MinT - Information on Result #3001971

Information on Result #3001971

Linear OOA(2²²², 115, F₂, 8, 66) (dual of [(115, 8), 698, 67]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(2¹⁹⁸, 112, F₂, 8, 66) (dual of [(112, 8), 698, 67]-NRT-code), using

extracting embedded OOA [i] based on digital (132, 198, 112)-net over F₂, using
- trace code for nets [i] based on digital (33, 99, 56)-net over F₄, using
  - net from sequence [i] based on digital (33, 55)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
      - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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(2²²³, 115, F₂, 8, 66) (dual of [(115, 8), 697, 67]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²²⁴, 115, F₂, 8, 66) (dual of [(115, 8), 696, 67]-NRT-code)	[i]		OOA Duplication