MinT - Information on Result #908760

Information on Result #908760

Linear OOA(2¹²⁴, 65, F₂, 2, 67) (dual of [(65, 2), 6, 68]-NRT-code), using juxtaposition based on

linear OOA(2²², 14, F₂, 2, 13) (dual of [(14, 2), 6, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁹, 9, F₂, 2, 6) (dual of [(9, 2), 9, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
      - a shift-net [i]
  2. linear OOA(2¹³, 7, F₂, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
    - dual of repetition NRT-code with length 7 [i]
linear OOA(2⁹⁶, 51, F₂, 2, 53) (dual of [(51, 2), 6, 54]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
      - an explicit generator matrix by Edel [i]
    2. linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
      - dual of repetition NRT-code with length 9 [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.