Information on Result #1014380

Linear OOA(889, 5592430, F8, 3, 11) (dual of [(5592430, 3), 16777201, 12]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(87, 28, F8, 3, 5) (dual of [(28, 3), 77, 6]-NRT-code), using
  2. linear OOA(882, 5592402, F8, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
    • trace code [i] based on linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(890, 5592430, F8, 3, 11) (dual of [(5592430, 3), 16777200, 12]-NRT-code) [i]OOA Duplication
2Linear OOA(889, 2796214, F8, 15, 11) (dual of [(2796214, 15), 41943121, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row