MinT - Information on Result #1003306

Information on Result #1003306

Linear OOA(4¹³⁸, 240, F₄, 3, 45) (dual of [(240, 3), 582, 46]-NRT-code), using extracting embedded OOA based on digital (93, 138, 240)-net over F₄, using

trace code for nets [i] based on digital (1, 46, 80)-net over F₆₄, using
- net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, 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(4¹⁴¹, 241, F₄, 3, 45) (dual of [(241, 3), 582, 46]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4¹³⁹, 240, F₄, 3, 45) (dual of [(240, 3), 581, 46]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(4¹⁴⁰, 240, F₄, 3, 45) (dual of [(240, 3), 580, 46]-NRT-code)	[i]		OOA Duplication