Information on Result #663444

Linear OA(8166, 2097171, F8, 24) (dual of [2097171, 2097005, 25]-code), using generalized (u, u+v)-construction based on
  1. linear OA(84, 5, F8, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,8)), using
  2. linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)), using
  3. linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)) (see above)
  4. linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)) (see above)
  5. linear OA(8147, 2097151, F8, 24) (dual of [2097151, 2097004, 25]-code), using
    • 1 times truncation [i] based on linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using
      • an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]

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.

Other Results with Identical Parameters

None.

Depending Results

None.