Information on Result #1022561

Linear OOA(8176, 5598882, F81, 3, 12) (dual of [(5598882, 3), 16796570, 13]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(814, 3240, F81, 3, 3) (dual of [(3240, 3), 9716, 4]-NRT-code), using
  2. linear OOA(816, 3240, F81, 3, 4) (dual of [(3240, 3), 9714, 5]-NRT-code), using
  3. linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
  4. linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, 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

None.