MinT - Information on Result #2996511

Information on Result #2996511

Linear OOA(2¹⁹⁰, 8388602, F₂, 8, 11) (dual of [(8388602, 8), 67108626, 12]-NRT-code), using 2⁴ times duplication based on linear OOA(2¹⁸⁶, 8388602, F₂, 8, 11) (dual of [(8388602, 8), 67108630, 12]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁴⁶, 4194305, F₂, 8, 5) (dual of [(4194305, 8), 33554394, 6]-NRT-code), using
  - appending 3 arbitrary columns [i] based on linear OOA(2⁴⁶, 4194305, F₂, 5, 5) (dual of [(4194305, 5), 20971479, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2⁴⁶, 4194305, F₂, 4, 5) (dual of [(4194305, 4), 16777174, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (41, 46, 4194305)-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.