MinT - Information on Result #1177493

Information on Result #1177493

Linear OOA(2¹⁶⁵, 21, F₂, 8, 154) (dual of [(21, 8), 3, 155]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 3, F₂, 8, 21) (dual of [(3, 8), 3, 22]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(8;3,2) [i]
linear OOA(2¹⁴¹, 18, F₂, 8, 132) (dual of [(18, 8), 3, 133]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²¹, 3, F₂, 8, 21) (dual of [(3, 8), 3, 22]-NRT-code) (see above)
  2. linear OOA(2¹¹⁷, 15, F₂, 8, 110) (dual of [(15, 8), 3, 111]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2³⁷, 5, F₂, 8, 36) (dual of [(5, 8), 3, 37]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(8;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: