MinT - Information on Result #1112652

Information on Result #1112652

Linear OOA(3¹⁷⁸, 148, F₃, 5, 72) (dual of [(148, 5), 562, 73]-NRT-code), using extracting embedded OOA based on digital (106, 178, 148)-net over F₃, using

trace code for nets [i] based on digital (17, 89, 74)-net over F₉, using
- net from sequence [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(3¹⁷⁸, 148, F₃, 5, 71) (dual of [(148, 5), 562, 72]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷⁸, 148, F₃, 5, 70) (dual of [(148, 5), 562, 71]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3¹⁸³, 149, F₃, 5, 72) (dual of [(149, 5), 562, 73]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(3¹⁷⁹, 148, F₃, 5, 72) (dual of [(148, 5), 561, 73]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3¹⁸¹, 148, F₃, 5, 72) (dual of [(148, 5), 559, 73]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(3²²³, 167, F₃, 5, 72) (dual of [(167, 5), 612, 73]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
7	Linear OOA(3²²⁵, 168, F₃, 5, 72) (dual of [(168, 5), 615, 73]-NRT-code)	[i]
8	Linear OOA(3²²⁷, 172, F₃, 5, 72) (dual of [(172, 5), 633, 73]-NRT-code)	[i]