MinT - Information on Result #1212453

Information on Result #1212453

Digital (126, 192, 163)-net over F₄, using (u,Â u+v)-construction based on

digital (15, 48, 33)-net over F₄, using
- net from sequence [i] based on digital (15, 32)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]
digital (78, 144, 130)-net over F₄, using
- trace code for nets [i] based on digital (6, 72, 65)-net over F₁₆, using
  - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (126, 191, 163)-net over F₄	[i]		m-Reduction
2	Digital (126, 190, 163)-net over F₄	[i]		m-Reduction