Information on Result #1013222

Linear OOA(5119, 2796411, F5, 3, 13) (dual of [(2796411, 3), 8389114, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(518, 210, F5, 3, 6) (dual of [(210, 3), 612, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(518, 630, F5, 6) (dual of [630, 612, 7]-code), using
      • construction X applied to Ce(5) ⊂ Ce(3) [i] based on
        1. linear OA(517, 625, F5, 6) (dual of [625, 608, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
        2. linear OA(513, 625, F5, 4) (dual of [625, 612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        3. linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
  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(5120, 2796411, F5, 3, 13) (dual of [(2796411, 3), 8389113, 14]-NRT-code) [i]OOA Duplication