MinT - Information on Result #2959740

Information on Result #2959740

Linear OOA(2¹⁷⁵, 4259838, F₂, 7, 11) (dual of [(4259838, 7), 29818691, 12]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁷⁴, 4259838, F₂, 7, 11) (dual of [(4259838, 7), 29818692, 12]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³⁴, 65537, F₂, 7, 5) (dual of [(65537, 7), 458725, 6]-NRT-code), using
  - appending 2 arbitrary columns [i] based on linear OOA(2³⁴, 65537, F₂, 5, 5) (dual of [(65537, 5), 327651, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2³⁴, 65537, F₂, 4, 5) (dual of [(65537, 4), 262114, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (29, 34, 65537)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
2. linear OOA(2¹⁴⁰, 4194301, F₂, 7, 11) (dual of [(4194301, 7), 29359967, 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.