Information on Result #1323535

Linear OA(4226, 262190, F4, 33) (dual of [262190, 261964, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
  1. linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(4181, 262145, F4, 27) (dual of [262145, 261964, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(49, 45, F4, 5) (dual of [45, 36, 6]-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(4226, 131095, F4, 2, 33) (dual of [(131095, 2), 261964, 34]-NRT-code) [i]OOA Folding
2Linear OOA(4226, 87396, F4, 3, 33) (dual of [(87396, 3), 261962, 34]-NRT-code) [i]