Information on Result #658773
Linear OA(873, 78, F8, 60) (dual of [78, 5, 61]-code), using construction X applied to AG(F,0P) ⊂ AG(F,13P) based on
- linear OA(863, 64, F8, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,8)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OA(859, 64, F8, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OA(810, 14, F8, 9) (dual of [14, 4, 10]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
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 OOA(873, 39, F8, 2, 60) (dual of [(39, 2), 5, 61]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(873, 26, F8, 3, 60) (dual of [(26, 3), 5, 61]-NRT-code) | [i] | ||