Information on Result #895549

Linear OOA(4147, 4194817, F4, 2, 14) (dual of [(4194817, 2), 8389487, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(426, 516, F4, 2, 7) (dual of [(516, 2), 1006, 8]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(426, 1032, F4, 7) (dual of [1032, 1006, 8]-code), using
      • discarding factors / shortening the dual code based on linear OA(426, 1033, F4, 7) (dual of [1033, 1007, 8]-code), using
        • construction XX applied to C1 = C([1022,4]), C2 = C([0,5]), C3 = C1 + C2 = C([0,4]), and C∩ = C1 ∩ C2 = C([1022,5]) [i] based on
          1. linear OA(421, 1023, F4, 6) (dual of [1023, 1002, 7]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
          2. linear OA(421, 1023, F4, 6) (dual of [1023, 1002, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
          3. linear OA(426, 1023, F4, 7) (dual of [1023, 997, 8]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
          4. linear OA(416, 1023, F4, 5) (dual of [1023, 1007, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
          5. linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
          6. linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code) (see above)
  2. linear OOA(4121, 4194301, F4, 2, 14) (dual of [(4194301, 2), 8388481, 15]-NRT-code), using

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.