Information on Result #658808
Linear OA(857, 75, F8, 38) (dual of [75, 18, 39]-code), using construction X applied to AG(F,25P) ⊂ AG(F,31P) based on
- linear OA(851, 64, F8, 38) (dual of [64, 13, 39]-code), using algebraic-geometric code AG(F,25P) 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(846, 64, F8, 32) (dual of [64, 18, 33]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(86, 11, F8, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), 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.