Information on Result #619784
Linear OA(25611, 257, F256, 11) (dual of [257, 246, 12]-code or 257-arc in PG(10,256)), using the expurgated narrow-sense BCH-code C(I) with length 257 | 2562−1, 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]
- 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(1622, 514, F16, 11) (dual of [514, 492, 12]-code) | [i] | Trace Code | |
| 2 | OA(3218, 257, S32, 11) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6415, 257, S64, 11) | [i] | ||
| 4 | OA(12813, 257, S128, 11) | [i] | ||
| 5 | Linear OA(25634, 514, F256, 23) (dual of [514, 480, 24]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25635, 517, F256, 23) (dual of [517, 482, 24]-code) | [i] | ||
| 7 | Linear OA(25656, 65794, F256, 23) (dual of [65794, 65738, 24]-code) | [i] | ||
| 8 | Linear OA(25633, 514, F256, 22) (dual of [514, 481, 23]-code) | [i] | ||
| 9 | Linear OA(25634, 517, F256, 22) (dual of [517, 483, 23]-code) | [i] | ||
| 10 | Linear OA(25654, 65793, F256, 22) (dual of [65793, 65739, 23]-code) | [i] | ||
| 11 | Linear OA(25616, 514, F256, 11) (dual of [514, 498, 12]-code) | [i] | ||
| 12 | Linear OA(25656, 65795, F256, 23) (dual of [65795, 65739, 24]-code) | [i] | ||
| 13 | Linear OA(25657, 65799, F256, 23) (dual of [65799, 65742, 24]-code) | [i] | ||
| 14 | Linear OA(25659, 65805, F256, 23) (dual of [65805, 65746, 24]-code) | [i] | ||
| 15 | Linear OA(25654, 65795, F256, 22) (dual of [65795, 65741, 23]-code) | [i] | ||
| 16 | Linear OA(25635, 546, F256, 23) (dual of [546, 511, 24]-code) | [i] | ||
| 17 | Linear OA(25634, 546, F256, 22) (dual of [546, 512, 23]-code) | [i] | ||
| 18 | Linear OA(25629, 65792, F256, 11) (dual of [65792, 65763, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 19 | Linear OA(25663, 66051, F256, 23) (dual of [66051, 65988, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(25661, 66050, F256, 22) (dual of [66050, 65989, 23]-code) | [i] | ||
| 21 | Linear OA(25615, 262, F256, 11) (dual of [262, 247, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |