Information on Result #1013224

Linear OOA(5142, 5592402, F5, 3, 13) (dual of [(5592402, 3), 16777064, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OOA(5101, 2796201, F5, 3, 13) (dual of [(2796201, 3), 8388502, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(5145, 5592403, F5, 3, 13) (dual of [(5592403, 3), 16777064, 14]-NRT-code) [i]NRT-Code Embedding in Larger Space
2Linear OOA(5143, 5592402, F5, 3, 13) (dual of [(5592402, 3), 16777063, 14]-NRT-code) [i]OOA Duplication
3Linear OOA(5144, 5592402, F5, 3, 13) (dual of [(5592402, 3), 16777062, 14]-NRT-code) [i]