Information on Result #625110
Linear OA(859, 64, F8, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) with known gap numbers based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field 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(8123, 128, F8, 101) (dual of [128, 5, 102]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(880, 85, F8, 64) (dual of [85, 5, 65]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(881, 86, F8, 65) (dual of [86, 5, 66]-code) | [i] | ||
| 4 | Linear OA(882, 87, F8, 66) (dual of [87, 5, 67]-code) | [i] | ||
| 5 | Linear OA(883, 88, F8, 67) (dual of [88, 5, 68]-code) | [i] | ||
| 6 | Linear OA(887, 92, F8, 69) (dual of [92, 5, 70]-code) | [i] | ||
| 7 | Linear OA(8131, 136, F8, 106) (dual of [136, 5, 107]-code) | [i] | ||
| 8 | Linear OA(8141, 146, F8, 114) (dual of [146, 5, 115]-code) | [i] | ||
| 9 | Linear OA(8129, 134, F8, 106) (dual of [134, 5, 107]-code) | [i] | ||
| 10 | Linear OA(8138, 143, F8, 112) (dual of [143, 5, 113]-code) | [i] | ||
| 11 | Linear OA(860, 65, F8, 51) (dual of [65, 5, 52]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 12 | Linear OA(861, 67, F8, 50) (dual of [67, 6, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(865, 70, F8, 55) (dual of [70, 5, 56]-code) | [i] | ✔ | |
| 14 | Linear OA(873, 78, F8, 60) (dual of [78, 5, 61]-code) | [i] | ✔ | |
| 15 | Linear OA(868, 73, F8, 56) (dual of [73, 5, 57]-code) | [i] | ✔ | |
| 16 | Linear OA(865, 73, F8, 50) (dual of [73, 8, 51]-code) | [i] | ✔ | |
| 17 | Linear OA(867, 76, F8, 50) (dual of [76, 9, 51]-code) | [i] | ✔ | |
| 18 | Linear OA(864, 73, F8, 48) (dual of [73, 9, 49]-code) | [i] | ✔ | |
| 19 | Linear OA(868, 78, F8, 50) (dual of [78, 10, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(869, 80, F8, 50) (dual of [80, 11, 51]-code) | [i] | ✔ | |
| 21 | Linear OA(867, 78, F8, 49) (dual of [78, 11, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(872, 84, F8, 50) (dual of [84, 12, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(869, 81, F8, 48) (dual of [81, 12, 49]-code) | [i] | ✔ | |
| 24 | Linear OA(873, 86, F8, 50) (dual of [86, 13, 51]-code) | [i] | ✔ | |
| 25 | Linear OA(874, 88, F8, 50) (dual of [88, 14, 51]-code) | [i] | ✔ | |
| 26 | Linear OA(879, 94, F8, 50) (dual of [94, 15, 51]-code) | [i] | ✔ | |
| 27 | Linear OA(876, 91, F8, 49) (dual of [91, 15, 50]-code) | [i] | ✔ | |
| 28 | Linear OA(874, 79, F8, 61) (dual of [79, 5, 62]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 29 | Linear OA(869, 74, F8, 57) (dual of [74, 5, 58]-code) | [i] | ✔ | |
| 30 | Linear OA(874, 82, F8, 55) (dual of [82, 8, 56]-code) | [i] | ✔ | |
| 31 | Linear OA(865, 74, F8, 49) (dual of [74, 9, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(871, 83, F8, 50) (dual of [83, 12, 51]-code) | [i] | ✔ | |
| 33 | Linear OA(868, 80, F8, 48) (dual of [80, 12, 49]-code) | [i] | ✔ | |
| 34 | Linear OA(878, 93, F8, 50) (dual of [93, 15, 51]-code) | [i] | ✔ | |
| 35 | Linear OA(877, 92, F8, 50) (dual of [92, 15, 51]-code) | [i] | ✔ | |
| 36 | Linear OA(878, 94, F8, 49) (dual of [94, 16, 50]-code) | [i] | ✔ | |
| 37 | Linear OA(879, 96, F8, 48) (dual of [96, 17, 49]-code) | [i] | ✔ | |
| 38 | Linear OA(875, 90, F8, 49) (dual of [90, 15, 50]-code) | [i] | ✔ | |
| 39 | Linear OA(876, 92, F8, 48) (dual of [92, 16, 49]-code) | [i] | ✔ | |
| 40 | Linear OA(880, 97, F8, 49) (dual of [97, 17, 50]-code) | [i] | ✔ | |
| 41 | Linear OOA(859, 32, F8, 2, 50) (dual of [(32, 2), 5, 51]-NRT-code) | [i] | OOA Folding | |