Information on Result #1012908

Linear OOA(545, 2796227, F5, 3, 6) (dual of [(2796227, 3), 8388636, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(54, 26, F5, 3, 3) (dual of [(26, 3), 74, 4]-NRT-code), using
  2. linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(560, 5592454, F5, 3, 6) (dual of [(5592454, 3), 16777302, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(5143, 5592422, F5, 3, 12) (dual of [(5592422, 3), 16777123, 13]-NRT-code) [i]
3Linear OOA(5144, 5592430, F5, 3, 12) (dual of [(5592430, 3), 16777146, 13]-NRT-code) [i]
4Linear OOA(5145, 5592455, F5, 3, 12) (dual of [(5592455, 3), 16777220, 13]-NRT-code) [i]
5Linear OOA(5146, 5592461, F5, 3, 12) (dual of [(5592461, 3), 16777237, 13]-NRT-code) [i]
6Linear OOA(5148, 5592480, F5, 3, 12) (dual of [(5592480, 3), 16777292, 13]-NRT-code) [i]
7Linear OOA(545, 2796226, F5, 9, 6) (dual of [(2796226, 9), 25165989, 7]-NRT-code) [i]OOA Stacking with Additional Row