Information on Result #1022890

Linear OOA(25666, 5592916, F256, 3, 14) (dual of [(5592916, 3), 16778682, 15]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
  2. linear OOA(2564, 257, F256, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
  3. linear OOA(25619, 2796201, F256, 3, 7) (dual of [(2796201, 3), 8388584, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
  4. linear OOA(25640, 2796201, F256, 3, 14) (dual of [(2796201, 3), 8388563, 15]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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

None.