MinT - Information on Result #894795

Information on Result #894795

Linear OOA(2²¹¹, 110, F₂, 2, 107) (dual of [(110, 2), 9, 108]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰², 55, F₂, 2, 53) (dual of [(55, 2), 8, 54]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁰², 56, F₂, 2, 53) (dual of [(56, 2), 10, 54]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4²³, 28, F₄, 17) (dual of [28, 5, 18]-code), using
      - 2 times truncation [i] based on linear OA(4²⁵, 30, F₄, 19) (dual of [30, 5, 20]-code), using
        a quasi-cyclic code by Gulliver and Bhargava [i]
    2. linear OOA(2², 2, F₂, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;2,2) [i]
linear OOA(2¹⁰⁹, 55, F₂, 2, 107) (dual of [(55, 2), 1, 108]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁰⁹, 55, F₂, 2, 109) (dual of [(55, 2), 1, 110]-NRT-code), using
  - dual of repetition NRT-code with length 55 [i]

Mode: Constructive and linear.

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