Information on Result #1010658

Linear OOA(3148, 2796565, F3, 3, 13) (dual of [(2796565, 3), 8389547, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(327, 364, F3, 3, 6) (dual of [(364, 3), 1065, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(327, 1092, F3, 6) (dual of [1092, 1065, 7]-code), using
      • 1 times truncation [i] based on linear OA(328, 1093, F3, 7) (dual of [1093, 1065, 8]-code), using
        • the BCH-code C(I) with length 1093 | 37−1, defining interval I = {−3,−1,1,…,9}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, 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

None.