MinT - Information on Result #888210

Information on Result #888210

Linear OOA(3¹⁷², 464, F₃, 2, 41) (dual of [(464, 2), 756, 42]-NRT-code), using extracting embedded OOA based on digital (131, 172, 464)-net over F₃, using

trace code for nets [i] based on digital (2, 43, 116)-net over F₈₁, using
- net from sequence [i] based on digital (2, 115)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, using
    - a function field by SÃ©mirat [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(3¹⁷⁴, 465, F₃, 2, 41) (dual of [(465, 2), 756, 42]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁷⁶, 466, F₃, 2, 41) (dual of [(466, 2), 756, 42]-NRT-code)	[i]
3	Linear OOA(3¹⁷⁸, 467, F₃, 2, 41) (dual of [(467, 2), 756, 42]-NRT-code)	[i]
4	Linear OOA(3¹⁷³, 464, F₃, 2, 41) (dual of [(464, 2), 755, 42]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3¹⁷², 232, F₃, 4, 41) (dual of [(232, 4), 756, 42]-NRT-code)	[i]		OOA Folding