Information on Result #701544

Linear OA(831, 75, F8, 16) (dual of [75, 44, 17]-code), using construction X applied to C({1,3,5,7,10,11,13}) ⊂ C({1,3,5,7,11}) based on
  1. linear OA(828, 65, F8, 16) (dual of [65, 37, 17]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {1,3,5,7,10,11,13}, and minimum distance d ≥ |{−15,−13,−11,…,15}|+1 = 17 (BCH-bound) [i]
  2. linear OA(820, 65, F8, 12) (dual of [65, 45, 13]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {1,3,5,7,11}, and minimum distance d ≥ |{−11,−9,−7,…,11}|+1 = 13 (BCH-bound) [i]
  3. linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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.