Information on Result #622141
Linear OA(817, 24, F8, 14) (dual of [24, 7, 15]-code), using extended algebraic-geometric code AGe(F,9P) 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(889, 96, F8, 59) (dual of [96, 7, 60]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(893, 536, F8, 29) (dual of [536, 443, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8143, 32792, F8, 29) (dual of [32792, 32649, 30]-code) | [i] | ||
| 4 | Linear OA(8168, 262168, F8, 29) (dual of [262168, 262000, 30]-code) | [i] | ||
| 5 | Linear OA(890, 536, F8, 28) (dual of [536, 446, 29]-code) | [i] | ||
| 6 | Linear OA(8138, 32792, F8, 28) (dual of [32792, 32654, 29]-code) | [i] | ||
| 7 | Linear OA(8162, 262168, F8, 28) (dual of [262168, 262006, 29]-code) | [i] | ||
| 8 | Linear OA(890, 97, F8, 69) (dual of [97, 7, 70]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(899, 106, F8, 75) (dual of [106, 7, 76]-code) | [i] | ||
| 10 | Linear OA(8103, 110, F8, 78) (dual of [110, 7, 79]-code) | [i] | ||
| 11 | Linear OA(8134, 141, F8, 105) (dual of [141, 7, 106]-code) | [i] | ||
| 12 | Linear OA(8145, 152, F8, 113) (dual of [152, 7, 114]-code) | [i] | ||
| 13 | Linear OA(8135, 142, F8, 106) (dual of [142, 7, 107]-code) | [i] | ||
| 14 | Linear OA(8147, 154, F8, 117) (dual of [154, 7, 118]-code) | [i] | ||
| 15 | Linear OA(275, 96, F2, 29) (dual of [96, 21, 30]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OOA(2123, 72, F2, 2, 59) (dual of [(72, 2), 21, 60]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 17 | Linear OOA(2123, 48, F2, 3, 59) (dual of [(48, 3), 21, 60]-NRT-code) | [i] | ||
| 18 | Linear OOA(2195, 72, F2, 3, 104) (dual of [(72, 3), 21, 105]-NRT-code) | [i] | ||
| 19 | Linear OA(880, 88, F8, 61) (dual of [88, 8, 62]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 20 | Linear OOA(817, 12, F8, 2, 14) (dual of [(12, 2), 7, 15]-NRT-code) | [i] | OOA Folding | |