MinT - Information on Result #1003212

Information on Result #1003212

Linear OOA(4¹¹⁷, 312, F₄, 3, 36) (dual of [(312, 3), 819, 37]-NRT-code), using extracting embedded OOA based on digital (81, 117, 312)-net over F₄, using

trace code for nets [i] based on digital (3, 39, 104)-net over F₆₄, using
- net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, 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(4¹²⁰, 313, F₄, 3, 36) (dual of [(313, 3), 819, 37]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4¹¹⁸, 312, F₄, 3, 36) (dual of [(312, 3), 818, 37]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(4¹¹⁹, 312, F₄, 3, 36) (dual of [(312, 3), 817, 37]-NRT-code)	[i]		OOA Duplication