MinT - Information on Result #887727

Information on Result #887727

Linear OOA(3⁷⁵, 144, F₃, 2, 23) (dual of [(144, 2), 213, 24]-NRT-code), using extracting embedded OOA based on digital (52, 75, 144)-net over F₃, using

trace code for nets [i] based on digital (2, 25, 48)-net over F₂₇, using
- net from sequence [i] based on digital (2, 47)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, 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(3⁷⁷, 145, F₃, 2, 23) (dual of [(145, 2), 213, 24]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3⁷⁶, 144, F₃, 2, 23) (dual of [(144, 2), 212, 24]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3⁷⁵, 72, F₃, 3, 23) (dual of [(72, 3), 141, 24]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3⁷⁵, 72, F₃, 4, 23) (dual of [(72, 4), 213, 24]-NRT-code)	[i]		OOA Folding