MinT - Information on Result #1027686

Information on Result #1027686

Linear OOA(7¹⁰⁷, 38, F₇, 3, 85) (dual of [(38, 3), 7, 86]-NRT-code), using juxtaposition based on

linear OOA(7¹⁷, 8, F₇, 3, 17) (dual of [(8, 3), 7, 18]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;7,7) [i]
linear OOA(7⁸³, 30, F₇, 3, 67) (dual of [(30, 3), 7, 68]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(7¹³, 6, F₇, 3, 13) (dual of [(6, 3), 5, 14]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(7¹³, 7, F₇, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;8,7) [i]
  2. linear OOA(7¹⁶, 6, F₇, 3, 16) (dual of [(6, 3), 2, 17]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(7¹⁶, 7, F₇, 3, 16) (dual of [(7, 3), 5, 17]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;5,7) [i]
  3. linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  4. linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code) (see above)
  5. linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code) (see above)

Mode: Constructive and linear.

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None.