Information on Result #1010665

Linear OOA(3173, 3327642, F3, 3, 13) (dual of [(3327642, 3), 9982753, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(352, 531441, F3, 3, 6) (dual of [(531441, 3), 1594271, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(352, 1594323, F3, 6) (dual of [1594323, 1594271, 7]-code), using
      • 1 times truncation [i] based on linear OA(353, 1594324, F3, 7) (dual of [1594324, 1594271, 8]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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.