MinT - Information on Result #2690651

Information on Result #2690651

Linear OOA(4¹⁷⁷, 533, F₄, 3, 50) (dual of [(533, 3), 1422, 51]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(4¹⁷¹, 531, F₄, 3, 50) (dual of [(531, 3), 1422, 51]-NRT-code), using

extracting embedded OOA [i] based on digital (121, 171, 531)-net over F₄, using
- trace code for nets [i] based on digital (7, 57, 177)-net over F₆₄, using
  - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, 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(4¹⁷⁸, 533, F₄, 3, 50) (dual of [(533, 3), 1421, 51]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(4¹⁷⁹, 533, F₄, 3, 50) (dual of [(533, 3), 1420, 51]-NRT-code)	[i]		OOA Duplication