MinT - Information on Result #2880437

Information on Result #2880437

Linear OOA(3²³⁷, 165, F₃, 5, 79) (dual of [(165, 5), 588, 80]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(3²²², 162, F₃, 5, 79) (dual of [(162, 5), 588, 80]-NRT-code), using

extracting embedded OOA [i] based on digital (143, 222, 162)-net over F₃, using
- trace code for nets [i] based on digital (32, 111, 81)-net over F₉, using
  - net from sequence [i] based on digital (32, 80)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 32 and N(F) ≥ 81, using
      - F₄ from the tower of function fields by Bezerra and GarcÃa over F₉ [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²³⁸, 165, F₃, 5, 79) (dual of [(165, 5), 587, 80]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²³⁹, 165, F₃, 5, 79) (dual of [(165, 5), 586, 80]-NRT-code)	[i]		OOA Duplication