MinT - Information on Result #889065

Information on Result #889065

Linear OOA(4¹²⁸, 130, F₄, 2, 58) (dual of [(130, 2), 132, 59]-NRT-code), using extracting embedded OOA based on digital (70, 128, 130)-net over F₄, using

trace code for nets [i] based on digital (6, 64, 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(4¹³⁰, 131, F₄, 2, 58) (dual of [(131, 2), 132, 59]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4¹³², 132, F₄, 2, 58) (dual of [(132, 2), 132, 59]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(4¹²⁹, 130, F₄, 2, 58) (dual of [(130, 2), 131, 59]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(4¹⁵⁷, 145, F₄, 2, 58) (dual of [(145, 2), 133, 59]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(4¹⁶⁴, 151, F₄, 2, 58) (dual of [(151, 2), 138, 59]-NRT-code)	[i]
6	Linear OOA(4¹⁶⁷, 157, F₄, 2, 58) (dual of [(157, 2), 147, 59]-NRT-code)	[i]
7	Linear OOA(4¹⁷², 163, F₄, 2, 58) (dual of [(163, 2), 154, 59]-NRT-code)	[i]
8	Linear OOA(4¹²⁸, 65, F₄, 3, 58) (dual of [(65, 3), 67, 59]-NRT-code)	[i]		OOA Folding