Information on Result #644466
Linear OA(937, 46, F9, 26) (dual of [46, 9, 27]-code), using construction XX applied to AG(F,0P) ⊂ AG(F,10P) ⊂ AG(F,11P) based on
- linear OA(926, 27, F9, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,9)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- linear OA(919, 27, F9, 16) (dual of [27, 8, 17]-code), using algebraic-geometric code AG(F,10P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(918, 27, F9, 15) (dual of [27, 9, 16]-code), using algebraic-geometric code AG(F,11P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(910, 18, F9, 9) (dual of [18, 8, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9119, 128, F9, 88) (dual of [128, 9, 89]-code) | [i] | Juxtaposition | |