Information on Result #731827
Linear OA(9115, 123, F9, 88) (dual of [123, 8, 89]-code), using juxtaposition based on
- 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, using
- the Hermitian function field over F9 [i]
- algebraic-geometric code AG(F,10P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(988, 96, F9, 71) (dual of [96, 8, 72]-code), using
- construction X applied to Ce(70) ⊂ Ce(60) [i] based on
- linear OA(978, 81, F9, 71) (dual of [81, 3, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(973, 81, F9, 61) (dual of [81, 8, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(910, 15, F9, 9) (dual of [15, 5, 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
- construction X applied to Ce(70) ⊂ Ce(60) [i] based on
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.