MinT - Information on Result #1021826

Information on Result #1021826

Linear OOA(7¹⁰⁵, 45, F₇, 3, 63) (dual of [(45, 3), 30, 64]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7¹³, 9, F₇, 3, 12) (dual of [(9, 3), 14, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹³, 13, F₇, 3, 12) (dual of [(13, 3), 26, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 13, 13)-net over F₇, using
    - a shift-net [i]
linear OOA(7¹⁶, 9, F₇, 3, 15) (dual of [(9, 3), 11, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 16, 9)-net over F₇, using
  - net from sequence [i] based on digital (1, 8)-sequence over F₇, using
    - Niederreiter sequence [i]
linear OOA(7²², 9, F₇, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 22, 9)-net over F₇, using
  - net from sequence [i] based on digital (1, 8)-sequence over F₇ (see above)
linear OOA(7²⁷, 9, F₇, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(7²⁷, 9, F₇, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code) (see above)

Mode: Constructive and linear.

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