MinT - Information on Result #1009920

Information on Result #1009920

Linear OOA(2¹³⁷, 48, F₂, 3, 75) (dual of [(48, 3), 7, 76]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶², 23, F₂, 3, 37) (dual of [(23, 3), 7, 38]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁴, 10, F₂, 3, 18) (dual of [(10, 3), 6, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁸, 13, F₂, 3, 37) (dual of [(13, 3), 1, 38]-NRT-code), using
    - strength reduction [i] based on linear OOA(2³⁸, 13, F₂, 3, 38) (dual of [(13, 3), 1, 39]-NRT-code), using
      - dual of repetition NRT-code with length 13 [i]
linear OOA(2⁷⁵, 25, F₂, 3, 75) (dual of [(25, 3), 0, 76]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.