MinT - Information on Result #894748

Information on Result #894748

Linear OOA(2¹⁶⁴, 86, F₂, 2, 85) (dual of [(86, 2), 8, 86]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁹, 43, F₂, 2, 42) (dual of [(43, 2), 7, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁷⁹, 45, F₂, 2, 42) (dual of [(45, 2), 11, 43]-NRT-code), using
  - 5 step truncation [i] based on linear OOA(2⁸⁴, 48, F₂, 2, 47) (dual of [(48, 2), 12, 48]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
        a code by Marcugini, Milani, and Pambianco [i]
      2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
linear OOA(2⁸⁵, 43, F₂, 2, 85) (dual of [(43, 2), 1, 86]-NRT-code), using
- dual of repetition NRT-code with length 43 [i]

Mode: Constructive and linear.

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