Information on Result #1013829

Linear OOA(799, 5592423, F7, 3, 10) (dual of [(5592423, 3), 16777170, 11]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(77, 21, F7, 3, 5) (dual of [(21, 3), 56, 6]-NRT-code), using
  2. linear OOA(792, 5592402, F7, 3, 10) (dual of [(5592402, 3), 16777114, 11]-NRT-code), using
    • trace code [i] based on linear OOA(4946, 2796201, F49, 3, 10) (dual of [(2796201, 3), 8388557, 11]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(799, 2796211, F7, 15, 10) (dual of [(2796211, 15), 41943066, 11]-NRT-code) [i]OOA Folding and Stacking with Additional Row