Information on Result #903156

Linear OOA(4934, 2882455, F49, 2, 8) (dual of [(2882455, 2), 5764876, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(494, 50, F49, 2, 4) (dual of [(50, 2), 96, 5]-NRT-code), using
  2. linear OOA(4930, 2882405, F49, 2, 8) (dual of [(2882405, 2), 5764780, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(4930, 5764810, F49, 8) (dual of [5764810, 5764780, 9]-code), using
      • construction X applied to Ce(7) ⊂ Ce(5) [i] based on
        1. linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
        2. linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
        3. linear OA(491, 9, F49, 1) (dual of [9, 8, 2]-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 OOA(4949, 5764907, F49, 2, 8) (dual of [(5764907, 2), 11529765, 9]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(4950, 5764910, F49, 2, 8) (dual of [(5764910, 2), 11529770, 9]-NRT-code) [i]
3Linear OOA(4934, 1441227, F49, 10, 8) (dual of [(1441227, 10), 14412236, 9]-NRT-code) [i]OOA Folding and Stacking with Additional Row