MinT - Information on Result #2788278

Information on Result #2788278

Linear OOA(2¹⁸², 5242878, F₂, 4, 11) (dual of [(5242878, 4), 20971330, 12]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁸¹, 5242878, F₂, 4, 11) (dual of [(5242878, 4), 20971331, 12]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁴², 1048577, F₂, 4, 5) (dual of [(1048577, 4), 4194266, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (37, 42, 1048577)-net over F₂, using
    - nets constructed from net-embeddable BCH codes [i]
2. linear OOA(2¹³⁹, 4194301, F₂, 4, 11) (dual of [(4194301, 4), 16777065, 12]-NRT-code), using
  - OOA 2-folding [i] based on linear OOA(2¹³⁹, 8388602, F₂, 2, 11) (dual of [(8388602, 2), 16777065, 12]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(2¹³⁹, large, F₂, 2, 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.