MinT - Information on Result #2999667

Information on Result #2999667

Linear OOA(2¹²², 67, F₂, 8, 42) (dual of [(67, 8), 414, 43]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2¹¹⁴, 66, F₂, 8, 42) (dual of [(66, 8), 414, 43]-NRT-code), using

extracting embedded OOA [i] based on digital (72, 114, 66)-net over F₂, using
- trace code for nets [i] based on digital (15, 57, 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(2¹²³, 67, F₂, 8, 42) (dual of [(67, 8), 413, 43]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2¹²⁴, 67, F₂, 8, 42) (dual of [(67, 8), 412, 43]-NRT-code)	[i]
3	Linear OOA(2¹²⁵, 67, F₂, 8, 42) (dual of [(67, 8), 411, 43]-NRT-code)	[i]