MinT - Information on Result #1174419

Information on Result #1174419

Linear OOA(2²¹², 66, F₂, 8, 91) (dual of [(66, 8), 316, 92]-NRT-code), using extracting embedded OOA based on digital (121, 212, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 106, 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(2²¹², 66, F₂, 8, 90) (dual of [(66, 8), 316, 91]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²¹², 66, F₂, 8, 89) (dual of [(66, 8), 316, 90]-NRT-code)	[i]
3	Linear OOA(2²¹², 66, F₂, 8, 88) (dual of [(66, 8), 316, 89]-NRT-code)	[i]
4	Linear OOA(2²²⁰, 67, F₂, 8, 91) (dual of [(67, 8), 316, 92]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(2²¹³, 66, F₂, 8, 91) (dual of [(66, 8), 315, 92]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2²¹⁵, 66, F₂, 8, 91) (dual of [(66, 8), 313, 92]-NRT-code)	[i]
7	Linear OOA(2²¹⁷, 66, F₂, 8, 91) (dual of [(66, 8), 311, 92]-NRT-code)	[i]
8	Linear OOA(2²¹⁹, 66, F₂, 8, 91) (dual of [(66, 8), 309, 92]-NRT-code)	[i]