Information on Result #900319

Linear OOA(2593, 340, F25, 2, 39) (dual of [(340, 2), 587, 40]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2519, 26, F25, 2, 19) (dual of [(26, 2), 33, 20]-NRT-code), using
  2. linear OOA(2574, 314, F25, 2, 39) (dual of [(314, 2), 554, 40]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2574, 628, F25, 39) (dual of [628, 554, 40]-code), using
      • construction XX applied to C1 = C([623,36]), C2 = C([0,37]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([623,37]) [i] based on
        1. linear OA(2572, 624, F25, 38) (dual of [624, 552, 39]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,36}, and designed minimum distance d ≥ |I|+1 = 39 [i]
        2. linear OA(2572, 624, F25, 38) (dual of [624, 552, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
        3. linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,37}, and designed minimum distance d ≥ |I|+1 = 40 [i]
        4. linear OA(2570, 624, F25, 37) (dual of [624, 554, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [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.