Information on Result #1017855

Linear OOA(6478, 5592402, F64, 3, 14) (dual of [(5592402, 3), 16777128, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. 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 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(6481, 5592403, F64, 3, 14) (dual of [(5592403, 3), 16777128, 15]-NRT-code) [i]NRT-Code Embedding in Larger Space
2Linear OOA(6479, 5592402, F64, 3, 14) (dual of [(5592402, 3), 16777127, 15]-NRT-code) [i]OOA Duplication
3Linear OOA(6480, 5592402, F64, 3, 14) (dual of [(5592402, 3), 16777126, 15]-NRT-code) [i]