Information on Result #691258
Linear OA(989, 109, F9, 58) (dual of [109, 20, 59]-code), using construction X applied to Ce(59) ⊂ Ce(42) based on
- linear OA(972, 81, F9, 60) (dual of [81, 9, 61]-code), using an extension Ce(59) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(961, 81, F9, 43) (dual of [81, 20, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(917, 28, F9, 14) (dual of [28, 11, 15]-code), using
- extended algebraic-geometric code AGe(F,13P) [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,13P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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.