Information on Result #658889
Linear OA(878, 90, F8, 54) (dual of [90, 12, 55]-code), using construction XX applied to AG(F,10P) ⊂ AG(F,23P) ⊂ AG(F,24P) based on
- linear OA(861, 64, F8, 55) (dual of [64, 3, 56]-code), using algebraic-geometric code AG(F,10P) 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(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 (see above)
- 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 (see above)
- linear OA(815, 24, F8, 12) (dual of [24, 9, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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(878, 45, F8, 2, 54) (dual of [(45, 2), 12, 55]-NRT-code) | [i] | OOA Folding | |