Information on Result #1012907

Linear OOA(544, 2796207, F5, 3, 6) (dual of [(2796207, 3), 8388577, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 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(559, 5592414, F5, 3, 6) (dual of [(5592414, 3), 16777183, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(5141, 5592414, F5, 3, 12) (dual of [(5592414, 3), 16777101, 13]-NRT-code) [i]
3Linear OOA(5142, 5592418, F5, 3, 12) (dual of [(5592418, 3), 16777112, 13]-NRT-code) [i]
4Linear OOA(5144, 5592435, F5, 3, 12) (dual of [(5592435, 3), 16777161, 13]-NRT-code) [i]
5Linear OOA(544, 2796206, F5, 9, 6) (dual of [(2796206, 9), 25165810, 7]-NRT-code) [i]OOA Stacking with Additional Row