Information on Result #658951
Linear OA(866, 92, F8, 37) (dual of [92, 26, 38]-code), using construction XX applied to AG(F,26P) ⊂ AG(F,38P) ⊂ AG(F,39P) based on
- linear OA(850, 64, F8, 37) (dual of [64, 14, 38]-code), using algebraic-geometric code AG(F,26P) 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(839, 64, F8, 25) (dual of [64, 25, 26]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(838, 64, F8, 24) (dual of [64, 26, 25]-code), using algebraic-geometric code AG(F,39P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(815, 27, F8, 11) (dual of [27, 12, 12]-code), using
- construction X applied to AG(F,6P) ⊂ AG(F,7P) [i] based on
- linear OA(814, 24, F8, 11) (dual of [24, 10, 12]-code), using algebraic-geometric code AG(F,6P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- linear OA(812, 24, F8, 9) (dual of [24, 12, 10]-code), using algebraic-geometric code AG(F,7P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,6P) ⊂ AG(F,7P) [i] based on
- 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(866, 46, F8, 2, 37) (dual of [(46, 2), 26, 38]-NRT-code) | [i] | OOA Folding | |