Information on Result #902601

Linear OOA(32108, 16432, F32, 2, 31) (dual of [(16432, 2), 32756, 32]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(3216, 44, F32, 2, 15) (dual of [(44, 2), 72, 16]-NRT-code), using
  2. linear OOA(3292, 16388, F32, 2, 31) (dual of [(16388, 2), 32684, 32]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(3292, 32776, F32, 31) (dual of [32776, 32684, 32]-code), using
      • construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
        1. linear OA(3291, 32769, F32, 31) (dual of [32769, 32678, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
        2. linear OA(3285, 32769, F32, 29) (dual of [32769, 32684, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
        3. linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-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.