MinT - Information on Result #2996501

Information on Result #2996501

Linear OOA(2¹⁷³, 4227070, F₂, 8, 11) (dual of [(4227070, 8), 33816387, 12]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁷², 4227070, F₂, 8, 11) (dual of [(4227070, 8), 33816388, 12]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³², 32769, F₂, 8, 5) (dual of [(32769, 8), 262120, 6]-NRT-code), using
  - appending 3 arbitrary columns [i] based on linear OOA(2³², 32769, F₂, 5, 5) (dual of [(32769, 5), 163813, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2³², 32769, F₂, 4, 5) (dual of [(32769, 4), 131044, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (27, 32, 32769)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
2. linear OOA(2¹⁴⁰, 4194301, F₂, 8, 11) (dual of [(4194301, 8), 33554268, 12]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹⁴⁰, large, F₂, 3, 11), using
    - OOAs constructed from BCH codes [i]

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.