103, 106, F25, 96) (dual of [106, 3, 97]-code) | [i] | ||
| 5 | Linear OA(25104, 107, F25, 97) (dual of [107, 3, 98]-code) | [i] | ||
| 6 | Linear OA(2559, 62, F25, 56) (dual of [62, 3, 57]-code) | [i] | ||
| 7 | Linear OA(2584, 87, F25, 79) (dual of [87, 3, 80]-code) | [i] | ||
| 8 | Linear OA(2585, 88, F25, 80) (dual of [88, 3, 81]-code) | [i] | ||
| 9 | Linear OA(5124, 130, F5, 95) (dual of [130, 6, 96]-code) | [i] | Concatenation of Two Codes | |
| 10 | Linear OA(2533, 37, F25, 23) (dual of [37, 4, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |