MinT - Information on Result #1010388

Information on Result #1010388

Linear OOA(3¹⁶, 45, F₃, 3, 6) (dual of [(45, 3), 119, 7]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵, 20, F₃, 3, 3) (dual of [(20, 3), 55, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(3⁵, 20, F₃, 2, 3) (dual of [(20, 2), 35, 4]-NRT-code), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁵, 20, F₃, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
    - doubling the cap [i] based on linear OA(3⁴, 10, F₃, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
      - ovoid in PG(3,Â 3) [i]
linear OOA(3¹¹, 25, F₃, 3, 6) (dual of [(25, 3), 64, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 11, 25)-net over F₃, using
  - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

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