Information on Result #1018613

Linear OOA(8156, 2798388, F81, 3, 12) (dual of [(2798388, 3), 8395108, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(8111, 2187, F81, 3, 6) (dual of [(2187, 3), 6550, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using
      • an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  2. linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, 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(8177, 5594589, F81, 3, 12) (dual of [(5594589, 3), 16783690, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(8180, 5594671, F81, 3, 12) (dual of [(5594671, 3), 16783933, 13]-NRT-code) [i]
3Linear OOA(8181, 5596776, F81, 3, 12) (dual of [(5596776, 3), 16790247, 13]-NRT-code) [i]