Information on Result #644336
Linear OA(851, 78, F8, 30) (dual of [78, 27, 31]-code), using construction X applied to AG(F,33P) ⊂ AG(F,40P) based on
- linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using algebraic-geometric code AG(F,33P) [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(837, 64, F8, 23) (dual of [64, 27, 24]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code), using
- extended algebraic-geometric code AGe(F,7P) [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(851, 39, F8, 2, 30) (dual of [(39, 2), 27, 31]-NRT-code) | [i] | OOA Folding | |