Information on Result #1012909

Linear OOA(546, 2796267, F5, 3, 6) (dual of [(2796267, 3), 8388755, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(55, 66, F5, 3, 3) (dual of [(66, 3), 193, 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(561, 5592534, F5, 3, 6) (dual of [(5592534, 3), 16777541, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(5146, 5592456, F5, 3, 12) (dual of [(5592456, 3), 16777222, 13]-NRT-code) [i]
3Linear OOA(5147, 5592468, F5, 3, 12) (dual of [(5592468, 3), 16777257, 13]-NRT-code) [i]
4Linear OOA(5149, 5592506, F5, 3, 12) (dual of [(5592506, 3), 16777369, 13]-NRT-code) [i]
5Linear OOA(5150, 5592508, F5, 3, 12) (dual of [(5592508, 3), 16777374, 13]-NRT-code) [i]
6Linear OOA(546, 2796266, F5, 9, 6) (dual of [(2796266, 9), 25166348, 7]-NRT-code) [i]OOA Stacking with Additional Row