Information on Result #678070

Linear OA(4251, 1048627, F4, 33) (dual of [1048627, 1048376, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) 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(4201, 1048577, F4, 27) (dual of [1048577, 1048376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(410, 50, F4, 5) (dual of [50, 40, 6]-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(4252, 1048628, F4, 33) (dual of [1048628, 1048376, 34]-code) [i]Code Embedding in Larger Space
2Linear OA(4253, 1048629, F4, 33) (dual of [1048629, 1048376, 34]-code) [i]
3Linear OA(4250, 1048626, F4, 32) (dual of [1048626, 1048376, 33]-code) [i]Truncation
4Linear OOA(4251, 524313, F4, 2, 33) (dual of [(524313, 2), 1048375, 34]-NRT-code) [i]OOA Folding
5Linear OOA(4251, 349542, F4, 3, 33) (dual of [(349542, 3), 1048375, 34]-NRT-code) [i]
6Linear OOA(4251, 65539, F4, 33, 33) (dual of [(65539, 33), 2162536, 34]-NRT-code) [i]OOA Folding and Stacking with Additional Row