MinT - Information on Result #2693300

Information on Result #2693300

Linear OOA(4²⁴⁶, 454, F₄, 3, 77) (dual of [(454, 3), 1116, 78]-NRT-code), using 4 times NRT-code embedding in larger space based on linear OOA(4²³⁴, 450, F₄, 3, 77) (dual of [(450, 3), 1116, 78]-NRT-code), using

extracting embedded OOA [i] based on digital (157, 234, 450)-net over F₄, using
- trace code for nets [i] based on digital (40, 117, 225)-net over F₁₆, using
  - net from sequence [i] based on digital (40, 224)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225, using
      - a function field by GarcÃa and Quoos [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(4²⁴⁷, 454, F₄, 3, 77) (dual of [(454, 3), 1115, 78]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4²⁴⁸, 454, F₄, 3, 77) (dual of [(454, 3), 1114, 78]-NRT-code)	[i]		OOA Duplication