Information on Result #678307

Linear OA(4224, 262188, F4, 32) (dual of [262188, 261964, 33]-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(47, 43, F4, 4) (dual of [43, 36, 5]-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 OA(4225, 262189, F4, 32) (dual of [262189, 261964, 33]-code) [i]Code Embedding in Larger Space
2Linear OOA(4224, 131094, F4, 2, 32) (dual of [(131094, 2), 261964, 33]-NRT-code) [i]OOA Folding
3Linear OOA(4224, 87396, F4, 3, 32) (dual of [(87396, 3), 261964, 33]-NRT-code) [i]