MinT - Information on Result #1173262

Information on Result #1173262

Linear OOA(2¹³⁵, 144, F₂, 8, 34) (dual of [(144, 8), 1017, 35]-NRT-code), using extracting embedded OOA based on digital (101, 135, 144)-net over F₂, using

trace code for nets [i] based on digital (11, 45, 48)-net over F₈, using
- net from sequence [i] based on digital (11, 47)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
    - a function field by SÃ©mirat [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(2¹³⁵, 144, F₂, 8, 33) (dual of [(144, 8), 1017, 34]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³⁵, 144, F₂, 8, 32) (dual of [(144, 8), 1017, 33]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2¹⁴³, 145, F₂, 8, 34) (dual of [(145, 8), 1017, 35]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2¹³⁶, 144, F₂, 8, 34) (dual of [(144, 8), 1016, 35]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2¹³⁷, 144, F₂, 8, 34) (dual of [(144, 8), 1015, 35]-NRT-code)	[i]
6	Linear OOA(2¹³⁹, 144, F₂, 8, 34) (dual of [(144, 8), 1013, 35]-NRT-code)	[i]
7	Linear OOA(2¹⁴⁰, 144, F₂, 8, 34) (dual of [(144, 8), 1012, 35]-NRT-code)	[i]
8	Linear OOA(2¹⁴², 144, F₂, 8, 34) (dual of [(144, 8), 1010, 35]-NRT-code)	[i]