Information on Result #658938
Linear OA(862, 82, F8, 39) (dual of [82, 20, 40]-code), using construction XX applied to AG(F,24P) ⊂ AG(F,32P) ⊂ AG(F,33P) based on
- linear OA(852, 64, F8, 39) (dual of [64, 12, 40]-code), using algebraic-geometric code AG(F,24P) 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(845, 64, F8, 31) (dual of [64, 19, 32]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- 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 (see above)
- linear OA(89, 17, F8, 7) (dual of [17, 8, 8]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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 OOA(862, 41, F8, 2, 39) (dual of [(41, 2), 20, 40]-NRT-code) | [i] | OOA Folding | |