Information on Result #1323546

Linear OA(4177, 262210, F4, 25) (dual of [262210, 262033, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
  1. linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  3. linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using

Mode: 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(4177, 131105, F4, 2, 25) (dual of [(131105, 2), 262033, 26]-NRT-code) [i]OOA Folding
2Linear OOA(4177, 87403, F4, 3, 25) (dual of [(87403, 3), 262032, 26]-NRT-code) [i]