MinT - Information on Result #2804853

Information on Result #2804853

Linear OOA(3²⁴², 166, F₃, 4, 81) (dual of [(166, 4), 422, 82]-NRT-code), using 4 times NRT-code embedding in larger space based on linear OOA(3²²⁶, 162, F₃, 4, 81) (dual of [(162, 4), 422, 82]-NRT-code), using

extracting embedded OOA [i] based on digital (145, 226, 162)-net over F₃, using
- trace code for nets [i] based on digital (32, 113, 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(3²⁴³, 166, F₃, 4, 81) (dual of [(166, 4), 421, 82]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁴⁴, 166, F₃, 4, 81) (dual of [(166, 4), 420, 82]-NRT-code)	[i]		OOA Duplication