MinT - Information on Result #894819

Information on Result #894819

Linear OOA(2²³⁸, 124, F₂, 2, 119) (dual of [(124, 2), 10, 120]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹⁵, 62, F₂, 2, 59) (dual of [(62, 2), 9, 60]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵⁴, 31, F₂, 2, 29) (dual of [(31, 2), 8, 30]-NRT-code), using
    - 6 step truncation [i] based on linear OOA(2⁶⁰, 34, F₂, 2, 35) (dual of [(34, 2), 8, 36]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
        projective code from ovoid in PG(3,Â 4) [i]
        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]
  2. linear OOA(2⁶¹, 31, F₂, 2, 59) (dual of [(31, 2), 1, 60]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁶¹, 31, F₂, 2, 61) (dual of [(31, 2), 1, 62]-NRT-code), using
      - dual of repetition NRT-code with length 31 [i]
linear OOA(2¹²³, 62, F₂, 2, 119) (dual of [(62, 2), 1, 120]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹²³, 62, F₂, 2, 123) (dual of [(62, 2), 1, 124]-NRT-code), using
  - dual of repetition NRT-code with length 62 [i]

Mode: Constructive and linear.

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