MinT - Information on Result #1010408

Information on Result #1010408

Linear OOA(3¹⁹, 52, F₃, 3, 7) (dual of [(52, 3), 137, 8]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁶, 56, F₃, 3, 3) (dual of [(56, 3), 162, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(3⁶, 56, F₃, 2, 3) (dual of [(56, 2), 106, 4]-NRT-code), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁶, 56, F₃, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
    - the Hill cap [i]
linear OOA(3¹³, 26, F₃, 3, 7) (dual of [(26, 3), 65, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 13, 26)-net over F₃, using
  - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

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