MinT - Information on Result #906629

Information on Result #906629

Linear OOA(7⁴⁶, 36, F₇, 2, 25) (dual of [(36, 2), 26, 26]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7⁹, 12, F₇, 2, 8) (dual of [(12, 2), 15, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁹, 13, F₇, 2, 8) (dual of [(13, 2), 17, 9]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 9, 13)-net over F₇, using
    - 4 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
      - a shift-net [i]
linear OOA(7¹³, 12, F₇, 2, 12) (dual of [(12, 2), 11, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹³, 13, F₇, 2, 12) (dual of [(13, 2), 13, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 13, 13)-net over F₇ (see above)
linear OOA(7²⁴, 12, F₇, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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