Information on Result #1020151

Linear OOA(25668, 5592402, F256, 3, 16) (dual of [(5592402, 3), 16777138, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(25622, 2796201, F256, 3, 8) (dual of [(2796201, 3), 8388581, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OOA(25646, 2796201, F256, 3, 16) (dual of [(2796201, 3), 8388557, 17]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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
1OOA(12878, 5592402, S128, 3, 16) [i]Discarding Parts of the Base for OOAs
2Linear OOA(25668, 2796201, F256, 5, 16) (dual of [(2796201, 5), 13980937, 17]-NRT-code) [i]OOA Folding
3Linear OOA(25668, 2796201, F256, 6, 16) (dual of [(2796201, 6), 16777138, 17]-NRT-code) [i]