MinT - Information on Result #1027696

Information on Result #1027696

Linear OOA(7¹⁰⁹, 38, F₇, 3, 91) (dual of [(38, 3), 5, 92]-NRT-code), using juxtaposition based on

linear OOA(7¹⁰, 5, F₇, 3, 10) (dual of [(5, 3), 5, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹⁰, 7, F₇, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;11,7) [i]
linear OOA(7⁹⁴, 33, F₇, 3, 80) (dual of [(33, 3), 5, 81]-NRT-code), using
- strength reduction [i] based on linear OOA(7⁹⁴, 33, F₇, 3, 81) (dual of [(33, 3), 5, 82]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(3;5,7) [i]
    2. linear OOA(7⁷⁰, 25, F₇, 3, 61) (dual of [(25, 3), 5, 62]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code) (see above)
        linear OOA(7⁴⁶, 17, F₇, 3, 41) (dual of [(17, 3), 5, 42]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code) (see above)
        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, using
        Niederreiter sequence [i]

Mode: Constructive and linear.

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