MinT - Information on Result #1003639

Information on Result #1003639

Linear OOA(4²³⁴, 450, F₄, 3, 77) (dual of [(450, 3), 1116, 78]-NRT-code), using extracting embedded OOA 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(4²³⁴, 450, F₄, 3, 76) (dual of [(450, 3), 1116, 77]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²³⁷, 451, F₄, 3, 77) (dual of [(451, 3), 1116, 78]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(4²⁴⁰, 452, F₄, 3, 77) (dual of [(452, 3), 1116, 78]-NRT-code)	[i]
4	Linear OOA(4²⁴³, 453, F₄, 3, 77) (dual of [(453, 3), 1116, 78]-NRT-code)	[i]
5	Linear OOA(4²⁴⁶, 454, F₄, 3, 77) (dual of [(454, 3), 1116, 78]-NRT-code)	[i]
6	Linear OOA(4²⁴⁹, 455, F₄, 3, 77) (dual of [(455, 3), 1116, 78]-NRT-code)	[i]
7	Linear OOA(4²³⁵, 450, F₄, 3, 77) (dual of [(450, 3), 1115, 78]-NRT-code)	[i]		OOA Duplication