MinT - Information on Result #2908419

Information on Result #2908419

Linear OOA(2¹⁴⁰, 4198398, F₂, 6, 8) (dual of [(4198398, 6), 25190248, 9]-NRT-code), using strength reduction based on linear OOA(2¹⁴⁰, 4198398, F₂, 6, 9) (dual of [(4198398, 6), 25190248, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²⁴, 4097, F₂, 6, 4) (dual of [(4097, 6), 24558, 5]-NRT-code), using
  - appending 2 arbitrary columns [i] based on linear OOA(2²⁴, 4097, F₂, 4, 4) (dual of [(4097, 4), 16364, 5]-NRT-code), using
    - appending kth column [i] based on linear OOA(2²⁴, 4097, F₂, 3, 4) (dual of [(4097, 3), 12267, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (20, 24, 4097)-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.