Information on Result #701569
Linear OA(870, 87, F8, 45) (dual of [87, 17, 46]-code), using construction X applied to C({0,1,2,3,4,5,6,7,9,11,12,13,14,17,18,21,25,26,27,33,36}) ⊂ C([0,27]) based on
- linear OA(861, 73, F8, 45) (dual of [73, 12, 46]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {0,1,2,3,4,5,6,7,9,11,12,13,14,17,18,21,25,26,27,33,36}, and minimum distance d ≥ |{−11,−10,…,33}|+1 = 46 (BCH-bound) [i]
- linear OA(855, 73, F8, 36) (dual of [73, 18, 37]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [0,32], and minimum distance d ≥ |{−3,−2,…,32}|+1 = 37 (BCH-bound) [i]
- linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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.