MinT - Information on Result #2925044

Information on Result #2925044

Linear OOA(2¹⁴⁸, 68, F₂, 6, 53) (dual of [(68, 6), 260, 54]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2¹³⁶, 66, F₂, 6, 53) (dual of [(66, 6), 260, 54]-NRT-code), using

extracting embedded OOA [i] based on digital (83, 136, 66)-net over F₂, using
- trace code for nets [i] based on digital (15, 68, 33)-net over F₄, using
  - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [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		Method
1	Linear OOA(2¹⁴⁹, 68, F₂, 6, 53) (dual of [(68, 6), 259, 54]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2¹⁵⁰, 68, F₂, 6, 53) (dual of [(68, 6), 258, 54]-NRT-code)	[i]
3	Linear OOA(2¹⁵¹, 68, F₂, 6, 53) (dual of [(68, 6), 257, 54]-NRT-code)	[i]
4	Linear OOA(2¹⁵², 68, F₂, 6, 53) (dual of [(68, 6), 256, 54]-NRT-code)	[i]
5	Linear OOA(2¹⁵³, 68, F₂, 6, 53) (dual of [(68, 6), 255, 54]-NRT-code)	[i]