MinT - Information on Result #1076611

Information on Result #1076611

Linear OOA(3¹⁴², 128, F₃, 4, 58) (dual of [(128, 4), 370, 59]-NRT-code), using extracting embedded OOA based on digital (84, 142, 128)-net over F₃, using

trace code for nets [i] based on digital (13, 71, 64)-net over F₉, using
- net from sequence [i] based on digital (13, 63)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
    - a function field by GarcÃa and Quoos [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(3¹⁴², 128, F₃, 4, 57) (dual of [(128, 4), 370, 58]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁴⁶, 129, F₃, 4, 58) (dual of [(129, 4), 370, 59]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3¹⁴³, 128, F₃, 4, 58) (dual of [(128, 4), 369, 59]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3¹⁴⁵, 128, F₃, 4, 58) (dual of [(128, 4), 367, 59]-NRT-code)	[i]		OOA Duplication