Information on Result #1011857

Linear OOA(4117, 2796219, F4, 3, 12) (dual of [(2796219, 3), 8388540, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(49, 18, F4, 3, 6) (dual of [(18, 3), 45, 7]-NRT-code), using
  2. linear OOA(4108, 2796201, F4, 3, 12) (dual of [(2796201, 3), 8388495, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4108, large, F4, 12) (dual of [large, large−108, 13]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(4117, 1398109, F4, 15, 12) (dual of [(1398109, 15), 20971518, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row