Information on Result #1013154

Linear OOA(5100, 2796228, F5, 3, 12) (dual of [(2796228, 3), 8388584, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(59, 27, F5, 3, 6) (dual of [(27, 3), 72, 7]-NRT-code), using
  2. linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], 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(5141, 5592429, F5, 3, 12) (dual of [(5592429, 3), 16777146, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(5144, 5592435, F5, 3, 12) (dual of [(5592435, 3), 16777161, 13]-NRT-code) [i]
3Linear OOA(5145, 5592455, F5, 3, 12) (dual of [(5592455, 3), 16777220, 13]-NRT-code) [i]
4Linear OOA(5146, 5592456, F5, 3, 12) (dual of [(5592456, 3), 16777222, 13]-NRT-code) [i]
5Linear OOA(5100, 1398113, F5, 15, 12) (dual of [(1398113, 15), 20971595, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row