Information on Result #1323498

Linear OA(4255, 1048642, F4, 33) (dual of [1048642, 1048387, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
  1. linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(4255, 524321, F4, 2, 33) (dual of [(524321, 2), 1048387, 34]-NRT-code) [i]OOA Folding
2Linear OOA(4255, 349547, F4, 3, 33) (dual of [(349547, 3), 1048386, 34]-NRT-code) [i]