Information on Result #909051

Linear OOA(3137, 74, F3, 2, 81) (dual of [(74, 2), 11, 82]-NRT-code), using juxtaposition based on
  1. linear OOA(345, 28, F3, 2, 30) (dual of [(28, 2), 11, 31]-NRT-code), using
  2. linear OOA(381, 46, F3, 2, 50) (dual of [(46, 2), 11, 51]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(381, 92, F3, 50) (dual of [92, 11, 51]-code), using
      • construction XX applied to C([0,99]) ⊂ C([0,87]) ⊂ C([1,87]) [i] based on
        1. linear OA(374, 80, F3, 50) (dual of [80, 6, 51]-code), using contraction [i] based on linear OA(3154, 160, F3, 101) (dual of [160, 6, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
        2. linear OA(370, 80, F3, 44) (dual of [80, 10, 45]-code), using contraction [i] based on linear OA(3150, 160, F3, 89) (dual of [160, 10, 90]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,87], and minimum distance d ≥ |{−1,0,…,87}|+1 = 90 (BCH-bound) [i]
        3. linear OA(369, 80, F3, 43) (dual of [80, 11, 44]-code), using contraction [i] based on linear OA(3149, 160, F3, 87) (dual of [160, 11, 88]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,87], and designed minimum distance d ≥ |I|+1 = 88 [i]
        4. linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
        5. linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.