MinT - Information on Result #1164552

Information on Result #1164552

Linear OOA(2⁴¹, 52, F₂, 8, 12) (dual of [(52, 8), 375, 13]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁴¹, 53, F₂, 6, 12) (dual of [(53, 6), 277, 13]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁴, 26, F₂, 6, 6) (dual of [(26, 6), 142, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁴, 26, F₂, 5, 6) (dual of [(26, 5), 116, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 14, 26)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2²⁷, 27, F₂, 6, 12) (dual of [(27, 6), 135, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (15, 27, 27)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.