MinT - Information on Result #3001414

Information on Result #3001414

Linear OOA(2¹⁷⁸, 70, F₂, 8, 60) (dual of [(70, 8), 382, 61]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2¹⁶², 68, F₂, 8, 60) (dual of [(68, 8), 382, 61]-NRT-code), using

extracting embedded OOA [i] based on digital (102, 162, 68)-net over F₂, using
- trace code for nets [i] based on digital (21, 81, 34)-net over F₄, using
  - net from sequence [i] based on digital (21, 33)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 21 and N(F) ≥ 34, using
      - T₅ from the second 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(2¹⁷⁹, 70, F₂, 8, 60) (dual of [(70, 8), 381, 61]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁸⁰, 70, F₂, 8, 60) (dual of [(70, 8), 380, 61]-NRT-code)	[i]		OOA Duplication