Information on Result #1019914

Linear OOA(25642, large, F256, 3, 8), using (u, u+v)-construction based on
  1. linear OOA(25610, 4194301, F256, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code), using
  2. linear OOA(25632, 5592402, F256, 3, 8) (dual of [(5592402, 3), 16777174, 9]-NRT-code), using
    • (u, u+v)-construction [i] based on
      1. linear OOA(25610, 4194301, F256, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code) (see above)
      2. 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]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(25642, large, F256, 3, 7) [i]Strength Reduction for OOAs
2Linear OOA(25642, large, F256, 3, 6) [i]
3Linear OOA(25642, large, F256, 3, 5) [i]
4Linear OOA(25642, large, F256, 3, 4) [i]
5Linear OOA(25642, large, F256, 3, 3) [i]
6Linear OOA(25643, large, F256, 3, 8) [i]OOA Duplication
7Linear OOA(25644, large, F256, 3, 8) [i]