MinT - Information on Result #2920529

Information on Result #2920529

Linear OOA(2¹⁵³, 4456446, F₂, 6, 9) (dual of [(4456446, 6), 26738523, 10]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁵², 4456446, F₂, 6, 9) (dual of [(4456446, 6), 26738524, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³⁶, 262145, F₂, 6, 4) (dual of [(262145, 6), 1572834, 5]-NRT-code), using
  - appending 2 arbitrary columns [i] based on linear OOA(2³⁶, 262145, F₂, 4, 4) (dual of [(262145, 4), 1048544, 5]-NRT-code), using
    - appending kth column [i] based on linear OOA(2³⁶, 262145, F₂, 3, 4) (dual of [(262145, 3), 786399, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (32, 36, 262145)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
2. linear OOA(2¹¹⁶, 4194301, F₂, 6, 9) (dual of [(4194301, 6), 25165690, 10]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹¹⁶, large, F₂, 2, 9), 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.