Information on Result #677875

Linear OA(4209, 4194359, F4, 25) (dual of [4194359, 4194150, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(4199, 4194305, F4, 25) (dual of [4194305, 4194106, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(4155, 4194305, F4, 19) (dual of [4194305, 4194150, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(410, 54, F4, 5) (dual of [54, 44, 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(4210, 4194360, F4, 25) (dual of [4194360, 4194150, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(4211, 4194361, F4, 25) (dual of [4194361, 4194150, 26]-code) [i]
3Linear OA(4208, 4194358, F4, 24) (dual of [4194358, 4194150, 25]-code) [i]Truncation
4Linear OOA(4209, 2097179, F4, 2, 25) (dual of [(2097179, 2), 4194149, 26]-NRT-code) [i]OOA Folding
5Linear OOA(4209, 1398119, F4, 3, 25) (dual of [(1398119, 3), 4194148, 26]-NRT-code) [i]
6Linear OOA(4209, 349529, F4, 25, 25) (dual of [(349529, 25), 8738016, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row