Information on Result #658819
Linear OA(861, 78, F8, 41) (dual of [78, 17, 42]-code), using construction X applied to AG(F,23P) ⊂ AG(F,30P) based on
- linear OA(853, 64, F8, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) 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(847, 64, F8, 33) (dual of [64, 17, 34]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AGe(F,6P) [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 OA(860, 77, F8, 40) (dual of [77, 17, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(861, 39, F8, 2, 41) (dual of [(39, 2), 17, 42]-NRT-code) | [i] | OOA Folding | |