Information on Result #1020030

Linear OOA(25666, large, F256, 3, 12), using (u, u+v)-construction based on
  1. linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OOA(25650, 5592402, F256, 3, 12) (dual of [(5592402, 3), 16777156, 13]-NRT-code), using
    • (u, u+v)-construction [i] based on
      1. linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code) (see above)
      2. linear OOA(25634, 2796201, F256, 3, 12) (dual of [(2796201, 3), 8388569, 13]-NRT-code), using
        • OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
          • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, 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 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(25666, large, F256, 3, 11) [i]Strength Reduction for OOAs
2Linear OOA(25666, large, F256, 3, 10) [i]
3Linear OOA(25666, large, F256, 3, 9) [i]
4Linear OOA(25666, large, F256, 3, 8) [i]
5Linear OOA(25666, large, F256, 3, 7) [i]
6Linear OOA(25666, large, F256, 3, 6) [i]
7Linear OOA(25666, large, F256, 3, 5) [i]
8Linear OOA(25666, large, F256, 3, 4) [i]
9Linear OOA(25666, large, F256, 3, 3) [i]
10Linear OOA(25667, large, F256, 3, 12) [i]OOA Duplication