Information on Result #678081

Linear OA(4191, 1048627, F4, 25) (dual of [1048627, 1048436, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. 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]
  2. linear OA(4141, 1048577, F4, 19) (dual of [1048577, 1048436, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4192, 1048628, F4, 25) (dual of [1048628, 1048436, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(4193, 1048629, F4, 25) (dual of [1048629, 1048436, 26]-code) [i]
3Linear OA(4190, 1048626, F4, 24) (dual of [1048626, 1048436, 25]-code) [i]Truncation
4Linear OOA(4191, 524313, F4, 2, 25) (dual of [(524313, 2), 1048435, 26]-NRT-code) [i]OOA Folding
5Linear OOA(4191, 349542, F4, 3, 25) (dual of [(349542, 3), 1048435, 26]-NRT-code) [i]
6Linear OOA(4191, 87385, F4, 25, 25) (dual of [(87385, 25), 2184434, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row