MinT - Information on Result #1003043

Information on Result #1003043

Linear OOA(4⁸⁰, 130, F₄, 3, 34) (dual of [(130, 3), 310, 35]-NRT-code), using extracting embedded OOA based on digital (46, 80, 130)-net over F₄, using

trace code for nets [i] based on digital (6, 40, 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(4⁸⁰, 130, F₄, 3, 33) (dual of [(130, 3), 310, 34]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4⁸³, 131, F₄, 3, 34) (dual of [(131, 3), 310, 35]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(4⁸⁶, 132, F₄, 3, 34) (dual of [(132, 3), 310, 35]-NRT-code)	[i]
4	Linear OOA(4⁸⁹, 133, F₄, 3, 34) (dual of [(133, 3), 310, 35]-NRT-code)	[i]
5	Linear OOA(4⁹², 134, F₄, 3, 34) (dual of [(134, 3), 310, 35]-NRT-code)	[i]
6	Linear OOA(4⁹⁵, 135, F₄, 3, 34) (dual of [(135, 3), 310, 35]-NRT-code)	[i]
7	Linear OOA(4⁸¹, 130, F₄, 3, 34) (dual of [(130, 3), 309, 35]-NRT-code)	[i]		OOA Duplication
8	Linear OOA(4⁹⁷, 136, F₄, 3, 34) (dual of [(136, 3), 311, 35]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
9	Linear OOA(4⁹⁸, 139, F₄, 3, 34) (dual of [(139, 3), 319, 35]-NRT-code)	[i]
10	Linear OOA(4⁹⁹, 140, F₄, 3, 34) (dual of [(140, 3), 321, 35]-NRT-code)	[i]
11	Linear OOA(4¹⁰⁰, 144, F₄, 3, 34) (dual of [(144, 3), 332, 35]-NRT-code)	[i]
12	Linear OOA(4¹⁰¹, 145, F₄, 3, 34) (dual of [(145, 3), 334, 35]-NRT-code)	[i]