MinT - Information on Result #908893

Information on Result #908893

Linear OOA(2¹¹⁶, 60, F₂, 2, 73) (dual of [(60, 2), 4, 74]-NRT-code), using juxtaposition based on

linear OOA(2⁴, 4, F₂, 2, 3) (dual of [(4, 2), 4, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁴, 7, F₂, 2, 3) (dual of [(7, 2), 10, 4]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
    - Reedâ€“Muller code RM(1,3) [i]
    - caps in base bÂ =Â 2 [i]
linear OOA(2¹⁰⁸, 56, F₂, 2, 69) (dual of [(56, 2), 4, 70]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
  - an explicit generator matrix by Edel [i]

Mode: Constructive and linear.

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