Information on Result #644187
Linear OA(857, 67, F8, 42) (dual of [67, 10, 43]-code), using construction X applied to AG(F,21P) ⊂ AG(F,23P) based on
- linear OA(856, 64, F8, 42) (dual of [64, 8, 43]-code), using algebraic-geometric code AG(F,21P) [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(854, 64, F8, 40) (dual of [64, 10, 41]-code), using algebraic-geometric code AG(F,23P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (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
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.