MinT - Information on Result #1158630

Information on Result #1158630

Linear OOA(2²¹⁸, 66, F₂, 7, 94) (dual of [(66, 7), 244, 95]-NRT-code), using extracting embedded OOA based on digital (124, 218, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 109, 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(2²¹⁸, 66, F₂, 7, 93) (dual of [(66, 7), 244, 94]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²¹⁸, 66, F₂, 7, 92) (dual of [(66, 7), 244, 93]-NRT-code)	[i]
3	Linear OOA(2²¹⁸, 66, F₂, 7, 91) (dual of [(66, 7), 244, 92]-NRT-code)	[i]
4	Linear OOA(2²²⁵, 67, F₂, 7, 94) (dual of [(67, 7), 244, 95]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(2²¹⁹, 66, F₂, 7, 94) (dual of [(66, 7), 243, 95]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2²²¹, 66, F₂, 7, 94) (dual of [(66, 7), 241, 95]-NRT-code)	[i]		OOA Duplication