Information on Result #622139
Linear OA(815, 24, F8, 12) (dual of [24, 9, 13]-code), using extended algebraic-geometric code AGe(F,11P) 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.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(887, 96, F8, 51) (dual of [96, 9, 52]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(879, 536, F8, 25) (dual of [536, 457, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8121, 32792, F8, 25) (dual of [32792, 32671, 26]-code) | [i] | ||
| 4 | Linear OA(8142, 262168, F8, 25) (dual of [262168, 262026, 26]-code) | [i] | ||
| 5 | Linear OA(8163, 2097176, F8, 25) (dual of [2097176, 2097013, 26]-code) | [i] | ||
| 6 | Linear OA(880, 89, F8, 59) (dual of [89, 9, 60]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(894, 103, F8, 68) (dual of [103, 9, 69]-code) | [i] | ||
| 8 | Linear OA(8141, 150, F8, 106) (dual of [150, 9, 107]-code) | [i] | ||
| 9 | Linear OA(269, 96, F2, 25) (dual of [96, 27, 26]-code) | [i] | Concatenation of Two Codes | |
| 10 | Linear OA(2141, 168, F2, 51) (dual of [168, 27, 52]-code) | [i] | ||
| 11 | Linear OOA(2117, 72, F2, 2, 51) (dual of [(72, 2), 27, 52]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 12 | Linear OOA(2117, 48, F2, 3, 51) (dual of [(48, 3), 27, 52]-NRT-code) | [i] | ||
| 13 | Linear OOA(2189, 72, F2, 3, 90) (dual of [(72, 3), 27, 91]-NRT-code) | [i] | ||
| 14 | Linear OA(876, 88, F8, 52) (dual of [88, 12, 53]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 15 | Linear OA(875, 88, F8, 51) (dual of [88, 13, 52]-code) | [i] | ||
| 16 | Linear OA(874, 88, F8, 50) (dual of [88, 14, 51]-code) | [i] | ||
| 17 | Linear OA(881, 91, F8, 56) (dual of [91, 10, 57]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 18 | Linear OA(881, 93, F8, 55) (dual of [93, 12, 56]-code) | [i] | ||
| 19 | Linear OA(878, 90, F8, 54) (dual of [90, 12, 55]-code) | [i] | ||
| 20 | Linear OA(885, 97, F8, 58) (dual of [97, 12, 59]-code) | [i] | Construction X with Cyclic Codes | |
| 21 | Linear OA(887, 100, F8, 57) (dual of [100, 13, 58]-code) | [i] | Construction XX with Cyclic Codes | |
| 22 | Linear OA(888, 101, F8, 58) (dual of [101, 13, 59]-code) | [i] | ||
| 23 | Linear OA(870, 88, F8, 44) (dual of [88, 18, 45]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 24 | Linear OOA(815, 12, F8, 2, 12) (dual of [(12, 2), 9, 13]-NRT-code) | [i] | OOA Folding | |