Information on Result #1010647

Linear OOA(3131, 2796220, F3, 3, 13) (dual of [(2796220, 3), 8388529, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(310, 19, F3, 3, 6) (dual of [(19, 3), 47, 7]-NRT-code), using
  2. linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(3191, 5592421, F3, 3, 13) (dual of [(5592421, 3), 16777072, 14]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3195, 5592431, F3, 3, 13) (dual of [(5592431, 3), 16777098, 14]-NRT-code) [i]
3Linear OOA(3131, 1398109, F3, 15, 13) (dual of [(1398109, 15), 20971504, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row