MinT - Information on Result #1113465

Information on Result #1113465

Linear OOA(3²¹⁶, 1480, F₃, 5, 38) (dual of [(1480, 5), 7184, 39]-NRT-code), using extracting embedded OOA based on digital (178, 216, 1480)-net over F₃, using

trace code for nets [i] based on digital (16, 54, 370)-net over F₈₁, using
- net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, 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(3²²¹, 1481, F₃, 5, 38) (dual of [(1481, 5), 7184, 39]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3²¹⁷, 1480, F₃, 5, 38) (dual of [(1480, 5), 7183, 39]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3²¹⁸, 1480, F₃, 5, 38) (dual of [(1480, 5), 7182, 39]-NRT-code)	[i]
4	Linear OOA(3²¹⁹, 1480, F₃, 5, 38) (dual of [(1480, 5), 7181, 39]-NRT-code)	[i]