MinT - Information on Result #1164384

Information on Result #1164384

Linear OOA(2¹⁵⁸, 4194578, F₂, 8, 10) (dual of [(4194578, 8), 33556466, 11]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹⁵⁸, 4194579, F₂, 5, 10) (dual of [(4194579, 5), 20972737, 11]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁹, 278, F₂, 5, 5) (dual of [(278, 5), 1371, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁹, 278, F₂, 4, 5) (dual of [(278, 4), 1093, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (14, 19, 278)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2¹³⁹, 4194301, F₂, 5, 10) (dual of [(4194301, 5), 20971366, 11]-NRT-code), using
  - OOA 2-folding [i] based on linear OOA(2¹³⁹, 8388602, F₂, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), using
    - 1 step truncation [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.