Information on Result #1018430

Linear OOA(8125, 2802763, F81, 3, 6) (dual of [(2802763, 3), 8408264, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(814, 6562, F81, 3, 3) (dual of [(6562, 3), 19682, 4]-NRT-code), using
  2. 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]

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(8132, 5605526, F81, 3, 6) (dual of [(5605526, 3), 16816546, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(8177, 5592602, F81, 3, 12) (dual of [(5592602, 3), 16777729, 13]-NRT-code) [i]
3Linear OOA(8178, 5592634, F81, 3, 12) (dual of [(5592634, 3), 16777824, 13]-NRT-code) [i]
4Linear OOA(8179, 5592730, F81, 3, 12) (dual of [(5592730, 3), 16778111, 13]-NRT-code) [i]
5Linear OOA(8180, 5592766, F81, 3, 12) (dual of [(5592766, 3), 16778218, 13]-NRT-code) [i]
6Linear OOA(8181, 5596776, F81, 3, 12) (dual of [(5596776, 3), 16790247, 13]-NRT-code) [i]
7Linear OOA(8182, 5596778, F81, 3, 12) (dual of [(5596778, 3), 16790252, 13]-NRT-code) [i]
8Linear OOA(8181, 5592602, F81, 3, 13) (dual of [(5592602, 3), 16777725, 14]-NRT-code) [i]
9Linear OOA(8182, 5592634, F81, 3, 13) (dual of [(5592634, 3), 16777820, 14]-NRT-code) [i]
10Linear OOA(8125, 2802762, F81, 4, 6) (dual of [(2802762, 4), 11211023, 7]-NRT-code) [i]OOA Stacking with Additional Row
11Linear OOA(8125, 2802762, F81, 9, 6) (dual of [(2802762, 9), 25224833, 7]-NRT-code) [i]