Information on Result #902809

Linear OOA(32108, 635, F32, 2, 40) (dual of [(635, 2), 1162, 41]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(3231, 120, F32, 2, 20) (dual of [(120, 2), 209, 21]-NRT-code), using
  2. linear OOA(3277, 515, F32, 2, 40) (dual of [(515, 2), 953, 41]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(3277, 1030, F32, 40) (dual of [1030, 953, 41]-code), using
      • construction XX applied to C1 = C([1021,36]), C2 = C([0,37]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([1021,37]) [i] based on
        1. linear OA(3274, 1023, F32, 39) (dual of [1023, 949, 40]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,36}, and designed minimum distance d ≥ |I|+1 = 40 [i]
        2. linear OA(3272, 1023, F32, 38) (dual of [1023, 951, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
        3. linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,37}, and designed minimum distance d ≥ |I|+1 = 41 [i]
        4. linear OA(3270, 1023, F32, 37) (dual of [1023, 953, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
        5. linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
        6. linear OA(320, 2, F32, 0) (dual of [2, 2, 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.