Information on Result #644647
Linear OA(974, 97, F9, 44) (dual of [97, 23, 45]-code), using construction X applied to AG(F,28P) ⊂ AG(F,39P) based on
- linear OA(961, 73, F9, 44) (dual of [73, 12, 45]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OA(950, 73, F9, 33) (dual of [73, 23, 34]-code), using algebraic-geometric code AG(F,39P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OA(913, 24, F9, 10) (dual of [24, 11, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-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.