MinT - Information on Result #2692800

Information on Result #2692800

Linear OOA(4²²⁵, 451, F₄, 3, 71) (dual of [(451, 3), 1128, 72]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4²²², 450, F₄, 3, 71) (dual of [(450, 3), 1128, 72]-NRT-code), using

extracting embedded OOA [i] based on digital (151, 222, 450)-net over F₄, using
- trace code for nets [i] based on digital (40, 111, 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(4²²⁶, 451, F₄, 3, 71) (dual of [(451, 3), 1127, 72]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4²²⁷, 451, F₄, 3, 71) (dual of [(451, 3), 1126, 72]-NRT-code)	[i]		OOA Duplication