Information on Result #900259

Linear OOA(2588, 342, F25, 2, 36) (dual of [(342, 2), 596, 37]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2520, 28, F25, 2, 18) (dual of [(28, 2), 36, 19]-NRT-code), using
  2. linear OOA(2568, 314, F25, 2, 36) (dual of [(314, 2), 560, 37]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2568, 628, F25, 36) (dual of [628, 560, 37]-code), using
      • construction XX applied to C1 = C([623,33]), C2 = C([0,34]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([623,34]) [i] based on
        1. linear OA(2566, 624, F25, 35) (dual of [624, 558, 36]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
        2. linear OA(2566, 624, F25, 35) (dual of [624, 558, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
        3. linear OA(2568, 624, F25, 36) (dual of [624, 556, 37]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
        4. linear OA(2564, 624, F25, 34) (dual of [624, 560, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
        5. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
        6. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)

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.