Information on Result #701580

Linear OA(875, 85, F8, 54) (dual of [85, 10, 55]-code), using construction X applied to C({1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42,43}) ⊂ C({1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42}) based on
  1. 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 = {1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42,43}, and minimum distance d ≥ |{30,33,36,…,−30}|+1 = 55 (BCH-bound) [i]
  2. linear OA(863, 73, F8, 45) (dual of [73, 10, 46]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42}, and minimum distance d ≥ |{−19,−16,−13,…,−33}|+1 = 46 (BCH-bound) [i]
  3. linear OA(89, 12, F8, 8) (dual of [12, 3, 9]-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.