Information on Result #658785
Linear OA(871, 78, F8, 55) (dual of [78, 7, 56]-code), using construction X applied to AG(F,10P) ⊂ AG(F,18P) 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(857, 64, F8, 45) (dual of [64, 7, 46]-code), using algebraic-geometric code AG(F,18P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(810, 14, F8, 9) (dual of [14, 4, 10]-code), using
- extended algebraic-geometric code AGe(F,4P) [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
None.