Information on Result #644468
Linear OA(939, 47, F9, 28) (dual of [47, 8, 29]-code), using construction XX applied to AG(F,0P) ⊂ AG(F,10P) ⊂ AG(F,11P) based on
- linear OA(928, 29, F9, 28) (dual of [29, 1, 29]-code or 29-arc in PG(27,9)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OA(922, 29, F9, 18) (dual of [29, 7, 19]-code), using algebraic-geometric code AG(F,10P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30 (see above)
- linear OA(921, 29, F9, 17) (dual of [29, 8, 18]-code), using algebraic-geometric code AG(F,11P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30 (see above)
- linear OA(910, 17, F9, 9) (dual of [17, 7, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(90, 1, F9, 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
None.