Information on Result #688862
Linear OA(852, 83, F8, 29) (dual of [83, 31, 30]-code), using construction X applied to Ce(28) ⊂ Ce(20) based on
- linear OA(842, 64, F8, 29) (dual of [64, 22, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(833, 64, F8, 21) (dual of [64, 31, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(810, 19, F8, 7) (dual of [19, 9, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 23, F8, 7) (dual of [23, 13, 8]-code), using
- algebraic-geometric code AG(F,15P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,15P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(810, 23, F8, 7) (dual of [23, 13, 8]-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.