MinT - Information on Result #1074952

Information on Result #1074952

Linear OOA(2¹¹⁰, 66, F₂, 4, 40) (dual of [(66, 4), 154, 41]-NRT-code), using extracting embedded OOA based on digital (70, 110, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 55, 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		This result only	Method
1	Linear OOA(2¹¹⁰, 66, F₂, 4, 39) (dual of [(66, 4), 154, 40]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹¹⁴, 67, F₂, 4, 40) (dual of [(67, 4), 154, 41]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹¹⁸, 68, F₂, 4, 40) (dual of [(68, 4), 154, 41]-NRT-code)	[i]
4	Linear OOA(2¹²², 69, F₂, 4, 40) (dual of [(69, 4), 154, 41]-NRT-code)	[i]
5	Linear OOA(2¹²⁶, 70, F₂, 4, 40) (dual of [(70, 4), 154, 41]-NRT-code)	[i]
6	Linear OOA(2¹¹¹, 66, F₂, 4, 40) (dual of [(66, 4), 153, 41]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2¹¹³, 66, F₂, 4, 40) (dual of [(66, 4), 151, 41]-NRT-code)	[i]		OOA Duplication
8	Linear OOA(2¹¹⁰, 33, F₂, 7, 40) (dual of [(33, 7), 121, 41]-NRT-code)	[i]		OOA Folding
9	Linear OOA(2¹¹⁰, 33, F₂, 8, 40) (dual of [(33, 8), 154, 41]-NRT-code)	[i]		OOA Folding