MinT - Information on Result #888429

Information on Result #888429

Linear OOA(3²¹⁶, 288, F₃, 2, 61) (dual of [(288, 2), 360, 62]-NRT-code), using extracting embedded OOA based on digital (155, 216, 288)-net over F₃, using

trace code for nets [i] based on digital (11, 72, 96)-net over F₂₇, using
- net from sequence [i] based on digital (11, 95)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96, using
    - an explicitly constructive algebraic function field [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(3²¹⁸, 289, F₃, 2, 61) (dual of [(289, 2), 360, 62]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3²²⁰, 290, F₃, 2, 61) (dual of [(290, 2), 360, 62]-NRT-code)	[i]
3	Linear OOA(3²²², 291, F₃, 2, 61) (dual of [(291, 2), 360, 62]-NRT-code)	[i]
4	Linear OOA(3²²⁴, 292, F₃, 2, 61) (dual of [(292, 2), 360, 62]-NRT-code)	[i]
5	Linear OOA(3²¹⁷, 288, F₃, 2, 61) (dual of [(288, 2), 359, 62]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(3²¹⁶, 144, F₃, 4, 61) (dual of [(144, 4), 360, 62]-NRT-code)	[i]		OOA Folding