Information on Result #701554

Linear OA(851, 75, F8, 32) (dual of [75, 24, 33]-code), using construction X applied to C({2,3,4,5,6,10,11,12,13,14,19,21}) ⊂ C({3,4,5,6,10,11,12,13,14,19}) based on
  1. linear OA(848, 65, F8, 32) (dual of [65, 17, 33]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {2,3,4,5,6,10,11,12,13,14,19,21}, and minimum distance d ≥ |{21,49,12,…,−21}|+1 = 33 (BCH-bound) [i]
  2. linear OA(840, 65, F8, 28) (dual of [65, 25, 29]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {3,4,5,6,10,11,12,13,14,19}, and minimum distance d ≥ |{12,40,3,…,−12}|+1 = 29 (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.