Information on Result #622140
Linear OA(816, 24, F8, 13) (dual of [24, 8, 14]-code), using extended algebraic-geometric code AGe(F,10P) 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(888, 96, F8, 55) (dual of [96, 8, 56]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(886, 536, F8, 27) (dual of [536, 450, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8132, 32792, F8, 27) (dual of [32792, 32660, 28]-code) | [i] | ||
| 4 | Linear OA(8155, 262168, F8, 27) (dual of [262168, 262013, 28]-code) | [i] | ||
| 5 | Linear OA(883, 536, F8, 26) (dual of [536, 453, 27]-code) | [i] | ||
| 6 | Linear OA(8127, 32792, F8, 26) (dual of [32792, 32665, 27]-code) | [i] | ||
| 7 | Linear OA(8149, 262168, F8, 26) (dual of [262168, 262019, 27]-code) | [i] | ||
| 8 | Linear OA(8171, 2097176, F8, 26) (dual of [2097176, 2097005, 27]-code) | [i] | ||
| 9 | Linear OA(880, 88, F8, 60) (dual of [88, 8, 61]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(889, 97, F8, 66) (dual of [97, 8, 67]-code) | [i] | ||
| 11 | Linear OA(892, 100, F8, 68) (dual of [100, 8, 69]-code) | [i] | ||
| 12 | Linear OA(272, 96, F2, 27) (dual of [96, 24, 28]-code) | [i] | Concatenation of Two Codes | |
| 13 | Linear OA(2144, 168, F2, 55) (dual of [168, 24, 56]-code) | [i] | ||
| 14 | Linear OOA(2120, 72, F2, 2, 55) (dual of [(72, 2), 24, 56]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 15 | Linear OOA(2120, 48, F2, 3, 55) (dual of [(48, 3), 24, 56]-NRT-code) | [i] | ||
| 16 | Linear OOA(2192, 72, F2, 3, 97) (dual of [(72, 3), 24, 98]-NRT-code) | [i] | ||
| 17 | Linear OA(877, 88, F8, 55) (dual of [88, 11, 56]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 18 | Linear OA(872, 89, F8, 46) (dual of [89, 17, 47]-code) | [i] | Construction X with Cyclic Codes | |
| 19 | Linear OA(886, 97, F8, 59) (dual of [97, 11, 60]-code) | [i] | ||
| 20 | Linear OA(877, 94, F8, 48) (dual of [94, 17, 49]-code) | [i] | Construction XX with Cyclic Codes | |
| 21 | Linear OA(879, 88, F8, 59) (dual of [88, 9, 60]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 22 | Linear OA(880, 89, F8, 60) (dual of [89, 9, 61]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 23 | Linear OOA(816, 12, F8, 2, 13) (dual of [(12, 2), 8, 14]-NRT-code) | [i] | OOA Folding | |