MinT - Information on Result #1114171

Information on Result #1114171

Linear OOA(3²⁴⁴, 74, F₃, 5, 137) (dual of [(74, 5), 126, 138]-NRT-code), using extracting embedded OOA based on digital (107, 244, 74)-net over F₃, using

net from sequence [i] based on digital (107, 73)-sequence over F₃, using
- base reduction for sequences [i] based on digital (17, 73)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [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(3²⁴⁴, 74, F₃, 5, 136) (dual of [(74, 5), 126, 137]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴⁴, 74, F₃, 5, 135) (dual of [(74, 5), 126, 136]-NRT-code)	[i]
3	Linear OOA(3²⁴⁴, 74, F₃, 5, 134) (dual of [(74, 5), 126, 135]-NRT-code)	[i]
4	Linear OOA(3²⁴⁴, 74, F₃, 5, 133) (dual of [(74, 5), 126, 134]-NRT-code)	[i]
5	Linear OOA(3²⁴⁹, 75, F₃, 5, 137) (dual of [(75, 5), 126, 138]-NRT-code)	[i]		NRT-Code Embedding in Larger Space