Information on Result #644128
Linear OA(822, 23, F8, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,8)), using algebraic-geometric code AG(F,0P) based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(822, 23, F8, 21) (dual of [23, 1, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8140, 535, F8, 45) (dual of [535, 395, 46]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8137, 535, F8, 44) (dual of [535, 398, 45]-code) | [i] | ||
| 4 | Linear OA(827, 31, F8, 22) (dual of [31, 4, 23]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 5 | Linear OA(827, 32, F8, 21) (dual of [32, 5, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(830, 36, F8, 22) (dual of [36, 6, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(828, 33, F8, 22) (dual of [33, 5, 23]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 8 | Linear OA(841, 83, F8, 22) (dual of [83, 42, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(875, 2094, F8, 22) (dual of [2094, 2019, 23]-code) | [i] | ||
| 10 | Linear OA(8163, 194, F8, 71) (dual of [194, 31, 72]-code) | [i] | Construction X with Cyclic Codes | |
| 11 | Linear OA(8142, 2097175, F8, 22) (dual of [2097175, 2097033, 23]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(8128, 2097175, F8, 20) (dual of [2097175, 2097047, 21]-code) | [i] | ||