MinT - Information on Result #908562

Information on Result #908562

Linear OOA(2¹⁸⁸, 98, F₂, 2, 96) (dual of [(98, 2), 8, 97]-NRT-code), using juxtaposition based on

linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2¹⁶⁸, 88, F₂, 2, 87) (dual of [(88, 2), 8, 88]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁶⁸, 91, F₂, 2, 87) (dual of [(91, 2), 14, 88]-NRT-code), using
  - 2¹ times duplication [i] based on linear OOA(2¹⁶⁷, 91, F₂, 2, 87) (dual of [(91, 2), 15, 88]-NRT-code), using
    - 1 times NRT-code embedding in larger space [i] based on linear OOA(2¹⁶⁵, 90, F₂, 2, 87) (dual of [(90, 2), 15, 88]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(8²⁵, 30, F₈, 21) (dual of [30, 5, 22]-code), using
        a quasi-cyclic code by Gulliver and Bhargava [i]
        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]

Mode: Constructive and linear.

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