MinT - Information on Result #888825

Information on Result #888825

Linear OOA(4⁷², 130, F₄, 2, 30) (dual of [(130, 2), 188, 31]-NRT-code), using extracting embedded OOA based on digital (42, 72, 130)-net over F₄, using

trace code for nets [i] based on digital (6, 36, 65)-net over F₁₆, using
- net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [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(4⁷⁴, 131, F₄, 2, 30) (dual of [(131, 2), 188, 31]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4⁷⁶, 132, F₄, 2, 30) (dual of [(132, 2), 188, 31]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(4⁷³, 130, F₄, 2, 30) (dual of [(130, 2), 187, 31]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(4⁸⁷, 138, F₄, 2, 30) (dual of [(138, 2), 189, 31]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(4⁸⁸, 139, F₄, 2, 30) (dual of [(139, 2), 190, 31]-NRT-code)	[i]
6	Linear OOA(4⁸⁹, 140, F₄, 2, 30) (dual of [(140, 2), 191, 31]-NRT-code)	[i]
7	Linear OOA(4⁷², 65, F₄, 3, 30) (dual of [(65, 3), 123, 31]-NRT-code)	[i]		OOA Folding