Information on Result #1020010

Linear OOA(25650, 5592402, F256, 3, 12) (dual of [(5592402, 3), 16777156, 13]-NRT-code), 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(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 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(25653, 5592403, F256, 3, 12) (dual of [(5592403, 3), 16777156, 13]-NRT-code) [i]NRT-Code Embedding in Larger Space
2Linear OOA(25651, 5592402, F256, 3, 12) (dual of [(5592402, 3), 16777155, 13]-NRT-code) [i]OOA Duplication
3Linear OOA(25652, 5592402, F256, 3, 12) (dual of [(5592402, 3), 16777154, 13]-NRT-code) [i]
4Linear OOA(25666, large, F256, 3, 12) [i](u, u+v)-Construction for OOAs
5Linear OOA(25650, 2796201, F256, 5, 12) (dual of [(2796201, 5), 13980955, 13]-NRT-code) [i]OOA Folding
6Linear OOA(25650, 2796201, F256, 6, 12) (dual of [(2796201, 6), 16777156, 13]-NRT-code) [i]