Information on Result #688860
Linear OA(854, 83, F8, 30) (dual of [83, 29, 31]-code), using construction X applied to Ce(29) ⊂ Ce(21) based on
- linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(835, 64, F8, 22) (dual of [64, 29, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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.