Information on Result #731895

Linear OA(854, 32837, F8, 11) (dual of [32837, 32783, 12]-code), using (u, u+v)-construction based on
  1. linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
  2. linear OA(847, 32780, F8, 11) (dual of [32780, 32733, 12]-code), using
    • construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
      1. linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
      2. linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      3. linear OA(811, 12, F8, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,8)), using
      4. linear OA(81, 12, F8, 1) (dual of [12, 11, 2]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(854, 16418, F8, 2, 11) (dual of [(16418, 2), 32782, 12]-NRT-code) [i]OOA Folding
2Linear OOA(854, 10945, F8, 3, 11) (dual of [(10945, 3), 32781, 12]-NRT-code) [i]
3Linear OOA(854, 6567, F8, 11, 11) (dual of [(6567, 11), 72183, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row