Information on Result #731803
Linear OA(898, 105, F8, 74) (dual of [105, 7, 75]-code), using juxtaposition based on
- linear OA(816, 23, F8, 13) (dual of [23, 7, 14]-code), using
- algebraic-geometric code AG(F,9P) [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,9P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(875, 82, F8, 60) (dual of [82, 7, 61]-code), using
- construction X applied to C([0,42]) ⊂ C({1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}) [i] based on
- linear OA(870, 73, F8, 63) (dual of [73, 3, 64]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [0,42], and minimum distance d ≥ |{−20,−19,…,42}|+1 = 64 (BCH-bound) [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(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
- extended Reed–Solomon code RSe(4,8) [i]
- construction X applied to C([0,42]) ⊂ C({1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}) [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.