Information on Result #1014547

Linear OOA(8155, large, F8, 3, 14), using (u, u+v)-construction based on
  1. linear OOA(849, 2796201, F8, 3, 7) (dual of [(2796201, 3), 8388554, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(849, large, F8, 7) (dual of [large, large−49, 8]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OOA(8106, 5592402, F8, 3, 14) (dual of [(5592402, 3), 16777100, 15]-NRT-code), using
    • trace code [i] based on linear OOA(6453, 2796201, F64, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
        • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, 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 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(8155, large, F8, 3, 13) [i]Strength Reduction for OOAs
2Linear OOA(8155, large, F8, 3, 12) [i]
3Linear OOA(8155, large, F8, 3, 11) [i]
4Linear OOA(8155, large, F8, 3, 10) [i]
5Linear OOA(8155, large, F8, 3, 9) [i]
6Linear OOA(8155, large, F8, 3, 8) [i]
7Linear OOA(8155, large, F8, 3, 7) [i]
8Linear OOA(8155, large, F8, 3, 6) [i]
9Linear OOA(8155, large, F8, 3, 5) [i]
10Linear OOA(8155, large, F8, 3, 4) [i]
11Linear OOA(8155, large, F8, 3, 3) [i]
12Linear OOA(8158, large, F8, 3, 14) [i]NRT-Code Embedding in Larger Space
13Linear OOA(8161, large, F8, 3, 14) [i]
14Linear OOA(8164, large, F8, 3, 14) [i]
15Linear OOA(8167, large, F8, 3, 14) [i]
16Linear OOA(8170, large, F8, 3, 14) [i]
17Linear OOA(8173, large, F8, 3, 14) [i]
18Linear OOA(8156, large, F8, 3, 14) [i]OOA Duplication
19Linear OOA(8157, large, F8, 3, 14) [i]
20Linear OOA(8155, 2796200, F8, 21, 14) (dual of [(2796200, 21), 58720045, 15]-NRT-code) [i]OOA Folding and Stacking with Additional Row