MinT - Information on Result #889397

Information on Result #889397

Linear OOA(4²³¹, 531, F₄, 2, 70) (dual of [(531, 2), 831, 71]-NRT-code), using extracting embedded OOA based on digital (161, 231, 531)-net over F₄, using

trace code for nets [i] based on digital (7, 77, 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(4²³³, 532, F₄, 2, 70) (dual of [(532, 2), 831, 71]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4²³⁵, 533, F₄, 2, 70) (dual of [(533, 2), 831, 71]-NRT-code)	[i]
3	Linear OOA(4²³⁷, 534, F₄, 2, 70) (dual of [(534, 2), 831, 71]-NRT-code)	[i]
4	Linear OOA(4²³⁹, 535, F₄, 2, 70) (dual of [(535, 2), 831, 71]-NRT-code)	[i]
5	Linear OOA(4²³², 531, F₄, 2, 70) (dual of [(531, 2), 830, 71]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(4²³¹, 265, F₄, 3, 70) (dual of [(265, 3), 564, 71]-NRT-code)	[i]		OOA Folding