Information on Result #701591
Linear OA(890, 97, F8, 70) (dual of [97, 7, 71]-code), using construction X applied to C([1,43]) ⊂ C({1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}) based on
- linear OA(872, 73, F8, 72) (dual of [73, 1, 73]-code or 73-arc in PG(71,8)), using the narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}, and minimum distance d ≥ |{−9,12,33,…,9}|+1 = 55 (BCH-bound) [i]
- linear OA(818, 24, F8, 15) (dual of [24, 6, 16]-code), using
- extended algebraic-geometric code AGe(F,8P) [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,4P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, 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.