MinT - Information on Result #1193039

Information on Result #1193039

Linear OOA(9¹⁹, 399, F₉, 9, 6) (dual of [(399, 9), 3572, 7]-NRT-code), using OOA stacking with additional row based on linear OOA(9¹⁹, 400, F₉, 3, 6) (dual of [(400, 3), 1181, 7]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9⁵, 212, F₉, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(9⁵, 212, F₉, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9⁵, 212, F₉, 3) (dual of [212, 207, 4]-code or 212-cap in PG(4,9)), using
      - caps completed using a computer search [i]
2. linear OOA(9¹⁴, 200, F₉, 3, 6) (dual of [(200, 3), 586, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 14, 200)-net over F₉, using
    - trace code for nets [i] based on digital (1, 7, 100)-net over F₈₁, using
      - net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
        a function field by SÃ©mirat [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (13, 19, 399)-net over F₉	[i]		Net Defined by OOA