MinT - Information on Result #1003033

Information on Result #1003033

Linear OOA(4⁷⁸, 130, F₄, 3, 33) (dual of [(130, 3), 312, 34]-NRT-code), using extracting embedded OOA based on digital (45, 78, 130)-net over F₄, using

trace code for nets [i] based on digital (6, 39, 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(4⁷⁸, 130, F₄, 3, 32) (dual of [(130, 3), 312, 33]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4⁸¹, 131, F₄, 3, 33) (dual of [(131, 3), 312, 34]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(4⁸⁴, 132, F₄, 3, 33) (dual of [(132, 3), 312, 34]-NRT-code)	[i]
4	Linear OOA(4⁸⁷, 133, F₄, 3, 33) (dual of [(133, 3), 312, 34]-NRT-code)	[i]
5	Linear OOA(4⁹⁰, 134, F₄, 3, 33) (dual of [(134, 3), 312, 34]-NRT-code)	[i]
6	Linear OOA(4⁹³, 135, F₄, 3, 33) (dual of [(135, 3), 312, 34]-NRT-code)	[i]
7	Linear OOA(4⁷⁹, 130, F₄, 3, 33) (dual of [(130, 3), 311, 34]-NRT-code)	[i]		OOA Duplication
8	Linear OOA(4⁹⁵, 139, F₄, 3, 33) (dual of [(139, 3), 322, 34]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
9	Linear OOA(4⁹⁶, 140, F₄, 3, 33) (dual of [(140, 3), 324, 34]-NRT-code)	[i]
10	Linear OOA(4⁹⁷, 144, F₄, 3, 33) (dual of [(144, 3), 335, 34]-NRT-code)	[i]
11	Linear OOA(4⁹⁸, 145, F₄, 3, 33) (dual of [(145, 3), 337, 34]-NRT-code)	[i]