MinT - Information on Result #1110191

Information on Result #1110191

Linear OOA(2¹⁰⁴, 66, F₂, 5, 37) (dual of [(66, 5), 226, 38]-NRT-code), using extracting embedded OOA based on digital (67, 104, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 52, 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(2¹⁰⁴, 66, F₂, 5, 36) (dual of [(66, 5), 226, 37]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁰⁴, 66, F₂, 5, 35) (dual of [(66, 5), 226, 36]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2¹⁰⁹, 67, F₂, 5, 37) (dual of [(67, 5), 226, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2¹¹⁴, 68, F₂, 5, 37) (dual of [(68, 5), 226, 38]-NRT-code)	[i]
5	Linear OOA(2¹¹⁹, 69, F₂, 5, 37) (dual of [(69, 5), 226, 38]-NRT-code)	[i]
6	Linear OOA(2¹⁰⁵, 66, F₂, 5, 37) (dual of [(66, 5), 225, 38]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2¹⁰⁷, 66, F₂, 5, 37) (dual of [(66, 5), 223, 38]-NRT-code)	[i]		OOA Duplication