MinT - Information on Result #1003346

Information on Result #1003346

Linear OOA(4¹⁵⁰, 384, F₄, 3, 45) (dual of [(384, 3), 1002, 46]-NRT-code), using extracting embedded OOA based on digital (105, 150, 384)-net over F₄, using

trace code for nets [i] based on digital (5, 50, 128)-net over F₆₄, using
- net from sequence [i] based on digital (5, 127)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, 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(4¹⁵³, 385, F₄, 3, 45) (dual of [(385, 3), 1002, 46]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4¹⁵¹, 384, F₄, 3, 45) (dual of [(384, 3), 1001, 46]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(4¹⁵², 384, F₄, 3, 45) (dual of [(384, 3), 1000, 46]-NRT-code)	[i]		OOA Duplication